diff --git a/FPCP_2018/bdt.pdf b/FPCP_2018/bdt.pdf deleted file mode 100644 index a888c91..0000000 --- a/FPCP_2018/bdt.pdf +++ /dev/null Binary files differ diff --git a/FPCP_2018/mchrzasz.log b/FPCP_2018/mchrzasz.log index 51ff035..1246c13 100644 --- a/FPCP_2018/mchrzasz.log +++ b/FPCP_2018/mchrzasz.log @@ -1,4 +1,4 @@ -This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/Debian) (preloaded format=xelatex 2018.1.14) 10 JUL 2018 15:55 +This is XeTeX, Version 3.14159265-2.6-0.99992 (TeX Live 2015/Debian) (preloaded format=xelatex 2018.1.14) 14 JUL 2018 05:51 entering extended mode restricted \write18 enabled. %&-line parsing enabled. @@ -2883,7 +2883,7 @@ Here is how much of TeX's memory you used: 51625 strings out of 493638 1025720 string characters out of 6146796 - 1315247 words of memory out of 5000000 + 1315246 words of memory out of 5000000 53978 multiletter control sequences out of 15000+600000 41063 words of font info for 157 fonts, out of 8000000 for 9000 1328 hyphenation exceptions out of 8191 diff --git a/FPCP_2018/mchrzasz.pdf b/FPCP_2018/mchrzasz.pdf index a234a4f..f6a34fe 100644 --- a/FPCP_2018/mchrzasz.pdf +++ b/FPCP_2018/mchrzasz.pdf Binary files differ diff --git a/FPCP_2018/mchrzasz.synctex.gz b/FPCP_2018/mchrzasz.synctex.gz deleted file mode 100644 index dfa3983..0000000 --- a/FPCP_2018/mchrzasz.synctex.gz +++ /dev/null Binary files differ diff --git a/FPCP_2018/mchrzasz.tex b/FPCP_2018/mchrzasz.tex index d837970..d9f116b 100644 --- a/FPCP_2018/mchrzasz.tex +++ b/FPCP_2018/mchrzasz.tex @@ -351,9 +351,9 @@ \begin{itemize} \item Other interactions are flavour conserving. \end{itemize} -\item One can escape this constrain and produce $\Pbottom \to \Pstrange$ and $\Pbottom \to \Pdown$ at loop level. +\item One can escape this constraint and produce $\Pbottom \to \Pstrange$ and $\Pbottom \to \Pdown$ at loop level. \begin{itemize} -\item These kind of processes are suppressed in the SM $\to$~Rare decays. +\item These kinds of processes are suppressed in the SM $\to$~Rare decays. \item New Physics can enter in the loops. \end{itemize} \end{itemize} @@ -434,7 +434,7 @@ \end{itemize} \end{exampleblock} {~}\\ -\ARROW To many results to be covered in one talk! Please see A.~Campo's talk for more! +\ARROW Too many results to be covered in one talk! Please see A.~Oyanguren's talk for more! \column{0.5\textwidth} \begin{alertblock}{$\Pbeauty \to \Pstrange \gamma$ family} @@ -511,7 +511,7 @@ {~} \column{0.6\textwidth} \ARROW Update with $5~\invfb$.\\ -\ARROW 610 events observed in the high $q^2$.\\ +\ARROW 610 events observed at high $q^2$.\\ \ARROW Angular efficiency modelled in 6D.\\{~}\\ \includegraphics[width=0.99\textwidth]{{images/angles.pdf}} @@ -899,7 +899,7 @@ \begin{align*} \mathcal{B}(\Lambda_c \to \Pproton \omega) = \left( 9.4 \pm 3.2 \pm 1.0 \pm 2.0 \right) \cdot 10^{-4} \end{align*} -\ARROW No significant accesses observed in the nonresonant region: +\ARROW No significant excess observed in the nonresonant region: \begin{align*} \mathcal{B}(\Lambda_c \to \Pproton \mu \mu) < 7.7(9.6) \times 10^{-8} \end{align*} @@ -1098,7 +1098,7 @@ \end{center} -\ARROW Previously HyperCP collaboration reported evidence of this decay: $\mathcal{B}(\Sigma \to \Pproton \mu \mu) = \left( 8.6^{+6.6}_{-5.4} \pm 5.5 \right) \cdot 10^{-8}$ \begin{footnotesize} Rev Lett 94 021801, 2005] \end{footnotesize}\\ +\ARROW Previously HyperCP collaboration reported evidence of this decay: $\mathcal{B}(\Sigma \to \Pproton \mu \mu) = \left( 8.6^{+6.6}_{-5.4} \pm 5.5 \right) \cdot 10^{-8}$ \begin{footnotesize} [Phys Rev Lett 94 021801, 2005] \end{footnotesize}\\ \begin{columns} \column{0.02\textwidth} @@ -1159,8 +1159,8 @@ \begin{frame}\frametitle{Summary} -\ARROW FCNC processes provides powerful constraints on extensions of the SM. \\ -\ARROW Large $\Pbeauty\APbeauty$ cross-section provide a large sample of ''rare'' decay processes.\\ +\ARROW FCNC processes provide powerful constraints on extensions of the SM. \\ +\ARROW Large $\Pbeauty\APbeauty$ cross-section provides a large sample of ''rare'' decay processes.\\ \ARROW More results being updated with Run2 data.\\ \begin{center} \includegraphics[width=0.6\textwidth]{images/2017stat.png} diff --git a/FPCP_2018/mchrzasz_v2.pdf b/FPCP_2018/mchrzasz_v2.pdf deleted file mode 100644 index a234a4f..0000000 --- a/FPCP_2018/mchrzasz_v2.pdf +++ /dev/null Binary files differ diff --git a/Seminars/India_IMSC_2018/Makefile b/Seminars/India_IMSC_2018/Makefile new file mode 100644 index 0000000..e4cf8e8 --- /dev/null +++ b/Seminars/India_IMSC_2018/Makefile @@ -0,0 +1,9 @@ +all: mchrzasz.pdf + +mchrzasz.pdf: mchrzasz.tex + xelatex mchrzasz.tex +# bibtex mchrzasz + xelatex mchrzasz.tex +# xelatex mchrzasz.tex +clean: + rm *.aux *.bbl *.blg *.log *.out *.pdf *.sh *.xml *.snm *.toc *.nav diff --git a/Seminars/India_IMSC_2018/beamercolorthemeFlip.sty b/Seminars/India_IMSC_2018/beamercolorthemeFlip.sty new file mode 100755 index 0000000..d6b9c50 --- /dev/null +++ b/Seminars/India_IMSC_2018/beamercolorthemeFlip.sty @@ -0,0 +1,179 @@ +% Color style file for the BEAMER FLIP THEME +% Copyright 2012 by Flip Tanedo +% This file may be distributed and/or modified +% 1. under the LaTeX Project Public License and/or +% 2. under the GNU Public License. + + + +\mode +\newif\ifbeamer@Flip@dark +\beamer@Flip@darkfalse +\DeclareOptionBeamer{dark}{\beamer@Flip@darktrue} +\ProcessOptionsBeamer + + +% These are a few colors that I like. + +\definecolor{crimsonred}{RGB}{153,0,0} % Neurtal red, good for dark or light bg +\definecolor{darkcharcoal}{RGB}{25,25,25} % Darker gray +\definecolor{charcoal}{RGB}{51,51,51} % Darker gray +\definecolor{ash}{RGB}{100,100,100} % medium gray +\definecolor{paleblue}{RGB}{0,102,102} % More of an `ocean' color +\definecolor{turtlegreen}{RGB}{51,153,0} % A more neutral green +\definecolor{paleale}{RGB}{204,204,102} % Only for dark BG +\definecolor{lager}{RGB}{140,110,10} % Use instead of pale ale for white BG +\definecolor{regal}{RGB}{90,0,120} % A more neutral purple +\definecolor{jeans}{RGB}{20,30,150} % A more neutral blue + + +% Define some "invariant colors" so that a color that doen't work with a +% light/dark background will automatically be substituted with one that does. +% These will be rewritten in beamercolorthemeFlipDark + +\ifbeamer@Flip@dark + \definecolor{FlipSand}{RGB}{204,204,102} % paleale, Only for dark BG + \definecolor{FlipGreen}{RGB}{0,255,0} % Neon-like green, only for dark BG +\else + \definecolor{FlipSand}{RGB}{140,110,10} % lager, Only for light BG + \definecolor{FlipGreen}{RGB}{51,153,0} % turtlegreen, works for both +\fi + +%% Future revision: It would be nice to define these in terms of the palette. + + +\ifbeamer@Flip@dark + \setbeamercolor{normal text}{fg=white, bg=black} + \setbeamercolor{structure}{fg=gray, bg=black} % fg controls bullets + \setbeamercolor*{footerlike}{fg=white,bg=black} % Controls the footerline +\else + % Default to black on white + \setbeamercolor*{footerlike}{fg=white,bg=charcoal} % for charcoal footer + \setbeamercolor{structure}{fg=charcoal, bg=white} % fg controls bullets + % \setbeamercolor{normal text}{fg=white, bg=black} +\fi + + + + + +% These defined colors can be used in \textcolor{colorname}{text in that color}. + +% Colors for Keynote background: DARK +\definecolor{keynotebottom}{rgb}{0.32,0.3,0.38} +\definecolor{keynotemiddle}{rgb}{0.08,0.08,0.16} +\definecolor{keynotetop}{rgb}{0,0,0} +%%% Example of usage: +%% \setbeamertemplate{background canvas}[vertical shading] +%% [bottom=keynotebottom, middle=keynotemiddle, top=keynotetop] + + + + +% ALERT AND COMMENT COLORS (just copies of the above colors) +% (I don't know how ot do this more elegantly) +\ifbeamer@Flip@dark + \definecolor{ALERT}{RGB}{153,0,0} % crimsonred + \definecolor{Alert}{RGB}{51,153,0} % turtlegreen + \definecolor{alert}{RGB}{204,204,102} % paleale + \definecolor{charcoal}{RGB}{51,51,51} % charcoal + \definecolor{comment}{RGB}{80,80,80} % light charcoal + \definecolor{Comment}{RGB}{100,100,100} % ash + \definecolor{COMMENT}{RGB}{80,20,120} % regal +\else +% \definecolor{ALERT}{RGB}{153,0,0} % crimsonred + \definecolor{ALERT}{RGB}{28,134,238} % DodgerBlue2 +% \definecolor{Alert}{RGB}{51,153,0} % turtlegreen + \definecolor{Alert}{RGB}{255,127,36} % chocolate1 +% \definecolor{alert}{RGB}{140,110,10} % lager + \definecolor{alert}{RGB}{0,205,102} % SpringGreen3 + \definecolor{charcoal}{RGB}{80,80,80} % light charcoal + \definecolor{comment}{RGB}{51,51,51} % charcoal + \definecolor{Comment}{RGB}{100,100,100} % ash + \definecolor{COMMENT}{RGB}{80,20,120} % regal +\fi + + +% \definecolor{crimsonred}{RGB}{153,0,0} % Neurtal red, good for dark or light bg +% \definecolor{charcoal}{RGB}{51,51,51} % Darker gray +% \definecolor{ash}{RGB}{100,100,100} % medium gray +% \definecolor{paleblue}{RGB}{0,102,102} % More of an `ocean' color +% \definecolor{turtlegreen}{RGB}{51,153,0} % A more neutral green +% \definecolor{paleale}{RGB}{204,204,102} % Only for dark BG +% \definecolor{lager}{RGB}{140,110,10} % Use instead of pale ale for white BG +% \definecolor{regal}{RGB}{90,0,120} % A more neutral purple +% \definecolor{jeans}{RGB}{20,30,150} % A more neutral blue + + +% A few useful colors +\setbeamercolor{alerted text}{fg=alert} + +%% I would like ot use these colors, but there seems to be a bug in Beamer +%% where the footnote color infects the normal text color +%% See: http://tex.stackexchange.com/questions/8264/beamer-changing-the-footnote-color-also-changes-the-normal-text-color/8268#8268 + +% \setbeamercolor{footnote}{parent=normal text, fg=FlipSand} +% \setbeamercolor{footnote mark}{parent=normal text, fg=FlipSand} + +% Blocks +\setbeamercolor{block title}{fg=gray!30!white,bg=charcoal} +\setbeamercolor{block body}{parent=normal text,bg=gray, fg=white} + +\setbeamercolor{block title example}{fg=turtlegreen!30!white,bg=turtlegreen!40!black} +\setbeamercolor{block body example}{parent=normal text,bg=turtlegreen, fg=white} +% +\setbeamercolor{block title alerted}{fg=crimsonred!30!white,bg=crimsonred!40!black} +\setbeamercolor{block body alerted}{parent=normal text,bg=crimsonred, fg=white} + + + +% These "setbeamercolor" commands are more standardized. + + +%% From the Beamer User Guide: +% Outer themes base the color of navigational elements and, possibly, also of other elements, on the +% four palette colors. The “primary” palette should be used for the most important navigational elements, +% which are usually the ones that change most often and hence require the most attention by the audience. +% The “secondary” and “tertiary” are less important, the “quaternary” one is least important. +% By default, the palette colors do not have a background and the foreground ranges from structure.fg to black. +% For the sidebar, there is an extra set of palette colors, see palette sidebar primary. + +\setbeamercolor*{palette primary}{fg=crimsonred,bg=charcoal} +\setbeamercolor*{palette secondary}{fg=paleale,bg=lager} +\setbeamercolor*{palette tertiary}{fg=turtlegreen,bg=jeans} +\setbeamercolor*{palette quaternary}{fg=paleblue,bg=regal} + +% \setbeamercolor*{palette primary}{fg=crimsonred,bg=white} +% \setbeamercolor*{palette secondary}{fg=charcoal,bg=white} +% \setbeamercolor*{palette tertiary}{fg=paleblue,bg=white} +% \setbeamercolor*{palette quaternary}{fg=turtlegreen,bg=white} + + + +%% These are some structures that I define for use in the outer theme. + +\setbeamercolor*{crimsontown}{fg=paleblue,bg=crimsonred} +\setbeamercolor*{bluetown}{fg=white,bg=DodgerBlue2} +%\setbeamercolor*{titlelike}{fg=crimsonred} +\setbeamercolor*{titlelike}{fg=DodgerBlue2} +\setbeamercolor*{topbarlike}{fg=white, bg=charcoal} + + + + + +%% Some old definitions that I might want to get back to +% +% \setbeamercolor*{frametitle}{bg=white,fg=charcoal} +% \setbeamercolor*{part title}{bg=white,fg=charcoal} +% \setbeamercolor*{item}{fg=charcoal, bg=white} +% +% \setbeamercolor*{separation line}{} +% \setbeamercolor*{fine separation line}{} + + + + + +\mode + diff --git a/Seminars/India_IMSC_2018/beamerinnerthemeFlip.sty b/Seminars/India_IMSC_2018/beamerinnerthemeFlip.sty new file mode 100755 index 0000000..9910f4d --- /dev/null +++ b/Seminars/India_IMSC_2018/beamerinnerthemeFlip.sty @@ -0,0 +1,95 @@ +% Inner style file for the BEAMER FLIP THEME +% Copyright 2010 by Flip Tanedo +% This file may be distributed and/or modified +% 1. under the LaTeX Project Public License and/or +% 2. under the GNU Public License. +% +% Based on: beamerinnerthemeFlip by Marco Barisione + +\mode + +% % Use alternative title page style. +% \DeclareOptionBeamer{alternativetitlepage}[true]{\def\beamer@Flip@alternativetitlepage{#1}} + +% Logo to use in the alternative title page. +% \def\beamer@Flip@titlepagelogo{} +% \DeclareOptionBeamer{titlepagelogo}{\def\beamer@Flip@titlepagelogo{#1}} + +% Bullet shape. +\DeclareOptionBeamer{bullet}{\def\beamer@Flip@bullet{#1}} +\DeclareOptionBeamer{shadow}[true]{\def\beamer@themerounded@shadow{#1}} +\ExecuteOptionsBeamer{shadow=false} + + +% \ExecuteOptionsBeamer{alternativetitlepage=false,bullet=square} +\ProcessOptionsBeamer + + + +% Margins. +\newlength{\beamer@Flip@normalmargin} +\setlength{\beamer@Flip@normalmargin}{.06\paperwidth} +\setbeamersize{text margin left=\beamer@Flip@normalmargin} +\setbeamersize{text margin right=\beamer@Flip@normalmargin} +\setlength\leftmargini{.6\beamer@Flip@normalmargin} +\setlength\leftmarginii{.6\beamer@Flip@normalmargin} +\setlength\leftmarginiii{.6\beamer@Flip@normalmargin} + +% Normal title page. +\defbeamertemplate*{title page normal}{Flip theme}[1][] +{ + \vbox{} + \vfill + \begin{centering} + \begin{beamercolorbox}[wd=\paperwidth,sep=8pt,center,#1]{title page header} + \usebeamerfont{title}\inserttitle\par% + \ifx\insertsubtitle\@empty% + \else% + \vskip0.25em% + {\usebeamerfont{subtitle}\usebeamercolor[fg]{subtitle}\insertsubtitle\par}% + \fi% + \end{beamercolorbox}% + \vskip1em\par + \begin{beamercolorbox}[sep=8pt,center,#1]{author} + \usebeamerfont{author}\insertauthor + \end{beamercolorbox} + \begin{beamercolorbox}[sep=8pt,center,#1]{institute} + \usebeamerfont{institute}\insertinstitute + \end{beamercolorbox} + \begin{beamercolorbox}[sep=8pt,center,#1]{date} + \usebeamerfont{date}\insertdate + \end{beamercolorbox}\vskip0.5em + {\usebeamercolor[fg]{titlegraphic}\inserttitlegraphic\par} + \end{centering} + \vfill +} + + +% Items. +\defbeamertemplate{itemize item}{squarealt}% +{\tiny\raise.5ex\hbox{\donotcoloroutermaths$\blacksquare$}} +\defbeamertemplate{itemize subitem}{squarealt}% +{\tiny\raise.4ex\hbox{\donotcoloroutermaths$\square$}} +\defbeamertemplate{itemize subsubitem}{squarealt}% +{\tiny\raise.3ex\hbox{\donotcoloroutermaths$\blacksquare$}} +% +\defbeamertemplate{itemize item}{circlealt}% +{\small\raise.2ex\hbox{\donotcoloroutermaths$\bullet$}} +\defbeamertemplate{itemize subitem}{circlealt}% +{\small\raise.1ex\hbox{\donotcoloroutermaths$\circ$}} +\defbeamertemplate{itemize subsubitem}{circlealt}% +{\scriptsize\raise.1ex\hbox{\donotcoloroutermaths$\bullet$}} +\setbeamertemplate{items}[circlealt] +% +\def\circletext{circle} +\ifx\beamer@Flip@bullet\circletext + \setbeamertemplate{items}[circlealt] +\else + \setbeamertemplate{items}[squarealt] +\fi + +\setbeamertemplate{blocks}[rounded][shadow=\beamer@themerounded@shadow] + + +\mode + diff --git a/Seminars/India_IMSC_2018/beamerouterthemeFlip.sty b/Seminars/India_IMSC_2018/beamerouterthemeFlip.sty new file mode 100755 index 0000000..d12f6d6 --- /dev/null +++ b/Seminars/India_IMSC_2018/beamerouterthemeFlip.sty @@ -0,0 +1,189 @@ +% Outer style file for the BEAMER FLIP THEME 212 +% Copyright 2012 by Flip Tanedo +% This file may be distributed and/or modified +% 1. under the LaTeX Project Public License and/or +% 2. under the GNU Public License. +% +% Based on: beamerouterthemesplit by Till Tantau + + +\mode + +% Watermark +\DeclareOptionBeamer{watermark}{\def\beamer@Flip@watermark{#1}} +\ExecuteOptionsBeamer{watermark=} % Default value is empty + + +\newif\ifbeamer@Flip@bigpagenumber +\beamer@Flip@bigpagenumberfalse +\DeclareOptionBeamer{bigpagenumber}{\beamer@Flip@bigpagenumbertrue} + + +\def\beamer@Flip@truetext{true} % Kludge for true/false so I can use ifx + +\DeclareOptionBeamer{topline}[true]{\def\beamer@Flip@topline{#1}} +\ExecuteOptionsBeamer{topline=false} % Default + + + +% \ExecuteOptionsBeamer{topline=} % Default value is empty + + +\ProcessOptionsBeamer + + +\usepackage{tikz} % For fancy decorations + + +% I should fix these up to be more robust against color changes +\setbeamercolor{section in head/foot}{parent=footerlike} +\setbeamercolor{subsection in head/foot}{parent=footerlike} +\setbeamercolor{author in head/foot}{parent=footerlike} +\setbeamercolor{title in head/foot}{parent=footerlike} + + +% \setbeamercolor{author in head/foot}{parent=section in head/foot} +% \setbeamercolor{title in head/foot}{parent=subsection in head/foot} + +%\setbeamercolor{topbar}{parent=crimsontown} +\setbeamercolor{topbar}{parent=bluetown} + + + + +\usesectionheadtemplate + {\hfill\insertsectionhead} + {\hfill\color{fg!50!bg}\insertsectionhead} + + +%%%%%%%%%%%%%%%%%% +% The footer bar % +%%%%%%%%%%%%%%%%%% + +\defbeamertemplate*{footline}{Flip theme} +{% + \leavevmode% +% OBSERVATION: the "%" symbols inside hbox are all very important here. +% The \hbox enviroment will insert spaces whenever there's whitespace +% Adding a % at the END of each line ensures that any hard returns aren't +% interpreted as white space. This allows the color boxes to be flush against +% one another. If a faint white line appears one could probably do something like +% hspace{-1px} and add an additional pixel-or-two wide beamercolorbox. + +\hbox{% +\begin{beamercolorbox}[wd=.4\paperwidth,ht=2.5ex,dp=1.125ex,leftskip=.3cm, rightskip=.3cm plus1fil]{author in head/foot}% + \usebeamerfont{author in head/foot}\insertshortauthor \end{beamercolorbox}% +% +\begin{beamercolorbox}[wd=.6\paperwidth,ht=2.5ex,dp=1.125ex,leftskip=.3cm,rightskip=.3cm plus1fil]{title in head/foot}% + \usebeamerfont{title in head/foot}{\textit \insertshorttitle}% + \hskip2ex plus1fill% + % \insertpagenumber\,/\,\insertpresentationendpage %% Want FRAME, not SLIDE number + \insertframenumber/\inserttotalframenumber + \end{beamercolorbox}% +}% + +% This is a complete kludge for the faint white line which appears +% between the beamer color boxes above. (It doesnt appear in presentation mode +% but sometimes looks funny when the pdfs are viewed in a window) +\begin{tikzpicture}[overlay] + \usebeamercolor[bg]{author in head/foot} + \draw[thick] (0,3.625ex) -- (\paperwidth,3.625ex); + \draw (.4\paperwidth,0) -- (.4\paperwidth,3.625ex); + \draw[thick] (0,0) -- (\paperwidth,0); +\end{tikzpicture} + + + +\ifbeamer@Flip@bigpagenumber + \begin{tikzpicture}[overlay] + \usebeamercolor[bg]{author in head/foot} + \draw[fill] (\paperwidth-5ex,3.625ex) circle (6ex); + \usebeamercolor[fg]{author in head/foot} + \draw[fill] (\paperwidth-5ex,3.625ex) circle (5ex); + \usebeamercolor[bg]{author in head/foot} + \node at (\paperwidth-5ex,4ex) {\small$^\text{\insertframenumber}/_\text{\inserttotalframenumber}$}; + \end{tikzpicture} +\fi +} + + + +\defbeamertemplate*{frametitle}{Flip theme}[1][left] +{ +% \ifbeamercolorempty[bg]{frametitle}{}{\nointerlineskip}% +\@tempdima=\textwidth% +\advance\@tempdima by\beamer@leftmargin% +\advance\@tempdima by\beamer@rightmargin% + +\vbox{}\vskip-3.5ex% +% +\begin{beamercolorbox}[sep=0.3cm,#1,wd=\the\@tempdima]{titlelike} + \usebeamerfont{frametitle}% + \vbox{}\vskip-1ex% + \if@tempswa\else\csname beamer@fte#1\endcsname\fi% + % \strut{\bf\insertframetitle}\strut\par% %% Include the \bf + \strut{\insertframetitle}\strut\par% + {% + \ifx\insertframesubtitle\@empty% + \else + {\usebeamerfont{framesubtitle} + \usebeamercolor[fg]{framesubtitle} + \insertframesubtitle\strut\par}% + \fi + }% + % + \vskip-1ex% + \if@tempswa\else\vskip-.3cm\fi% set inside beamercolorbox... evil here... +\end{beamercolorbox}% +%% + +% \def\beamer@fteright{\vskip0.35cm\advance\leftskip by 1.7cm\advance\rightskip by1.7cm} +} + + + + +% Sidebar right is important: anything placed here will be +% visible *behind* the main text. This is where to put any +% interesting watermarks. +% +% +\defbeamertemplate*{sidebar right}{Flip theme} +{ +% \llap{\includegraphics[width=50px]{footdecoration}} +% \llap{\includegraphics[width=\paperwidth,height=\paperheight]{upperleft_watermark_transp}} +% +% THIS WOULD BE A NICE WAY TO PUT THE PARTICLE BUBBLE CHAMBER BG +% ... make a png of the background with TRANSPARENT BG +% ... then put the image here (use \hfill to get it on the left) +% Now one can FURTHER apply a slight gradient in the BG +% +% +% % Top Line +\ifx\beamer@Flip@topline\beamer@Flip@truetext + \begin{tikzpicture}[overlay] + \usebeamercolor[fg]{titlelike} % alternately, topbarlike would be a good beamercolor +% \usebeamercolor[fg]{topbarlike} % alternately, topbarlike would be a good beamercolor + \draw[fill] (-\paperwidth,0) rectangle (0,-3pt); + \end{tikzpicture} +\fi +% +% + \vskip.2\beamer@leftmargin% + %\llap{\insertlogo\hskip.5\beamer@leftmargin}% + \llap{\insertlogo\hskip.08\beamer@leftmargin}% + \vfill% + \if \beamer@Flip@watermark\@empty + % This is kind of a kludge since if I put anything in here, I automatically get errors + % Somehow LaTeX wants to read the \else part! + \else% + \llap{\includegraphics[width=\paperwidth,height=\paperheight]{\beamer@Flip@watermark}} + \fi +} + + + +\mode +\endinput + + diff --git a/Seminars/India_IMSC_2018/beamerouterthemedecolines.sty b/Seminars/India_IMSC_2018/beamerouterthemedecolines.sty new file mode 100755 index 0000000..669e493 --- /dev/null +++ b/Seminars/India_IMSC_2018/beamerouterthemedecolines.sty @@ -0,0 +1,168 @@ +% Copyright 2007 by Marco Barisione +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License and/or +% 2. under the GNU Public License. + +\mode + +% String used between the current page and the total page count. +\def\beamer@decolines@pageofpages{/} +\DeclareOptionBeamer{pageofpages}{\def\beamer@decolines@pageofpages{#1}} + +% Show a line below the frame title. +\DeclareOptionBeamer{titleline}[true]{\def\beamer@decolines@titleline{#1}} + +% Image used for the watermark. +\def\beamer@decolines@watermarkorig{} +\DeclareOptionBeamer{watermark}{\def\beamer@decolines@watermarkorig{#1}} + +% Height of the watermark. +\def\beamer@decolines@watermarkheight{100px} +\DeclareOptionBeamer{watermarkheight}{\def\beamer@decolines@watermarkheight{#1}} + +% The original image height is watermarkheightmult * watermarkheight. +\def\beamer@decolines@watermarkheightmult{1} +\DeclareOptionBeamer{watermarkheightmult}{\def\beamer@decolines@watermarkheightmult{#1}} + +\ExecuteOptionsBeamer{titleline=false} +\ProcessOptionsBeamer + +% Enable/disable the watermark. +\def\watermarkon{% + \def\beamer@decolines@watermark{\beamer@decolines@watermarkorig}% +} +\def\watermarkoff{\def\beamer@decolines@watermark{}} + +% Initially enable the watermark. +\watermarkon + +% Colors. +\setbeamercolor*{lineup}{parent=palette primary} +\setbeamercolor*{linemid}{parent=palette secondary} +\setbeamercolor*{linebottom}{parent=palette tertiary} +\setbeamercolor*{page header}{parent=titlelike} + +% Lengths +\newlength{\headerheight} +\setlength{\headerheight}{.045\paperheight} +\newlength{\beamer@decolines@lineup} +\setlength{\beamer@decolines@lineup}{.025\paperheight} +\newlength{\beamer@decolines@linemid} +\setlength{\beamer@decolines@linemid}{.015\paperheight} +\newlength{\beamer@decolines@linebottom} +\setlength{\beamer@decolines@linebottom}{.01\paperheight} + +% The height of the watermark part below the 3 bottom lines. +\newlength{\beamer@decolines@watermarkheightbottom} +\addtolength{\beamer@decolines@watermarkheightbottom}{\beamer@decolines@lineup} +\addtolength{\beamer@decolines@watermarkheightbottom}{\beamer@decolines@linemid} +\addtolength{\beamer@decolines@watermarkheightbottom}{\beamer@decolines@linebottom} + +% The height of the watermark part over the 3 bottom lines before shrinking. +\newlength{\beamer@decolines@watermarkheightupperorig} +\setlength{\beamer@decolines@watermarkheightupperorig}{\beamer@decolines@watermarkheight} +\addtolength{\beamer@decolines@watermarkheightupperorig}{-\beamer@decolines@watermarkheightbottom} +\multiply\beamer@decolines@watermarkheightupperorig by \beamer@decolines@watermarkheightmult + +% % Footer. +% \defbeamertemplate*{footline}{decolines theme} +% { +% \leavevmode% +% % Page number. +% \hbox{% +% \begin{beamercolorbox}[wd=.2\paperwidth,ht=0ex,dp=0ex,center]{}% +% \usebeamerfont{palette primary}\insertframenumber{} \beamer@decolines@pageofpages{} \inserttotalframenumber% +% \end{beamercolorbox}% +% \begin{beamercolorbox}[wd=.8\paperwidth,ht=0ex,dp=0ex]{}% +% \end{beamercolorbox}% +% } % +% % First line. +% \hbox{% +% \begin{beamercolorbox}[wd=.2\paperwidth,ht=\beamer@decolines@lineup,dp=0pt]{}% +% \end{beamercolorbox}% +% \begin{beamercolorbox}[wd=.8\paperwidth,ht=\beamer@decolines@lineup,dp=0pt]{lineup}% +% \end{beamercolorbox}% +% } % +% % Second line. +% \hbox{% +% \begin{beamercolorbox}[wd=\paperwidth,ht=\beamer@decolines@linemid,dp=0pt]{linemid}% +% \end{beamercolorbox}% +% } % +% % Third line. +% \hbox{% +% \begin{beamercolorbox}[wd=.1\paperwidth,ht=\beamer@decolines@linebottom,dp=0pt]{}% +% \end{beamercolorbox}% +% \begin{beamercolorbox}[wd=.9\paperwidth,ht=\beamer@decolines@linebottom,dp=0pt]{linebottom}% +% \end{beamercolorbox}% +% }% +% % This seems to fix some alignment problems with the watermark. It has to be +% % always applied if you do not want to see the footer moving up and down when +% % moving from a page with watermark to a page without or vice versa. +% \vskip-.5px% +% % Watermark. +% \if\beamer@decolines@watermark\@empty\else% +% \vskip-\beamer@decolines@watermarkheightbottom% +% \llap{\includegraphics[height=\beamer@decolines@watermarkheightbottom,clip=true,% +% trim=0pt 0pt 0pt \beamer@decolines@watermarkheightupperorig]{\beamer@decolines@watermark}\hskip-\paperwidth}% +% \fi% +% } + +\defbeamertemplate*{headline}{decolines theme} +{ + \leavevmode% + \hbox{% + \begin{beamercolorbox}[wd=\paperwidth,ht=\headerheight,dp=0pt]{page header}% + \end{beamercolorbox}% + } % + \vskip0pt% +} + +\defbeamertemplate*{frametitle}{decolines theme}[1][left] +{ + \ifbeamercolorempty[bg]{frametitle}{}{\nointerlineskip}% + \@tempdima=\textwidth% + \advance\@tempdima by\beamer@leftmargin% + \advance\@tempdima by\beamer@rightmargin% + \vbox{}\vskip-.5\beamer@leftmargin% + \begin{beamercolorbox}[sep=\beamer@leftmargin,#1,wd=\the\@tempdima]{} + \usebeamerfont{frametitle}\usebeamercolor[bg]{framesubtitle}% + \vbox{}\vskip0ex% + \if@tempswa\else\csname beamer@fte#1\endcsname\fi% + \strut\insertframetitle\strut\par% + {% + \ifx\insertframesubtitle\@empty% + \else% + {\usebeamerfont{framesubtitle}\usebeamercolor[bg]{framesubtitle}\insertframesubtitle\strut\par}% + \fi + }% + \vskip-1ex% + \if@tempswa\else\vskip-\beamer@leftmargin\fi + \end{beamercolorbox}% + \def\beamer@decolines@truetext{true}% + \ifx\beamer@decolines@titleline\beamer@decolines@truetext% + \vskip-.5\beamer@leftmargin% + \begin{beamercolorbox}[wd=\textwidth,ht=.1ex,dp=0ex]{linemid}% + \end{beamercolorbox}% + \fi +} + +% Frame title continuations, default +\defbeamertemplate*{frametitle continuation}{decolines theme}{(\insertcontinuationcount)} + + + +\defbeamertemplate*{sidebar right}{decolines theme} +{ + \vskip.1\beamer@leftmargin% + \llap{\insertlogo\hskip.5\beamer@leftmargin}% + \vfill% + \if\beamer@decolines@watermark\@empty\else% + \llap{\includegraphics[height=\beamer@decolines@watermarkheight]{\beamer@decolines@watermark}}% + \vskip-\beamer@decolines@watermarkheightbottom% + \fi +} + +\mode + diff --git a/Seminars/India_IMSC_2018/beamerthemeFlip.sty b/Seminars/India_IMSC_2018/beamerthemeFlip.sty new file mode 100755 index 0000000..a615ff5 --- /dev/null +++ b/Seminars/India_IMSC_2018/beamerthemeFlip.sty @@ -0,0 +1,59 @@ +% Main style file for the BEAMER FLIP THEME 2012 +% Copyright 2012 by Flip Tanedo +% This file may be distributed and/or modified +% 1. under the LaTeX Project Public License and/or +% 2. under the GNU Public License. +% +% Comments: This is still a work in progress. +% A good way to present: http://www.cs.hmc.edu/~oneill/freesoftware/pdftokeynote.html + +% \usepackage{beamerthemesplit} +\mode + + +%% These are the options that are fed in through the driver file +%% Some of them get passed on to the other theme files +\DeclareOptionBeamer{bullet}{\PassOptionsToPackage{bullet=#1}{beamerinnerthemeFlip}} +\DeclareOptionBeamer{bigpagenumber}{\PassOptionsToPackage{bigpagenumber}{beamerouterthemeFlip}} +\DeclareOptionBeamer{topline}[true]{\PassOptionsToPackage{topline=#1}{beamerouterthemeFlip}} +\DeclareOptionBeamer{shadow}[false]{\PassOptionsToPackage{shadow=#1}{beamerinnerthemeFlip}} + +\DeclareOptionBeamer{watermark}{\PassOptionsToPackage{watermark=#1}{beamerouterthemeFlip}} + +\ProcessOptionsBeamer + +\useinnertheme{Flip} % Calls beamerinnerthemeFlip.sty +\useoutertheme{Flip} % Calls beamerouterthemeFlip.sty +\usecolortheme{Flip} % Calls beamercolorthemeFlip.sty + + + +%%%%%%%%%%%%%%%%%%%%%%%% +% Background Gradient % +%%%%%%%%%%%%%%%%%%%%%%%% + + +%% Usually I would leave this on +%% However, there seems to be problems with XeLaTeX +%% http://tex.stackexchange.com/questions/29497/xelatex-preventing-beamer-from-using-different-backgrounds +\setbeamertemplate{background canvas}[vertical shading][bottom=blue!.1, middle=white, top=white] + +%% HOWEVER: it seems to make it impossible to change this later on in the document + + +%% For a dark background: +% \setbeamertemplate{background canvas}[vertical shading][bottom=keynotebottom, middle=keynotemiddle, top=keynotetop] + + +%% An alternate way: \beamertemplateshadingbackground{blue!.1}{red!2} +%% In general: you want the gradient to be subtle! + + +%%%%%%%%%%%%%%%%%%%%%%% +% Navigation symbols % +%%%%%%%%%%%%%%%%%%%%%%% + +\setbeamertemplate{navigation symbols}{} % Turns off PDF navigation symbols + +\mode +\endinput \ No newline at end of file diff --git a/Seminars/India_IMSC_2018/distracted_ilissa-ocko-cartoon.jpg b/Seminars/India_IMSC_2018/distracted_ilissa-ocko-cartoon.jpg new file mode 100644 index 0000000..5f007b0 --- /dev/null +++ b/Seminars/India_IMSC_2018/distracted_ilissa-ocko-cartoon.jpg Binary files differ diff --git a/Seminars/India_IMSC_2018/images/1.png b/Seminars/India_IMSC_2018/images/1.png new file 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b/Seminars/India_IMSC_2018/mchrzasz.synctex.gz new file mode 100644 index 0000000..9337952 --- /dev/null +++ b/Seminars/India_IMSC_2018/mchrzasz.synctex.gz Binary files differ diff --git a/Seminars/India_IMSC_2018/mchrzasz.tex b/Seminars/India_IMSC_2018/mchrzasz.tex new file mode 100644 index 0000000..b272fa8 --- /dev/null +++ b/Seminars/India_IMSC_2018/mchrzasz.tex @@ -0,0 +1,2421 @@ +\documentclass[11 pt,xcolor={dvipsnames,svgnames,x11names,table}]{beamer} + +\usepackage[english]{babel} +\usepackage{polski} + + +\usetheme[ + bullet=circle, % Other option: square + bigpagenumber, % circled page number on lower right + topline=true, % colored bar at the top of the frame + shadow=false, % Shading for beamer blocks + watermark=BG_lower, % png file for the watermark + ]{Flip} + +%\logo{\kern+1.em\includegraphics[height=1cm]{SHiP-3_LightCharcoal}} + + +\usepackage[lf]{berenis} +\usepackage[LY1]{fontenc} +\usepackage[utf8]{inputenc} + +%\usepackage{emerald} +\usefonttheme{professionalfonts} +\usepackage[no-math]{fontspec} +\defaultfontfeatures{Mapping=tex-text} % This seems to be important for mapping glyphs properly + +\setmainfont{Gillius ADF} % Beamer ignores "main font" in favor of sans font +\setsansfont{Gillius ADF} % This is the font that beamer will use by default +% \setmainfont{Gill Sans Light} % Prettier, but harder to read + +\setbeamerfont{title}{family=\fontspec{Gillius ADF}} + +\input t1augie.fd + +%\newcommand{\handwriting}{\fontspec{augie}} % From Emerald City, free font +%\newcommand{\handwriting}{\usefont{T1}{fau}{m}{n}} % From Emerald City, free font +% \newcommand{\handwriting}{} % If you prefer no special handwriting font or don't have augie + +%% Gill Sans doesn't look very nice when boldfaced +%% This is a hack to use Helvetica instead +%% Usage: \textbf{\forbold some stuff} +%\newcommand{\forbold}{\fontspec{Arial}} + +\usepackage{graphicx} +\usepackage[export]{adjustbox} + +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{amssymb} +\usepackage{bm} +\usepackage{colortbl} +\usepackage{mathrsfs} % For Weinberg-esque letters +\usepackage{cancel} % For "SUSY-breaking" symbol +\usepackage{slashed} % for slashed characters in math mode +\usepackage{bbm} % for \mathbbm{1} (unit matrix) +\usepackage{amsthm} % For theorem environment +\usepackage{multirow} % For multi row cells in table +\usepackage{arydshln} % For dashed lines in arrays and tables +\usepackage{siunitx} +\usepackage{xhfill} +\usepackage{grffile} +\usepackage{textpos} +\usepackage{subfigure} +\usepackage{tikz} + +%\usepackage{hepparticles} +\usepackage[italic]{hepparticles} + +\usepackage{hepnicenames} + +% Drawing a line +\tikzstyle{lw} = [line width=20pt] +\newcommand{\topline}{% + \tikz[remember picture,overlay] {% + \draw[crimsonred] ([yshift=-23.5pt]current page.north west) + -- ([yshift=-23.5pt,xshift=\paperwidth]current page.north west);}} + + + +% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % +\usepackage{tikzfeynman} % For Feynman diagrams +\usetikzlibrary{arrows,shapes} +\usetikzlibrary{trees} +\usetikzlibrary{matrix,arrows} % For commutative diagram +% http://www.felixl.de/commu.pdf +\usetikzlibrary{positioning} % For "above of=" commands +\usetikzlibrary{calc,through} % For coordinates +\usetikzlibrary{decorations.pathreplacing} % For curly braces +% http://www.math.ucla.edu/~getreuer/tikz.html +\usepackage{pgffor} % For repeating patterns + +\usetikzlibrary{decorations.pathmorphing} % For Feynman Diagrams +\usetikzlibrary{decorations.markings} +\tikzset{ + % >=stealth', %% Uncomment for more conventional arrows + vector/.style={decorate, decoration={snake}, draw}, + provector/.style={decorate, decoration={snake,amplitude=2.5pt}, draw}, + antivector/.style={decorate, decoration={snake,amplitude=-2.5pt}, draw}, + fermion/.style={draw=gray, postaction={decorate}, + decoration={markings,mark=at position .55 with {\arrow[draw=gray]{>}}}}, + fermionbar/.style={draw=gray, postaction={decorate}, + decoration={markings,mark=at position .55 with {\arrow[draw=gray]{<}}}}, + fermionnoarrow/.style={draw=gray}, + gluon/.style={decorate, draw=black, + decoration={coil,amplitude=4pt, segment length=5pt}}, + scalar/.style={dashed,draw=black, postaction={decorate}, + decoration={markings,mark=at position .55 with {\arrow[draw=black]{>}}}}, + scalarbar/.style={dashed,draw=black, postaction={decorate}, + decoration={markings,mark=at position .55 with {\arrow[draw=black]{<}}}}, + scalarnoarrow/.style={dashed,draw=black}, + electron/.style={draw=black, postaction={decorate}, + decoration={markings,mark=at position .55 with {\arrow[draw=black]{>}}}}, + bigvector/.style={decorate, decoration={snake,amplitude=4pt}, draw}, +} + +% TIKZ - for block diagrams, +% from http://www.texample.net/tikz/examples/control-system-principles/ +% \usetikzlibrary{shapes,arrows} +\tikzstyle{block} = [draw, rectangle, +minimum height=3em, minimum width=6em] + + + + +\usetikzlibrary{backgrounds} +\usetikzlibrary{mindmap,trees} % For mind map +\newcommand{\degree}{\ensuremath{^\circ}} +\newcommand{\E}{\mathrm{E}} +\newcommand{\Var}{\mathrm{Var}} +\newcommand{\Cov}{\mathrm{Cov}} +\newcommand\Ts{\rule{0pt}{2.6ex}} % Top strut +\newcommand\Bs{\rule[-1.2ex]{0pt}{0pt}} % Bottom strut + +\graphicspath{{images/}} % Put all images in this directory. Avoids clutter. + +% SOME COMMANDS THAT I FIND HANDY +% \renewcommand{\tilde}{\widetilde} % dinky tildes look silly, dosn't work with fontspec +\newcommand{\comment}[1]{\textcolor{comment}{\footnotesize{#1}\normalsize}} % comment mild +\newcommand{\Comment}[1]{\textcolor{Comment}{\footnotesize{#1}\normalsize}} % comment bold +\newcommand{\COMMENT}[1]{\textcolor{COMMENT}{\footnotesize{#1}\normalsize}} % comment crazy bold +\newcommand{\Alert}[1]{\textcolor{Alert}{#1}} % louder alert +\newcommand{\ALERT}[1]{\textcolor{ALERT}{#1}} % loudest alert +%% "\alert" is already a beamer pre-defined +\newcommand*{\Scale}[2][4]{\scalebox{#1}{$#2$}}% + +\def\Put(#1,#2)#3{\leavevmode\makebox(0,0){\put(#1,#2){#3}}} + +\usepackage{gmp} +\usepackage[final]{feynmp-auto} + +\usepackage[backend=bibtex,style=numeric-comp,firstinits=true]{biblatex} +\bibliography{bib} +\setbeamertemplate{bibliography item}[text] + +\makeatletter\let\frametextheight\beamer@frametextheight\makeatother + +% suppress frame numbering for backup slides +% you always need the appendix for this! +\newcommand{\backupbegin}{ + \newcounter{framenumberappendix} + \setcounter{framenumberappendix}{\value{framenumber}} +} +\newcommand{\backupend}{ + \addtocounter{framenumberappendix}{-\value{framenumber}} + \addtocounter{framenumber}{\value{framenumberappendix}} +} + + +\definecolor{links}{HTML}{2A1B81} +%\hypersetup{colorlinks,linkcolor=,urlcolor=links} + +% For shapo's formulas: +\def\lsi{\raise0.3ex\hbox{$<$\kern-0.75em\raise-1.1ex\hbox{$\sim$}}} +\def\gsi{\raise0.3ex\hbox{$>$\kern-0.75em\raise-1.1ex\hbox{$\sim$}}} +\newcommand{\lsim}{\mathop{\lsi}} +\newcommand{\gsim}{\mathop{\gsi}} +\newcommand{\wt}{\widetilde} +%\newcommand{\ol}{\overline} +\newcommand{\Tr}{\rm{Tr}} +\newcommand{\tr}{\rm{tr}} +\newcommand{\eqn}[1]{&\hspace{-0.7em}#1\hspace{-0.7em}&} +\newcommand{\vev}[1]{\rm{$\langle #1 \rangle$}} +\newcommand{\abs}[1]{\rm{$\left| #1 \right|$}} +\newcommand{\eV}{\rm{eV}} +\newcommand{\keV}{\rm{keV}} +\newcommand{\GeV}{\rm{GeV}} +\newcommand{\MeV}{\rm{MeV}} +\newcommand{\im}{\rm{Im}} +\newcommand{\re}{{\rm Re}} +\newcommand{\invfb}{\rm{fb^{-1}}} +\newcommand{\fixme}{\rm{{\color{red}{FIXME!}}}} +\newcommand{\thetal}{\theta_l} +\newcommand{\thetak}{\theta_k} +\newcommand{\nn}{\nonumber} +\newcommand{\eq}[1]{\begin{equation} #1 \end{equation}} +%\newcommand{\eqn}[1]{\begin{displaymath} #1 \end{displaymath}} +\newcommand{\eqa}[1]{\begin{eqnarray} #1 \end{eqnarray}} +\newcommand{\apeL}{{A_\perp^L}} +\newcommand{\apeR}{{A_\perp^R}} +\newcommand{\ape}{{A_\perp}} +\newcommand{\apeLR}{{A_\perp^{L,R}}} +\newcommand{\apaL}{{A_\|^L}} +\newcommand{\apaR}{{A_\|^R}} +\newcommand{\apa}{{A_\|}} +\newcommand{\apaLR}{{A_\|^{L,R}}} +\newcommand{\azeL}{{A_0^L}} +\newcommand{\azeR}{{A_0^R}} +\newcommand{\aze}{{A_0}} + +\newcommand{\azeLR}{{A_0^{L,R}}} +\newcommand{\Real}{\ensuremath{\mathcal{R}e}\xspace} +\newcommand{\Imag}{\ensuremath{\mathcal{I}m}\xspace} + +\renewcommand{\C}[1]{{\cal C}_{#1}} +\newcommand{\Ceff}[1]{{\cal C}^{\rm eff}_{#1}} +\newcommand{\Cpeff}[1]{{\cal C}^{\rm eff\prime}_{#1}} +\newcommand{\Cp}[1]{{\cal C}^{\prime}_{#1}} +\def\FL {\ensuremath{F_{\mathrm{L}}}\xspace} +\def\ATDPH {\ensuremath{A_{\mathrm{T,PR}}^{(2)}}\xspace} +\def\ATImPH {\ensuremath{A_{\mathrm{T,PR}}^{\mathrm{Im}}}\xspace} +\def\ATRePH {\ensuremath{A_{\mathrm{T,PR}}^{\mathrm{Re}}}\xspace} +\def\FLPH {\ensuremath{F_{\mathrm{L,PR}}}\xspace} +\def\ATDKG {\ensuremath{A_{\mathrm{T,\Kstarz \gamma}}^{(2)}}\xspace} +\def\ATImKG {\ensuremath{A_{\mathrm{T,\Kstarz \gamma}}^{\mathrm{Im}}}\xspace} +\def\ATReKG {\ensuremath{A_{\mathrm{T,\Kstarz \gamma}}^{\mathrm{Re}}}\xspace} +\def\FLKG {\ensuremath{F_{\mathrm{L,\Kstarz \gamma}}}\xspace} +\def\ATD {\ensuremath{A_{\mathrm{T}}^{(2)}}\xspace} +\def\ATIm {\ensuremath{A_{\mathrm{T}}^{\mathrm{Im}}}\xspace} +\def\ATRe {\ensuremath{A_{\mathrm{T}}^{\mathrm{Re}}}\xspace} +\def\ARROW{{\color{JungleGreen}{$\Rrightarrow$}}\xspace} + + + +\def\ARROWR{{\color{WildStrawberry}{$\Rrightarrow$}}\xspace} + + + +\newcommand{\disp}{\displaystyle} +\def\be{\begin{equation}} +\def\ee{\end{equation}} +\def\ba{\begin{eqnarray}} +\def\ea{\end{eqnarray}} +\def\d{\partial} +\def\l{\left(} +\def\r{\right)} +\def\la{\langle} +\def\ra{\rangle} +\def\e{{\rm e}} +\def\Br{{\mathcal{B}}} + +\newcommand{\av}[1]{\langle #1 \rangle} +% particles +\def\LstFTTT {\ensuremath{\PLambda^{*}(1520)^{0}}\xspace} +\def\dll {\ensuremath{\mathrm{DLL}}\xspace} + \def\Lb {\ensuremath{\PLambda_b}} + + +% useful decays +\def\BdToKpimm {\decay{\Bd}{\Kp\pim\mumu}} +\def\BuToKmm {\decay{\Bu}{\Kp\mumu}} +\def\BsToJPsiKst {\decay{\Bs}{\jpsi\Kstarz}} +\def\BdTopsitwosKst {\decay{\Bd}{\psitwos\Kstarz}} +\def\LstFTTTT {\decay{\LstFTTT}{p\Km}} +%\def\LbToLstmm {\decay{\Lb}{\PLambda^{*}(1520)^{0} \mumu}} +\def\LbTopKmm {\decay{\Lb}{p\Km\mumu}} +\def\BuToKmm {\decay{\Bu}{\Kp\mumu}} +\def\BsTophimm {\decay{\Bs}{\Pphi\mumu}} + +% interesting variables +\def\mkpi {\ensuremath{m_{K\pi}}\xspace} +\def\mkpimm{\ensuremath{m_{K\pi\mu\mu}}\xspace} + +%% peaking background mass hypotheses +\def\mkmm {\ensuremath{m_{K\mu\mu}}\xspace} +\def\mSwappKmm {\ensuremath{m_{(\pi\to p)K\mu\mu}}\xspace} +\def\mSwappiK {\ensuremath{m_{(\pi\to K)K}}\xspace} +\def\mSwappiKmm {\ensuremath{m_{(\pi\to K)K\mu\mu}}\xspace} +\def\mSwappK {\ensuremath{m_{(\pi\to p)K}}\xspace} +\def\mDoubleSwappKmm {\ensuremath{m_{(K\to p)(\pi\to K)\mu\mu}}\xspace} +\def\mDoubleSwappK {\ensuremath{m_{(K\to p)(\pi\to K)}}\xspace} +\def\mSwapKst {\ensuremath{m_{K\leftrightarrow\pi}}\xspace} + +%% some other decays +\def\BsToPhimm {\decay{\Bs}{\phi\mumu}} +\def\BsToPhimmFULL {\decay{\Bs}{\phi(\to\!K^{+}K^{-})\mumu}} +\def\BsToKKmm {\decay{\Bs}{\Kp\Km\mumu}} + +\newcommand{\delC}[1]{\delta {\cal C}_{#1}} +\newcommand{\dC}[1]{{\cal C}_{#1}^{\rm NP}} +\newcommand{\dCp}[1]{{\cal C}_{#1^\prime}^{\rm NP}} + + + + +\definecolor{green}{rgb}{0.2,0.6,0.2} +\definecolor{lightgreen}{rgb}{0.4,1,0.4} +\definecolor{verylightgreen}{rgb}{0.7,1,0.7} +\def\cgreen{\color{green}} +\definecolor{brown}{rgb}{0.4,0.2,0.0} +\def\cbrown{\color{brown}} +\def\cred{\color{red}} +\definecolor{darkblue}{rgb}{0.0,0.0,1.0} +\def\cdarkblue{\color{darkblue}} +\definecolor{darkgrey}{rgb}{0.4,0.4,0.4} +\definecolor{lightgrey}{rgb}{0.7,0.7,0.7} +\definecolor{verylightblue}{rgb}{0.8,0.8,1.0} +\definecolor{lightblue}{rgb}{0.6,0.6,1.0} +\definecolor{verylightyellow}{rgb}{1.0,1.0,0.5} +\definecolor{lightyellow}{rgb}{1.0,0.7,0.3} +\definecolor{darkred}{rgb}{0.6,0.0,0.0} + +\definecolor{green}{rgb}{0.3,0.6,0.2} +\definecolor{green}{rgb}{0.3,0.7,0.4} + + + +\definecolor{indigo}{RGB}{100,0,100} +\definecolor{dgray}{RGB}{80,80,80} +\definecolor{lgray}{RGB}{220,220,220} +\definecolor{dred}{RGB}{190,0,0} +\definecolor{dgreen}{RGB}{0,110,0} +\definecolor{lyellow}{RGB}{245,245,210} +\definecolor{bblue}{RGB}{93,93,255} +\definecolor{bbrown}{RGB}{150,85,52} +\definecolor{llgray}{RGB}{230,230,230} + + + +\newcommand{\F}{\mathcal{F}} +\newcommand{\A}{\mathcal{A}} +\newcommand{\N}{\mathcal{N}} +\renewcommand{\H}{\mathcal{H}} +\newcommand{\Leff}{\mathcal{L}_{\rm eff}} +\newcommand{\heff}{\mathcal{H}_{\rm eff}} +\newcommand{\Lag}{\mathcal{L}} +\newcommand{\red}{\color{red}} +\newcommand{\blue}{\color{blue}} +\newcommand{\indigo}{\color{indigo}} +\newcommand{\brown}{\color{bbrown}} +\newcommand{\bs}{\mathbf} +\newcommand{\sss}{\scriptscriptstyle} +\newcommand{\btr}{{ $\blacktriangleright\ $}} + + +\author{ {\fontspec{Trebuchet MS}Marcin Chrz\k{a}szcz} (CERN, IFJ PAN)} +\institute{UZH} +\title[Anomalies in Physics]{Anomalies in Physics} +\date{25 September 2014} + + +\begin{document} +\tikzstyle{every picture}+=[remember picture] +{ +\setbeamertemplate{sidebar right}{\llap{\includegraphics[width=\paperwidth,height=\paperheight]{bubble2}}} +\begin{frame}[c]%{\phantom{title page}} +\begin{center} +\begin{center} + \begin{columns} + \begin{column}{0.9\textwidth} + \flushright\fontspec{Trebuchet MS}\bfseries \Huge {Anomalies in Physics or Physics of anomalies?} + \end{column} + \begin{column}{0.2\textwidth} + %\includegraphics[width=\textwidth]{SHiP-2} + \end{column} + \end{columns} +\end{center} + \quad + \vspace{3em} +\begin{columns} +\begin{column}{0.44\textwidth} +\flushright \vspace{-1.8em} {\fontspec{Trebuchet MS} \Large Marcin Chrząszcz\\\vspace{-0.1em}\small \href{mailto:mchrzasz@cern.ch}{mchrzasz@cern.ch}} + +\end{column} +\begin{column}{0.53\textwidth} +\includegraphics[height=1.3cm]{cern}{~}{~} +\includegraphics[height=1.1cm]{ifj.png} +\end{column} +\end{columns} + +\vspace{1em} +% \footnotesize\textcolor{gray}{With N. Serra, B. Storaci\\Thanks to the theory support from M. Shaposhnikov, D. Gorbunov}\normalsize\\ +\vspace{0.5em} + \textcolor{normal text.fg!50!Comment}{IMSc seminar \\July 24, 2018} +\end{center} +\end{frame} +} + + +\begin{frame}{Outline} + + \begin{minipage}{\textwidth} +{~}\\ + +\begin{enumerate} +\item Why flavour is important. +\item The flavour anomalies: +\begin{itemize} +\item $R(\PDstar)$ +\item $R_K$ and $R_{\PKstar}$ +\item $P_5^{\prime}$ +\end{itemize} +\item Global fits results. +\item Conclusions. +\end{enumerate} + + + \end{minipage} + \vspace*{2.cm} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Why flavour physics +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +\begin{center} +\begin{Huge} +Why Flavour is important? +\end{Huge} +\end{center} + + + + +\end{frame} + + + +\begin{frame}{A lesson from history - GIM mechanism} + \begin{minipage}{\textwidth} + +\begin{center} +\includegraphics[width=0.62\textwidth]{images/GIM2.png} +\end{center} +\begin{columns} +\column{0.7\textwidth} +\begin{itemize} +\begin{footnotesize} + + +\item Cabibbo angle was successful in explaining dozens of decay rates in the 1960s. +\item There was, however, one that was not observed by experiments: $\PKzero \to \Pmuon \APmuon$. +\item Glashow, Iliopoulos, Maiani (GIM) mechanism was proposed in the 1970 to fix this problem. The mechanism required the existence of a $4^{th}$ quark. +\item At that point most of the people were skeptical about that. Fortunately in 1974 the discovery of the $\PJpsi$ meson silenced the skeptics. +\end{footnotesize} +\end{itemize} +\column{0.3\textwidth} +\begin{center} +\includegraphics[width=0.95\textwidth]{images/GIM3.png}\\ +\includegraphics[width=0.7\textwidth]{images/604.jpg}\\{~}\\{~} +\end{center} +\end{columns} + + + +\end{minipage} + + \vspace*{2.1cm} +\end{frame} + +\begin{frame}{A lesson from history - CKM matrix} + \begin{minipage}{\textwidth} + +\begin{center} +{~}\\{~}\\ +\includegraphics[width=0.5\textwidth]{images/CKMmatrix.png} + +\end{center} +\begin{columns} +\column{0.6\textwidth} +\begin{itemize} +\begin{small} + + + + +\item Similarly, CP violation was discovered in 1960s in the neutral kaons decays. +\item $2 \times 2$ Cabbibo matrix could not allow for any CP violation. +\item For CP violation to be possible one needs at least a $3 \times 3$ unitary matrix \\ $\looparrowright$ Cabibbo-Kobayashi-Maskawa matrix (1973). +\item It predicts existence of $\Pbottom$ (1977) and $\Ptop$ (1995) quarks. +\end{small} + +\end{itemize} +\column{0.4\textwidth} +\begin{center} +{~} +%\includegraphics[height=2cm]{images/CP.png}\\ +\includegraphics[width=0.96\textwidth]{bottom.jpg} + +\end{center} +\end{columns} + + + +\end{minipage} + + \vspace*{2.1cm} +\end{frame} + + +\begin{frame}{A lesson from history - Weak neutral current} + \begin{minipage}{\textwidth} + +\begin{center} +\includegraphics[height=3cm]{images/weakcurr.png}{~} +\includegraphics[height=3cm]{images/weakcurr2.png} +\end{center} + +\begin{columns} +\column{0.6\textwidth} +\begin{itemize} +\begin{small} + + +\item Weak neutral currents were first introduced in 1958 by Buldman. +\item Later on they were naturally incorporated into unification of weak and electromagnetic interactions. +\item 't Hooft proved that the GWS models was renormalizable. +\item Everything was there on theory side, only missing piece was the experiment, till 1973. +\end{small} + +\end{itemize} +\column{0.4\textwidth} +\begin{center} +{~} +%\includegraphics[height=2cm]{images/CP.png}\\ +\includegraphics[width=0.85\textwidth]{images/bubblecern.png} +\end{center} +\end{columns} + + + +\end{minipage} + + \vspace*{2.1cm} +\end{frame} + + + + +\iffalse + + + +\begin{frame} +\begin{center} +\begin{Huge} +LHCb detector +\end{Huge} +\end{center} + + + + +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% DETECTOR +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +\only<1>{\frametitle{LHCb detector - tracking} +\begin{columns} +\column{3in} +\includegraphics[width=0.9\textwidth]{images/1050px-Lhcbview.jpg} + +\column{2in} +\includegraphics[width=0.95\textwidth]{images/sketch.png} +\end{columns} +\begin{itemize} +\item Excellent Impact Parameter (IP) resolution ($20~\rm \mu m$).\\ +$\Rightarrow$ Identify secondary vertices from heavy flavour decays +\item Proper time resolution $\sim~40~\rm fs$.\\ +$\Rightarrow$ Good separation of primary and secondary vertices. +\item Excellent momentum ($\delta p/p \sim 0.4 - 0.6\%$) and inv. mass resolution.\\ +$\Rightarrow$ Low combinatorial background. + +\end{itemize} + + +} + +\only<2>{\frametitle{LHCb detector - particle identification} +\begin{columns} +\column{3in} +\includegraphics[width=0.9\textwidth]{images/1050px-Lhcbview.jpg} + +\column{2in} +\includegraphics[width=0.95\textwidth]{images/cher.png} +\end{columns} +\begin{itemize} +\item Excellent Muon identification $\epsilon_{\mu \to \mu} \sim 97\%$, $\epsilon_{\pi \to \mu} \sim 1-3\%$ +\item Good $\PK-\Ppi$ separation via RICH detectors, $\epsilon_{\PK \to \PK} \sim 95\%$, $\epsilon_{\Ppi \to \PK} \sim 5\%$.\\ +$\Rightarrow$ Reject peaking backgrounds. +\item High trigger efficiencies, low momentum thresholds. +Muons: $p_T > 1.76 \GeV$ at L0, $p_T > 1.0 \GeV$ at HLT1,\\ +$B \to \PJpsi X $: Trigger $\sim 90\%$. + +\end{itemize} + + +} + + +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Modern challenges: loops come in to the game} + \begin{minipage}{\textwidth} +\begin{columns} + +\column{0.5\textwidth} +\begin{itemize} +\item Standard Model contributions suppressed or absent: +\begin{itemize} +\item Flavour Changing Neutral Currents. +\item CP violation +\item Lepton Flavour/Number or Lepton Universality violation. +\end{itemize} +\item In general can probe physics beyond General Purpose Detectors reach. +\end{itemize} +\column{0.5\textwidth} +\includegraphics[width=0.99\textwidth]{{images/TauLFV_UL_2014001_averaged}.png} + + +\end{columns} +\begin{center} +\includegraphics[width=0.75\textwidth]{images/Bsmumu.png} +\includegraphics[width=0.20\textwidth]{{images/bsmumu_SM}.png} +\end{center} +\end{minipage} + + \vspace*{2.1cm} +\end{frame} +\fi + + + + + +\begin{frame}\frametitle{Modern Flavour Physics} +\begin{center} +\only<1>{ +\includegraphics[width=1.05\textwidth]{1.png} +} +\only<2>{ +\includegraphics[width=1.05\textwidth]{2.png} + +} +\end{center} + + + + +\end{frame} + + +\begin{frame}\frametitle{Why semi-leptonic decays?} +\begin{large} +\ARROW A decay is semi-leptonic if its products are part leptons +and part hadrons. +\end{large} + +\begin{center} +\includegraphics[width=0.99\textwidth]{3.png} +\end{center} + +\begin{large} +\ARROW These decays can be factorised into the weak and +strong parts, greatly simplifying theoretical calculations. +\end{large} + + +\end{frame} + + + +\begin{frame}\frametitle{Types of semi-leptonic decays} + +\begin{center} +\includegraphics[width=1.05\textwidth]{4.png} +\end{center} + + +\end{frame} + + +\begin{frame}\frametitle{Anomalies} +\only<1>{ +\begin{center} +\includegraphics[width=1.05\textwidth]{6.png} +\end{center} +} +\only<2>{ +\ARROW Today I will talk about three anomalies in $\PB$ +decays: +\begin{itemize} +\item $R(\PDstar)$ +\item $R_{\PK/\PKstar}$ +\item $P^{\prime}_5$ +\end{itemize} + +} + +\end{frame} + + + +\begin{frame} + +\begin{center} + +\begin{Huge} +Anomaly 1\\ +\begin{align*} +R(\PDstar) = \frac{\Br (\PB \to \PDstar \tau \nu )}{\Br(\PB \to \PDstar \mu \nu)} +\end{align*} +\end{Huge} + + +\end{center} + + +\end{frame} + +\begin{frame}\frametitle{$R(\PDstar) $} + +\begin{large} + +\ARROW Large rate of charged current decays allow for measurement +in semi-tauonic decays +\end{large} + +\begin{columns} +\column{0.5\textwidth} +\begin{align*} +R(\PDstar) = \frac{\Br (\PB \to \PDstar \tau \nu )}{\Br(\PB \to \PDstar \mu \nu)} +\end{align*} +\column{0.5\textwidth} +\begin{large} +\ARROW Form ratio of decays with different lepton generations.\\ +\ARROW Cancel QCD uncertainties. +\end{large} + +\end{columns} +~\\ +\begin{large} + +\ARROW $R(\PDstar)$ is sensitive to the NP with strong 3rd generation couplings. +\end{large} + +\includegraphics[width=0.8\textwidth]{images/7.png} + + +\end{frame} + +\begin{frame}\frametitle{The Rule of three} + +\begin{center} + +\includegraphics[width=1.\textwidth]{images/8.png} + +\end{center} + + +\end{frame} + + +\begin{frame}\frametitle{Experimental challenges} +\begin{large} +\ARROW With the $\tau \to \mu \nu \nu$ decay we are missing 3 neutrinos!\\ +\ARROW No sharp peak in any distributions.\\ +\end{large} +{~}\\ +\begin{columns} +\column{0.5\textwidth} +\begin{large} +\ARROW At B-factories, can control this +using tagging technique.\\ +\end{large} + + +\includegraphics[width=0.9\textwidth]{9.png} + +\column{0.5\textwidth} + + +\includegraphics[width=0.9\textwidth]{10.png}\\ +\begin{large} +\ARROW More difficult at LHCb, compensate +using large boost (flight information) +and huge B production\\ +\end{large} +\end{columns} + +\end{frame} + +\begin{frame}\frametitle{Signal fits} +\ARROW Three main backgrounds: +\begin{itemize} +\item $\PB \to \PDstar \ell \nu$. +\item $\PB \to \PD^{\ast \ast} \ell \nu$. +\item $\PB \to \PD \PDstar X$ +\end{itemize} +\begin{center} +\includegraphics[width=0.9\textwidth]{12.png} +\end{center} +\ARROW Fit variables which discriminate between the signal and background modes. + +\end{frame} + +\begin{frame}\frametitle{Results} +\ARROW All experiments see an access w.r.t. to SM prediction: +\begin{center} +\includegraphics[angle=-90,width=0.6\textwidth]{rdrds_summer18.pdf} +\end{center} +\ARROW Theoretical uncertainties negligible.\\ +\ARROW The ball is on the experimental side. + +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + + + +\begin{frame}\frametitle{Introduction to anomaly 2 \& 3} + +\begin{columns} +\column{4in} +\begin{itemize} +\item The SM allows only the charged interactions to change flavour. +\begin{itemize} +\item Other interactions are flavour conserving. +\end{itemize} +\item One can escape this constraint and produce $\Pbottom \to \Pstrange$ and $\Pbottom \to \Pdown$ at loop level. +\begin{itemize} +\item These kind of processes are suppressed in SM $\to$~Rare decays. +\item New Physics can enter in the loops. +\end{itemize} +\end{itemize} +\begin{center} +\includegraphics[scale=0.3]{lupa.png} +\includegraphics[scale=0.3]{example.png} +\end{center} +\column{1.5in} +\includegraphics[width=0.61\textwidth]{couplings.png} +\end{columns} + +\end{frame} + + +\begin{frame}{Analysis of Rare decays} +\begin{footnotesize} + +%{\Large Since a long time ago...} \\ \medskip +%\hspace*{1.4cm}$\Rightarrow$ $b \to s \gamma$ and $b \to s \ell\ell $ {\bf Flavour Changing Neutral Currents} have been used as {\bf \cred Our Portal} \\ to explore the fundamental theory beyond SM. \\ +%\medskip +%\medskip +%\hfill....... with not much success till 2013.\hspace*{1cm} +%\bigskip + +Analysis of FCNC in a model-independent approach, effective Hamiltonian: +\vspace*{-0.1cm} +\begin{columns} +\begin{column}{1cm} +~ +\end{column} +\begin{column}{8cm} +\begin{equation*} +b\to s\gamma(^*): {\mathcal H}^{SM}_{\Delta F=1} \propto + \sum_{i=1}^{10} V_{ts}^* V_{tb} {\cgreen \C{i}} \alert{ {\cal O}_i} + \ldots +\end{equation*} + +\vspace{-0.2cm} + +\begin{itemize} +\item $\alert{ {\cal O}_7} = \frac{e}{16 \pi^2}m_b\, + (\bar s\sigma^{\mu\nu} P_R b) F_{\mu\nu}\,$ %\quad [real or soft photon] +\item $\alert{ {\cal O}_9}=\frac{e^2}{16 \pi^2}(\bar{s}\gamma_\mu P_L b)\ (\bar\ell\gamma_\mu\ell)$ + %\quad [$b\to s\mu\mu$ via $Z$/hard $\gamma$] +\item $\alert{ {\cal O}_{10}}=\frac{e^2}{16 \pi^2}(\bar{s}\gamma_\mu P_L b) \ (\bar\ell\gamma_\mu\gamma_5\ell)$, ... +%\quad [$b\to s\mu\mu$ via $Z$] +\end{itemize} +\end{column} +\begin{column}{5.5cm} +\includegraphics[width=3.5cm]{images/qum1.png} +%\includegraphics[width=3cm]{bsll.pdf} +\end{column} +\end{columns} + +%\hspace*{5cm} with no clear success yet... +%\bigskip + + +%\centerline{{\bf Goal}: \underline{Decode the short distance physics to find a smoking gun of BSM}\hspace*{2cm}} + + +\bigskip +\hspace*{0.0cm} $\bullet$ {\bf SM} Wilson coefficients up to NNLO + e.m. corrections at $\mu_{ref}=4.8$ GeV [{\cgreen Misiak et al.}]: $${\cal C}_7^{\rm SM}=-0.29,\, {\cal C}_9^{\rm SM}=4.1,\, {\cal C}_{10}^{\rm SM}=-4.3$$ +%BUT, like in the film there is always the good, the bad and the ugly. +\bigskip +$\bullet$ {\bf NP} changes short distance ${\cal C}_i-{\cal C}_i^{\rm SM}={\cal C}_i^{\rm NP}$ and induce new operators, like ${\cal O}^\prime_{7,9,10}={\cal O}_{7,9,10}\,\, (P_L \leftrightarrow P_R)$ ... also scalars, pseudoescalar, tensor operators...%\bigskip + + +\end{footnotesize} + +\end{frame} + + +\begin{frame} + +\begin{center} + +\begin{Huge} +Anomaly 2\\ +\begin{align*} +R_{\PK/\PKstar} = \frac{\Br(\PB \to \PK/\PKstar \mu \mu)}{\Br(\PB \to \PK/\PKstar e e)} +\end{align*} +\end{Huge} + + +\end{center} + + +\end{frame} + + + +\begin{frame}\frametitle{Measurement at LHCb} + +\ARROW Most precise measurements performed at LHCb.\\ +\ARROW Main challenge is due to electron Bremsstrahlung.\\ +\begin{center} +\includegraphics[width=0.99\textwidth]{13.png} +\end{center} +\ARROW To protect ourself from electron reconstruction issue we use double ratio: +\begin{align*} +R_K = \frac{ \Br(\PB \to \PK \mu \mu ) \times \Br(\PB \to \PK \PJpsi(\to e e)) }{ \Br(\PB \to \PK e e ) \times \Br(\PB \to \PK \PJpsi(\to \mu \mu)) } +\end{align*} + + +\end{frame} + + +\begin{frame}\frametitle{Result} + +\begin{center} +\begin{large} +\begin{align*} +R_K = 0.745^{+0.090}_{-0.074} ({\rm stat.}) \pm 0.036 ({\rm syst}) +\end{align*} +\end{large} + +\includegraphics[width=0.7\textwidth]{images/RK.png}\\ + +\end{center} +\ARROW $2.6~\sigma$ away from SM prediction. +\end{frame} + +\begin{frame}\frametitle{The continuation - $R_{\PKstar}$} +\ARROW The neutral continuation of the $R_K$ measurement is to measure its partner: +\begin{center} +\begin{align*} +R_{\PKstar} = \frac{\Br(\PB \to \PKstar \mu \mu)}{\Br(\PB \to \PKstar e e)} +\end{align*} +\end{center} + + +\begin{columns} +\column{0.4\textwidth} +\ARROW Measurement performed in two $q^2$ bins. \\ +\ARROW Normalized in double ratio to $\PB \to \PKstar \PJpsi$.\\ +\includegraphics[width=0.95\textwidth]{images/plot.png} + + +\column{0.6\textwidth} +\begin{center} +\includegraphics[width=0.95\textwidth]{Fig10a.pdf} +\end{center} + +\end{columns} + + + +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Branching fraction measurements of $\PB \to \PKstar^{\pm} \Pmu \Pmu$} +{~} +\includegraphics[width=0.5\textwidth]{images/ksmumu_BF.png} +\includegraphics[width=0.5\textwidth]{images/kmumu_BF.png} + +\begin{center} +\begin{columns} + +\column{0.4\textwidth} +\begin{itemize} +\item Despite large theoretical errors the results are consistently smaller than SM prediction. +\end{itemize} +\column{0.6\textwidth} +\includegraphics[width=0.87\textwidth]{images/bukst_BF.png} + + +\end{columns} + + + + + + + +\end{center} + \vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Branching fraction measurements of $\PBs \to \Pphi \Pmu \Pmu$} +{~} + \begin{minipage}{\textwidth} + \begin{center} + \includegraphics[width=0.65\textwidth]{images/bs2phipi.png}\\ + \end{center} + +\begin{itemize} +\item Recent LHCb measurement [JHEPP09 (2015) 179]. +\item Suppressed by $\frac{f_s}{f_d}$. +\item Cleaner because of narrow $\Pphi$ resonance. +\item $3.3~\sigma$ deviation in SM in the $1-6\GeV^2$ bin. +\end{itemize} + + +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + + + + + + +\begin{frame} + +\begin{center} + +\begin{Huge} +Anomaly 3\\ +\begin{align*} +P_5^{\prime} = \sqrt{2} \frac{\Re (\apeL \apaL^{\ast} - \apeR \apaR^{\ast} )}{\sqrt{ |\aze|^2 ( |\ape|^2 + |\aze|^2 )}} +\end{align*} +\end{Huge} + + +\end{center} + + +\end{frame} + + +%\azeLR +%\apaLR +%\apeLR + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{$\PBzero \to \PKstar \Pmuon \APmuon$ kinematics} +{~} + \begin{minipage}{\textwidth} + +$\color{JungleGreen}{\Rrightarrow}$ The kinematics of $\PBzero \to \PKstar \Pmuon \APmuon$ decay is described by three angles $\thetal$, $\thetak$, $\phi$ and invariant mass of the dimuon system ($q^2)$. + + \only<1>{ +\begin{columns} +\column{0.5\textwidth} + +$\color{JungleGreen}{\Rrightarrow}$ $\cos \thetak$: the angle between the direction of the kaon in the $\PKstar$ ($\overline{\PKstar}$) rest frame and the direction of the $\PKstar$ ($\overline{\PKstar}$) in the $\PBzero$ ($\APBzero$) rest frame.\\ +$\color{JungleGreen}{\Rrightarrow}$ $\cos \thetal$: the angle between the direction of the $\Pmuon$ ($\APmuon$) in the dimuon rest frame and the direction of the dimuon in the $\PBzero$ ($\APBzero$) rest frame.\\ +$\color{JungleGreen}{\Rrightarrow}$ $\phi$: the angle between the plane containing the $\Pmuon$ and $\APmuon$ and the plane containing the kaon and pion from the $\PKstar$. + + + +\column{0.5\textwidth} +\includegraphics[width=0.95\textwidth]{images/angles.png} + +\end{columns} + } + \only<2>{ +{\tiny{ +\eqa{\label{dist} +\frac{d^4\Gamma}{dq^2\,d\!\cos\theta_K\,d\!\cos\theta_l\,d\phi}&=&\frac9{32\pi} \bigg[ +J_{1s} \sin^2\theta_K + J_{1c} \cos^2\theta_K + (J_{2s} \sin^2\theta_K + J_{2c} \cos^2\theta_K) \cos 2\theta_l\nn\\[1.5mm] +&&\hspace{-2.7cm}+ J_3 \sin^2\theta_K \sin^2\theta_l \cos 2\phi + J_4 \sin 2\theta_K \sin 2\theta_l \cos\phi + J_5 \sin 2\theta_K \sin\theta_l \cos\phi \nn\\[1.5mm] +&&\hspace{-2.7cm}+ (J_{6s} \sin^2\theta_K + {J_{6c} \cos^2\theta_K}) \cos\theta_l ++ J_7 \sin 2\theta_K \sin\theta_l \sin\phi + J_8 \sin 2\theta_K \sin 2\theta_l \sin\phi \nn\\[1.5mm] +&&\hspace{-2.7cm}+ J_9 \sin^2\theta_K \sin^2\theta_l \sin 2\phi \bigg]\,, +\nonumber} +}} +$\color{JungleGreen}{\Rrightarrow}$ This is the most general expression of this kind of decay.\\ +\pause +\begin{exampleblock}{Credit where it belongs} +First time this eq. was written by prof. R. Sinha in 1996! \href{https://arxiv.org/pdf/hep-ph/9907386.pdf}{hep-ph/9608314} +\end{exampleblock} + + + +} + +\end{minipage} + \vspace*{2.1cm} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Transversity amplitudes } +{~} + \begin{minipage}{\textwidth} + +$\color{JungleGreen}{\Rrightarrow}$ One can link the angular observables to transversity amplitudes +{\tiny{ +\eqa{ +J_{1s} & = & \frac{(2+\beta_\ell^2)}{4} \left[|\apeL|^2 + |\apaL|^2 +|\apeR|^2 + |\apaR|^2 \right] + + \frac{4 m_\ell^2}{q^2} \re\left(\apeL\apeR^* + \apaL\apaR^*\right)\,,\nn\\[1mm] +% +J_{1c} & = & |\azeL|^2 +|\azeR|^2 + \frac{4m_\ell^2}{q^2} \left[|A_t|^2 + 2\re(\azeL^{}\azeR^*) \right] + \beta_\ell^2\, |A_S|^2 \,,\nn\\[1mm] +% +J_{2s} & = & \frac{ \beta_\ell^2}{4}\left[ |\apeL|^2+ |\apaL|^2 + |\apeR|^2+ |\apaR|^2\right], +\hspace{0.92cm} J_{2c} = - \beta_\ell^2\left[|\azeL|^2 + |\azeR|^2 \right]\,,\nn\\[1mm] +% +J_3 & = & \frac{1}{2}\beta_\ell^2\left[ |\apeL|^2 - |\apaL|^2 + |\apeR|^2 - |\apaR|^2\right], +\qquad J_4 = \frac{1}{\sqrt{2}}\beta_\ell^2\left[\re (\azeL\apaL^* + \azeR\apaR^* )\right],\nn \\[1mm] +% +J_5 & = & \sqrt{2}\beta_\ell\,\Big[\re(\azeL\apeL^* - \azeR\apeR^* ) - \frac{m_\ell}{\sqrt{q^2}}\, +\re(\apaL A_S^*+ \apaR^* A_S) \Big]\,,\nn\\[1mm] +% +J_{6s} & = & 2\beta_\ell\left[\re (\apaL\apeL^* - \apaR\apeR^*) \right]\,, +\hspace{2.25cm} J_{6c} = 4\beta_\ell\, \frac{m_\ell}{\sqrt{q^2}}\, \re (\azeL A_S^*+ \azeR^* A_S)\,,\nn\\[1mm] +% +J_7 & = & \sqrt{2} \beta_\ell\, \Big[\im (\azeL\apaL^* - \azeR\apaR^* ) + +\frac{m_\ell}{\sqrt{q^2}}\, \im (\apeL A_S^* - \apeR^* A_S)) \Big]\,,\nn\\[1mm] +% +J_8 & = & \frac{1}{\sqrt{2}}\beta_\ell^2\left[\im(\azeL\apeL^* + \azeR\apeR^*)\right]\,, +% +\hspace{1.9cm} J_9 = \beta_\ell^2\left[\im (\apaL^{*}\apeL + \apaR^{*}\apeR)\right] \,, +\label{Js}\nonumber} +}} + +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Link to effective operators} +{~} + \begin{minipage}{\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ So here is where the magic happens. At leading order the amplitudes can be written as: +{\tiny{ +\eqa{ +\apeLR &=&\sqrt{2} N m_B(1- \hat s)\bigg[ (\Ceff9 + \Cpeff9) \mp (\C{10} + \Cp{10}) ++\frac{2\hat{m}_b}{\hat s} (\Ceff7 + \Cpeff7) \bigg]\xi_{\bot}(E_{K^*}) \nn \\[2mm] +\apaLR &=& -\sqrt{2} N m_B (1-\hat s)\bigg[(\Ceff9 - \Cpeff9) \mp (\C{10} - \Cp{10}) ++\frac{2\hat{m}_b}{\hat s}(\Ceff7 - \Cpeff7) \bigg] \xi_{\bot}(E_{K^*}) \nn \\[2mm] +\azeLR &=& -\frac{N m_B (1-\hat s)^2}{2 \hat{m}_{K^*} \sqrt{\hat s}} \bigg[ (\Ceff9 - \Cpeff9) \mp (\C{10} - \Cp{10}) + 2\hat{m}_b (\Ceff7 - \Cpeff7) \bigg]\xi_{\|}(E_{K^*}), +\label{LargeRecoilAs}\nonumber} +}} +where $\hat s = q^2 /m_B^2$, $\hat{m}_i = m_i/m_B$. The $\xi_{\|,\bot }$ are the form factors. \\ +\pause +$\color{JungleGreen}{\Rrightarrow}$ Now we can construct observables that cancel the $\xi$ form factors at leading order: +\eq{P_5^{\prime} = \dfrac{J_5+\bar{J}_5}{2\sqrt{-(J_2^c+\bar{J}_2^c)(J_2^s+\bar{J}_2^s)} }\nonumber +} + + +\end{minipage} + \vspace*{2.1cm} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +\begin{center} +\begin{Huge} +LHCb measurement of $\PBd \to \PKstar \Pmu \Pmu$ +\end{Huge} +\end{center} + + + + +\end{frame} +\iffalse + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{LHCbs $\PBzero \to \PKstar \Pmuon \APmuon$, Selection} +{~} + \begin{minipage}{\textwidth} +\begin{footnotesize} +\begin{columns} +\column{0.2in} +{~} +\column{2in} +\ARROW Trigger +\begin{itemize} +\item Muon trigger. +\item Topological trigger. +\end{itemize} +\ARROW Good modelling with MC. \\ +\ARROW Selection: +\begin{itemize} +\item As loose as possible. +\item Based on the $\PBzero$ vertex quality, impact parameters, loose Particle identification for the hadrons. +\item The variables were chosen in a way we are sure the are correctly modelled in MC. +\end{itemize} +\column{2.8in} + +\includegraphics[angle=-90,width=0.75\textwidth]{{images/tistos_L0Muon_pt}.pdf}\\ +\includegraphics[angle=-90,width=0.75\textwidth]{{images/tistos_L0Muon_costhetal}.pdf} +\end{columns} + + + +\end{footnotesize} + + + +\end{minipage} + \vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Peaking backgrounds} +{~} + \begin{minipage}{\textwidth} +\begin{footnotesize} +\ARROW A number of peaking backgrounds that can mistaken as your signal.\\ +\ARROW There where a specially designed vetoes to fight each of them. +\begin{center} +\begin{tiny} +\hspace{-1cm}\begin{tabular}{ r | c c | c c } + \hline + & \multicolumn{2}{c|}{after preselection, before vetoes} & \multicolumn{2}{c }{after vetoes and selection}\\ + Channel & Estimated events & \% signal & Estimated events & \% signal \\ + \hline + \hline + $\PLambda_b \to \PLambda^{\ast}(1520)^{0} \mu\mu$ &$ (1.0\pm0.5)\times10^3 $&$ 19\pm8 $&$ 51\pm25 $&$ 1.0\pm0.4$\\ + $\PLambda_b \to {\rm p } \PK \mu\mu$ &$ (1.0\pm0.5)\times10^2 $&$ 1.9\pm0.8 $&$ 5.7\pm2.8 $&$ 0.11\pm0.05$ \\ + $\PBd \to \PKplus \mu \mu$ &$ 28\pm7 $&$ 0.55\pm0.06 $&$ 1.6\pm0.5 $&$ 0.031\pm0.006$\\ +$\PBs \to \Pphi \mu \mu$ &$ (3.2\pm1.3)\times10^2 $&$ 6.2\pm2.1 $&$ 17\pm7 $&$ 0.33\pm0.12$\\ +signal swaps &$ (3.6\pm0.9)\times10^2 $&$ 6.9\pm0.6 $&$ 33\pm9 $&$ 0.64\pm0.06$ \\ +$\PBd \to \PKstar \PJpsi$ swaps &$ (1.3\pm0.4)\times10^2 $&$ 2.6\pm0.4 $&$ 2.7\pm2.8 $&$ 0.05\pm0.05$ \\ + + \hline + \end{tabular} +\end{tiny} +\includegraphics[angle=-90,width=0.49\textwidth]{{images/h_Bd_Kstmm_vetoes}.pdf} +\includegraphics[angle=-90,width=0.49\textwidth]{{h_Lb_L1520mm_vetoes}.pdf} + +\end{center} + + + + +\end{footnotesize} + + + +\end{minipage} + \vspace*{2.1cm} +\end{frame} +\fi + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Multivariate simulation} +{~} + \begin{minipage}{\textwidth} +\begin{columns} + +\column{0.5\textwidth} +\begin{itemize} +\begin{footnotesize} +\item PID, kinematics and isolation variables used in a Boosted Decision Tree (BDT) to discriminate signal and background. +\item BDT with k-Folding technique. +\item Completely data driven. +\end{footnotesize} +\end{itemize} +\begin{center} +\includegraphics[width=0.70\textwidth]{images/Chopping_Distrib.pdf} +\end{center} + +\column{0.5\textwidth} + +\includegraphics[angle=-90,width=0.82\textwidth]{images/Fig1.pdf} \\ +\includegraphics[width=0.88\textwidth]{images/fold.png} + +\end{columns} + + + +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Multivariate simulation, efficiency} +{~} + + \begin{minipage}{\textwidth} + \begin{footnotesize} + +\ARROW BDT was also checked in order not to bias our angular distribution: +\begin{center} +\includegraphics[angle=-90,width=0.8\textwidth]{images/BDT_Eff_Comp.pdf} +\end{center} +\ARROW The BDT has small impact on our angular observables. We will correct for these effects later on. + +\end{footnotesize} +\end{minipage} + \vspace*{2.1cm} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\iffalse + +\begin{frame}{Mass modelling} +{~} +\begin{minipage}{\textwidth} +\begin{tiny} +\begin{columns} +\column{0.1in} +{~} +\column{2.5in} +\ARROW The signal is modelled by a sum of two Crystal-Ball functions with common mean.\\ +\ARROW The background is a single exponential.\\ +\ARROW The base parameters are obtained from the proxy channel: $\PBd \to \PJpsi (\mu\mu) \PKstar$.\\ +\ARROW All the parameters are fixed in the signal pdf.\\ +\ARROW Scaling factors for resolution are determined from MC.\\ +\ARROW In fitting the rare mode only the signal, background yield and the slope of the exponential is left floating.\\ +\begin{center} +\includegraphics[angle=-90,width=0.9\textwidth]{images/msignal.pdf}\\ + +\end{center} +\ARROW We found $624\pm30$ candidates in the most interesting $\left[1.1,6.0\right]~\GeV^2/c^4$ region \\ and $2398 \pm 57$ in the full range $\left[ 1.1, 19.\right]~\GeV^2/c^4$. +\column{2.5in} +\includegraphics[angle=-90,width=0.95\textwidth]{{images/FitJpsiKstar_withBDT_withoutPartially}.pdf}\\ +\includegraphics[angle=-90,width=0.95\textwidth]{{images/Scaling_factor}.pdf}\\ +\ARROW The S-wave fraction is extracted using a \texttt{LASS} model. +\end{columns} + +\end{tiny} +\end{minipage} + \vspace*{2.1cm} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Monte Carlo corrections} +{~} + \begin{minipage}{\textwidth} +\begin{footnotesize} +\ARROW No Monte Carlo simulation is perfect! One needs to correct for remaining differences.\\ +\ARROW We reweighted our $\PBd \to \PKstar \mu \mu$ Monte Carlo accordingly to differences between the $\PBd \to \PKstar \PJpsi$ in data (Splot) and Monte Carlo. +\only<1>{ +\begin{center} +\includegraphics[angle=-90,width=0.38\textwidth]{images/pt.pdf} +\includegraphics[angle=-90,width=0.38\textwidth]{images/vertex.pdf}\\ +\includegraphics[angle=-90,width=0.38\textwidth]{images/nTracks.pdf} +\end{center} +} +\only<2>{ +\begin{center} +\includegraphics[angle=-90,width=0.38\textwidth]{images/eta_logy.pdf} +\includegraphics[angle=-90,width=0.38\textwidth]{images/B0_p.pdf} \\ +\includegraphics[angle=-90,width=0.38\textwidth]{{images/bdt_data_mc_nominalMkpi}.pdf} +\end{center} +} + +\end{footnotesize} +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + +\fi + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Detector acceptance} +{~} + \begin{minipage}{\textwidth} +\begin{footnotesize} + +\begin{columns} + +\column{0.6\textwidth} +\begin{itemize} +\item Detector distorts our angular distribution. +\item We need to model this effect. +\item 4D function is used: +\begin{align*} +\epsilon (\cos \thetal, \cos \thetak, \phi, q^2) = \\\sum_{ijkl} P_i(\cos \thetal) P_j(\cos \thetak ) P_k(\phi) P_l(q^2), +\end{align*} +where $P_i$ is the Legendre polynomial of order $i$. +\item We use up to $4^{th}, 5^{th}, 6^{th}, 5^{th}$ order for the $\cos \thetal, \cos \thetak, \phi, q^2$. +\item The coefficients were determined using Method of Moments, with a huge simulation sample. +\item The simulation was done assuming a flat phase space and reweighing the $q^2$ distribution to make is flat. +\item To make this work the $q^2$ distribution needs to be reweighted to be flat. +\end{itemize} +%\includegraphics[width=0.75\textwidth]{images/q2PHSP.png} + + + +\column{0.4\textwidth} +\only<1>{ + +\includegraphics[width=0.99\textwidth]{images/det.png} +} +\end{columns} + + +\end{footnotesize} +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Control channel} +{~} + \begin{minipage}{\textwidth} +\begin{footnotesize} +\begin{itemize} +\item We tested our unfolding procedure on $\PB \to \PJpsi \PKstar$. +\item The result is in perfect agreement with other experiments and our different analysis of this decay. +\end{itemize} +\end{footnotesize} +\begin{center} +\includegraphics[angle=-90,width=0.4\textwidth]{images/mlogjpsi.pdf} +\includegraphics[angle=-90,width=0.4\textwidth]{images/mkpijpsi.pdf}\\ +\includegraphics[width=0.99\textwidth]{images/angles3.png} +\end{center} + + +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{The columns of New Physics} +{~} + \begin{minipage}{\textwidth} + \begin{center} + \includegraphics[width=0.94\textwidth]{images/columns.png} + + \end{center} + + +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{The columns of New Physics} +{~} + \begin{minipage}{\textwidth} +\begin{enumerate} +\item Maximum likelihood fit: +\begin{itemize} +\item The most standard way of obtaining the parameters. +\item Suffers from convergence problems, under coverages, etc. in low statistics. +\end{itemize} +\item Method of moments: +\begin{itemize} +\item Less precise then the likelihood estimator ($10-15\%$ larger uncertainties). +\item Does not suffer from the problems of likelihood fit. +\end{itemize} +\item Amplitude fit: +\begin{itemize} +\item Incorporates all the physical symmetries inside the amplitudes! The most precise estimator. +\item Has theoretical assumptions inside! +\end{itemize} +\end{enumerate} + +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Maximum likelihood fit - Results} +{~} +\begin{footnotesize} + + \begin{minipage}{\textwidth} +\ARROW In the maximum likelihood fit one could weight the events accordingly to the $\dfrac{1}{\varepsilon(\cos \thetal, \cos \thetak, \phi, q^2)}$\\ +\ARROW Better alternative is to put the efficiency into the maximum likelihood fit itself: +\begin{align*} +\mathcal{L}=\prod_{i=1}^N \epsilon_i(\Omega_i, q_i^2) \mathcal{P}(\Omega_i, q_i^2) / \int \epsilon(\Omega, q^2) \mathcal{P}(\Omega, q^2) d\Omega dq^2 +\end{align*} +\ARROW Only the relative weights matters!\\ +\ARROW The Procedure was commissioned with TOY MC study.\\ +\ARROW Use Feldmann-Cousins to determine the uncertainties. \\ +\ARROW Angular background component is modelled with $2^{\rm nd }$ order Chebyshev polynomials, which was tested on the side-bands.\\ +\ARROW S-wave component treated as nuisance parameter.\\ +\includegraphics[angle=-90,width=0.33\textwidth]{{images/FC_Afb3}.pdf} +\includegraphics[angle=-90,width=0.33\textwidth]{{images/FC_P11}.pdf} +\includegraphics[angle=-90,width=0.33\textwidth]{{images/FC_P57}.pdf} + +\end{minipage} +\end{footnotesize} + \vspace*{2.1cm} +\end{frame} +\iffalse +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Maximum likelihood fit - Results} +{~} + \begin{minipage}{\textwidth} +\begin{center} +\only<1>{ +\includegraphics[angle=-90,width=0.49\textwidth]{images/FLPad.pdf} +\includegraphics[angle=-90,width=0.49\textwidth]{images/S3Pad.pdf}\\ +\includegraphics[angle=-90,width=0.49\textwidth]{images/S4Pad.pdf} +\includegraphics[angle=-90,width=0.49\textwidth]{images/S5Pad.pdf} +} +\only<2>{ +\includegraphics[angle=-90,width=0.49\textwidth]{images/AFBPad.pdf} +\includegraphics[angle=-90,width=0.49\textwidth]{images/S7Pad.pdf}\\ +\includegraphics[angle=-90,width=0.49\textwidth]{images/S8Pad.pdf} +\includegraphics[angle=-90,width=0.49\textwidth]{images/S9Pad.pdf} +} + + +\end{center} + + +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Maximum likelihood fit - Results} + \begin{minipage}{\textwidth} + \begin{center} + \includegraphics[angle=-90,width=0.65\textwidth]{images/P5pPadOverlay.pdf}\\ + \end{center} + +\begin{itemize} +\item Tension with $3~\invfb$ gets confirmed! +\item two bins both deviate by $2.8~\sigma$ from SM prediction. +\item Result compatible with previous result. +\end{itemize} + + +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + + + +\fi + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Method of moments} +{~} +\begin{footnotesize} + \begin{minipage}{\textwidth} +\ARROW See {\color{blue}{\href{http://arxiv.org/abs/1503.04100}{Phys.Rev.D91(2015)114012}}}, F.Beaujean , M.Chrzaszcz, N.Serra, D. van Dyk for details.\\ +\ARROW The idea behind Method of Moments is simple: Use orthogonality of spherical harmonics, $f_j(\overrightarrow{\Omega})$ to solve for coefficients within a $q^2$ bin: +\begin{align*} +\int f_i(\overrightarrow{\Omega}) f_j(\overrightarrow{\Omega}) = \delta_{ij} +\end{align*} +\begin{align*} +M_i = \int \left( \dfrac{1}{d(\Gamma+ \bar{\Gamma})/dq^2} \right) \dfrac{d^3(\Gamma+\bar{\Gamma})}{d \overrightarrow{\Omega}} f_i(\overrightarrow{\Omega})d \Omega +\end{align*} +\ARROW Don’t have true angular distribution but we ''sample'' it with our data.\\ +\ARROW Therefore: $\int \to \sum$ and $M_i \to \widehat{M}_i$ +\begin{align*} +\hat{M}_i=\dfrac{1}{\sum_e \omega_e} \sum_e \omega_e f_i(\overrightarrow{\Omega}_e) +\end{align*} +\ARROW The weight $\omega$ accounts for the efficiency. Again the normalization of weights does not matter. + + +\end{minipage} +\end{footnotesize} + \vspace*{2.1cm} +\end{frame} + + + +\begin{frame}{Method of moments - results} +{~} +\begin{footnotesize} + \begin{minipage}{\textwidth} + +\only<3> +{ +\ARROW Method of Moments allowed us to measure for the first time a new observable: +} + +\begin{center} +\only<1>{ +\includegraphics[angle=-90,width=0.49\textwidth]{images/compare_FLPad.pdf} +\includegraphics[angle=-90,width=0.49\textwidth]{images/compare_S3Pad.pdf}\\ +\includegraphics[angle=-90,width=0.49\textwidth]{images/compare_S4Pad.pdf} +\includegraphics[angle=-90,width=0.49\textwidth]{images/compare_S5Pad.pdf} +} +\only<2>{ +\includegraphics[angle=-90,width=0.49\textwidth]{images/compare_AFBPad.pdf} +\includegraphics[angle=-90,width=0.49\textwidth]{images/compare_S7Pad.pdf}\\ +\includegraphics[angle=-90,width=0.49\textwidth]{images/compare_S8Pad.pdf} +\includegraphics[angle=-90,width=0.49\textwidth]{images/compare_S9Pad.pdf} +} +\only<3>{ +\includegraphics[angle=-90,width=0.75\textwidth]{images/S6cPad.pdf} +} + +\end{center} + +\end{minipage} +\end{footnotesize} + \vspace*{2.1cm} +\end{frame} + + + + + + + +\begin{frame}{Compatibility with SM} +{~} + + \begin{minipage}{\textwidth} + +\begin{columns} +\column{0.1in} +{~} +\column{2in} +\ARROW Use \texttt{EOS} software package to test compatibility with SM.\\ +\ARROW Perform the $\chi^2$ fit to the measured: +\begin{center} +\begin{align*} +F_L, A_{FB}, S_{3,..., 9} . +\end{align*} +\end{center} +\ARROW Float a vector coupling: $\Re(C_9)$.\\ +\ARROW Best fit is found to be $3.4~\sigma$ away from the SM. + + +\column{3in} +\begin{align*} +\Delta \Re (C_9) \equiv \Re(C_9)^{{\rm fit}} - \Re(C_9)^{{\rm SM}} = -1.03 +\end{align*} +\includegraphics[angle=-90,width=0.95\textwidth]{images/wilsonchi2.pdf} +\end{columns} + + + +\end{minipage} + + \vspace*{2.1cm} +\end{frame} + + + +\begin{frame}\frametitle{Global picture of $P_5^{\prime}$} + +\begin{columns} + +\column{0.4\textwidth} +\only<1>{{\color{gray}{\ARROW 2013 LHCb: \href{https://arxiv.org/pdf/1308.1707.pdf}{arXiv::1308.1707}}}\\} +\only<1>{\ARROW 2015 LHCb: \href{https://arxiv.org/abs/1512.04442}{arXiv::1512.0444}\\} +\only<1>{{\color{red}{\ARROW 2016 Belle: \href{https://arxiv.org/abs/1604.04042}{arXiv::1604.04042}}}\\} +\only<1>{\ARROW 2017: {\color{blue}{\href{https://atlas.web.cern.ch/Atlas/GROUPS/PHYSICS/CONFNOTES/ATLAS-CONF-2017-023/}{ATLAS-CONF-2017-023}}} $(20.5~\rm fb^{-1})$ and {\color{OliveGreen}{\href{http://cds.cern.ch/record/2256738?ln=en}{CMS-PAS-BPH-15-008}}} $(20.8~\rm fb^{-1})$} + + + +\column{0.6\textwidth} +\only<1>{ +\ARROW Theory: +~~DHMV: \href{https://arxiv.org/abs/1407.8526}{arXiv::1407.8526} +~~ASZB: \href{https://arxiv.org/abs/1411.3161}{arXiv::1411.3161} +} +%\includegraphics[width=0.95\textwidth]{images/P5p1.png} +\only<1>{ +\includegraphics[angle=-90,width=0.9\textwidth]{images/P5p.pdf} +} + + +\end{columns} +\only<1>{ + + +} + +\end{frame} + + + +\iffalse + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Branching fraction measurements of $\PLambdab \to \PLambda \Pmu \Pmu$} +{~} + \begin{minipage}{\textwidth} + + \begin{center} + \only<1>{ + \includegraphics[width=0.65\textwidth]{images/Lb_BR.png} +} + \only<2>{ + \includegraphics[width=0.45\textwidth]{images/Lblow.png} +\includegraphics[width=0.45\textwidth]{images/Lbhigh.png} + +} + + + \end{center} + + +\begin{itemize} +\item This years LHCb measurement [JHEP 06 (2015) 115]]. +\item In total $\sim 300$ candidates in data set. +\item Decay not present in the low $q^2$. + +\end{itemize} + + + +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{frame}{Angular analysis of $\PLambdab \to \PLambda \Pmu \Pmu$} +{~} + \begin{minipage}{\textwidth} + +\begin{itemize} +\item For the bins in which we have $>3~\sigma$ significance the forward backward asymmetry for the hadronic and leptonic system. +\end{itemize} +\begin{center} +\includegraphics[width=0.9\textwidth]{{images/AFB_Lb}.png} +\end{center} +\begin{itemize} +\item $A_{FB}^H$ is in good agreement with SM. +\item $A_{FB}^{\ell}$ always in above SM prediction. +\end{itemize} + + +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Lepton universality test} +{~} + \begin{minipage}{\textwidth} +\begin{columns} +\column{3.0in} +\begin{itemize} +\item If $\PZprime$ is responsible for the $P'_5$ anomaly, does it couple equally to all flavours? +\includegraphics[width=0.9\textwidth]{images/uni2.png} +\item Challenging analysis due to bremsstrahlung. +\item Migration of events modeled by MC. +\item Correct for bremsstrahlung. +\item Take double ratio with $\PBplus \to \PJpsi \PKplus$ to cancel systematics. +\item In $3\invfb$, LHCb measures $R_K=0.745^{+0.090}_{-0.074}(stat.)^{+0.036}_{-0.036}(syst.)$ +\item Consistent with SM at $2.6\sigma$. + +\end{itemize} +\column{2.0in} +\includegraphics[width=0.99\textwidth]{images/RK.png}\\ +\begin{itemize} +\item \href{http://arxiv.org/abs/1406.6482}{Phys. Rev. Lett. 113, 151601 (2014)} +\end{itemize} +\end{columns} + + + +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Angular analysis of $\PBzero \to \PKstar \Pe \Pe$} +{~} +\only<1>{ + \begin{minipage}{\textwidth} + \begin{itemize} + \item With the full data set ($3\invfb$) we performed angular analysis in $0.0004 < q^2 <1~\GeV^2$. + \item Electrons channels are extremely challenging experimentally: + \begin{itemize} + \item Bremsstrahlung. + \item Trigger efficiencies. + \end{itemize} + \item Determine the angular observables: $\FL$, $\ATD$, $\ATRe$, $\ATIm$: + \end{itemize} +\begin{equation} + \label{eq:physPars} + \begin{split} + \FL &=\frac{|A_0|^2}{|A_0|^2+|A_{||}|^2 + |A_\perp|^2}\\ + \ATD &= \frac{|A_\perp|^2-|A_{||}|^2}{|A_\perp|^2+|A_{||}|^2}\\ + \ATRe &= \frac{2\Real(A_{||L}A^*_{\perp L} + A_{||R}A^*_{\perp R})}{|A_{||}|^2 + |A_\perp|^2}\\ + \ATIm &= \frac{2\Imag(A_{||L}A^*_{\perp L} + A_{||R}A^*_{\perp R})}{|A_{||}|^2 + |A_\perp|^2}, +\end{split}\nonumber +\end{equation} + +\end{minipage} +} +\only<2>{ +\begin{center} +\includegraphics[width=0.5\textwidth]{images/Kstee.png}\\ +\end{center} +\begin{itemize} +\item Results in full agreement with the SM. +\item Similar strength on $C_7$ Wilson coefficient as from $\Pbeauty \to \Pstrange \Pphoton$ decays. +\end{itemize} + +\begin{center} +\includegraphics[width=0.9\textwidth]{images/Kstee2.png} +\end{center} + +} + \vspace*{2.1cm} +\end{frame} + +\fi + +\begin{frame} +\begin{center} +\begin{Huge} +Global fit to $\Pbeauty \to \Pstrange \ell \ell$ measurements +\end{Huge} +\end{center} + + + + +\end{frame} + + + +\begin{frame}{Link the observables} +\begin{footnotesize} + +\ARROW Fits prepare by \texttt{S. Descotes-Genon, L. Hofer, J. Matias, J. Virto}, \href{http://arxiv.org/abs/1510.04239}{\color{blue}{arXiv::1510.04239}} + +\begin{itemize} + +\item Inclusive + +\begin{itemize} +\item $B\to X_s\gamma$ {\color{gray}($BR$) +.......................................................... } {\color{red} $\C7^{(\prime)}$}%, {\color{brown} $\C{\rm had}$} +\item $B\to X_s\ell^+\ell^-$ {\color{gray}($dBR/dq^2$) +............................................ } {\color{red} $\C7^{(\prime)}$, $\C9^{(\prime)}$, $\C{10}^{(\prime)}$}%, {\color{brown} $\C{\rm had}$} +\end{itemize} + +\item Exclusive leptonic + +\begin{itemize} +\item $B_s\to \ell^+\ell^-$ {\color{gray}($BR$) +........................................................ } {\color{red} $\C{10}^{(\prime)}$} +\end{itemize} + +\item Exclusive radiative/semileptonic +\begin{itemize} +\item $B\to K^*\gamma$ {\color{gray}($BR$, $S$, $A_I$) +................................................ } {\color{red} $\C7^{(\prime)}$}%, {\color{brown} $\C{\rm had}$} + +\item $B\to K\ell^+\ell^-$ {\color{gray}($dBR/dq^2$) +.............................................. } {\color{red} $\C7^{(\prime)}$, $\C9^{(\prime)}$, $\C{10}^{(\prime)}$}%, {\color{brown} $\C{\rm had}$} + +\item $\bf \color{Red} B\to K^*\ell^+\ell^-$ {\color{gray}($dBR/dq^2$, {\bf Optimized Angular Obs.}) +.. } {\color{red} $\C7^{(\prime)}$, $\C9^{(\prime)}$, $\C{10}^{(\prime)}$}%, {\color{brown} $\C{\rm had}$} + +\item $B_s\to \phi \ell^+\ell^-$ {\color{gray}($dBR/dq^2$, Angular Observables) +.............. } {\color{red} $\C7^{(\prime)}$, $\C9^{(\prime)}$, $\C{10}^{(\prime)}$}%, {\color{brown} $\C{\rm had}$} + +\item $\Lambda_b\to \Lambda\ell^+\ell^-$ {\color{gray}(None so far)} +\item etc. +\end{itemize} + + + +\end{itemize} +\end{footnotesize} + +\end{frame} + +\frame{ \frametitle{Statistic details} + +\begin{footnotesize} + +\ARROW Frequentist approach: +\medskip + +$$\chi^2(C_i) = [O_\text{exp}- O_\text{th}(C_i)]_j \, [Cov^{-1}]_{jk}\, [O_\text{exp}- O_\text{th}(C_i)]_k$$ + + +\begin{itemize} +\item $\bf Cov = Cov^\text{exp} + Cov^\text{th}$. We have $Cov^\text{exp}$ for the first time +\item Calculate $Cov^\text{th}$: correlated multigaussian scan over all nuisance parameters +\item $Cov^\text{th}$ depends on $C_i$: Must check this dependence\\[5mm] +\end{itemize} +For the Fit: +\begin{itemize} +\item Minimise $\chi^2 \to \chi^2_\text{min} = \chi^2(C_i^0)\quad$ (Best Fit Point = $C_i^0$) +\item Confidence level regions: $\chi^2(C_i) - \chi^2_\text{min} < \Delta\chi_{\sigma,n}$ +%\item Compute pulls by inversion of the above formula +\end{itemize} +\medskip +\ARROW The results from 1D scans:{~}\\{~}\\ +\begin{tiny} +\begin{tabular}{crccc} +%\toprule[1.6pt] +Coefficient ${\cal C}_i^{NP}={\cal C}_i-{\cal C}_i^{SM}$ & Best fit & 1$\sigma$ & 3$\sigma$ & Pull$_{\rm SM}$ \\ \hspace{10mm} \\[5mm] +% \midrule + $\bf\cred\C9^{\rm NP}$ & $ -1.09 $ & $ [-1.29,-0.87] $ & $ [-1.67,-0.39] $ & $\,\,\,\,\,\,\bf 4.5 + \cred \Leftarrow$ \hspace{5mm} \\[3mm] + $\C9^{\rm NP}=-\C{10}^{\rm NP}$ & $ -0.68 $ & $ [-0.85,-0.50] $ & $ [-1.22,-0.18] $ & \bf \quad 4.2 + $\cred\Leftarrow$ \hspace{5mm} \\[3mm] + $\C9^{\rm NP}=-\C{9'}^{\rm NP}$ & $ -1.06 $ & $ [-1.25,-0.86] $ & $ [-1.60,-0.40] $ & \quad \quad \quad \,\,\quad 4.8 + $\cred\Leftarrow$ (no $R_K$)\hspace{5mm} \\[3mm] + + \hspace{5mm} \\[3mm] +% \bottomrule[1.6pt] +\end{tabular} +\end{tiny} +\end{footnotesize} + +} + + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Theory implications} +{~} + \begin{minipage}{\textwidth} + +\begin{itemize} +\item The data can be explained by modifying the $C_9$ Wilson coefficient. +\item Overall there is around $4.5~\sigma$ discrepancy wrt. SM. +\end{itemize} +\includegraphics[width=0.9\textwidth]{images/C9.png} + + + + +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + + +\begin{frame}{2D scans} +{~} +\begin{footnotesize} + + \begin{minipage}{\textwidth} +\begin{columns} +\begin{column}{0.5cm} + + +\end{column} +\begin{column}{17cm} + +\renewcommand{\arraystretch}{1.4} + \setlength{\tabcolsep}{13pt} +\begin{tabular}{cccr} +\hline +Coefficient & Best Fit Point & Pull$_{\rm SM}$ \\ \hline + + $(\C7^{\rm NP},\C9^{\rm NP})$ & $(-0.00,-1.07)$ & {\bf 4.1} \hspace{5mm} \\ + $(\C9^{\rm NP},\C{10}^{\rm NP})$ & $(-1.08,0.33)$ & {\bf 4.3} \hspace{5mm} \\ + $(\C9^{\rm NP},\C{7'}^{\rm NP})$ & $(-1.09,0.02)$ & {\bf 4.2} \hspace{5mm} \\ + $(\C9^{\rm NP},\C{9'}^{\rm NP})$ & $(-1.12,0.77)$ & {\bf 4.5} \hspace{5mm} \\ + $(\C9^{\rm NP},\C{10'}^{\rm NP})$ & $(-1.17,-0.35)$ & {\bf 4.5} \hspace{5mm} \\ + $(\C{9}^{\rm NP}=-\C{9'}^{\rm NP},\C{10}^{\rm NP}=\C{10'}^{\rm NP})$ & $(-1.15,0.34)$ & \!\!\!\!\!\!\!\!\!\!\! {\bf 4.7} \\ + $(\C{9}^{\rm NP}=-\C{9'}^{\rm NP},\C{10}^{\rm NP}=-\C{10'}^{\rm NP})$ & $(-1.06,0.06)$ & {\bf 4.4} \hspace{5mm} \\ + $(\C{9}^{\rm NP}=\C{9'}^{\rm NP},\C{10}^{\rm NP}=\C{10'}^{\rm NP})$ & $(-0.64,-0.21)$ & 3.9 \hspace{5mm} \\ + $(\C{9}^{\rm NP}=-\C{10}^{\rm NP},\C{9'}^{\rm NP}=\C{10'}^{\rm NP})$ & $(-0.72,0.29)$ & 3.8 \hspace{5mm} \\ +% $(\C{9}^{\rm NP}=-\C{10}^{\rm NP},\C{9'}^{\rm NP}=-\C{10'}^{\rm NP})$ & $(-0.66,0.03)$ & 2.0 & 23.0 + %$(\C{9}^{\rm NP}=-\C{10}^{\rm NP},\C{9'}^{\rm NP}=-\C{10'}^{\rm NP})$ & $(-0.69,0.05)$ & 1.9 & 22.0 \hspace{5mm} \\ + +\end{tabular} +\end{column} +\end{columns} + + +\medskip +\begin{itemize} +\item $C_9^{NP}$ always play a dominant role +\item All 2D scenarios above 4$\sigma$ are quite indistinguishable. + +\end{itemize} + + + +\end{minipage} + +\end{footnotesize} + \vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%% + + + +\begin{frame}{$B\to K^\ast \ell\ell\ $ Amplitudes} + +\small + +\mbox{ +\includegraphics[width=3cm,height=2cm]{bsg0.jpg}\hspace{5mm} +\includegraphics[width=3cm,height=2cm]{bsg1.jpg}\hspace{5mm} +\includegraphics[width=3cm,height=2.4cm]{bsg2.jpg} +} + +\vspace{3mm} + +\mbox{ +\hspace{-10mm} +\colorbox{llgray}{ +\hspace{1mm} +$\displaystyle +A_\lambda^{L,R} = N_\lambda\ \bigg\{ +(C_9 \mp C_{10}) {\blue \F_\lambda(q^2)} ++\frac{2m_b M_B}{q^2} \bigg[ C_7 {\blue \F_\lambda^{T}(q^2)} +- 16\pi^2 \frac{M_B}{m_b} {\red \H_\lambda(q^2)} \bigg] +\bigg\} +$ +\hspace{2mm} +} +} + +\vspace{5mm} +{\small + +\hspace{-8mm} \btr {\brown Local (Form Factors) :} \hspace{2mm} {\blue $ \F_\lambda^{(T)}(q^2) = \av{\bar M_\lambda(k)| \,\bar s\, \Gamma_\lambda^{(T)}\, b\, | \bar{ B}(k+q)}$} +\\[5mm] + +\mbox{ +\hspace{-9mm} +\btr {\brown Non-Local :} \hspace{0mm} {\red $\displaystyle \H_\lambda(q^2) = i \,{\cal P}_\mu^\lambda \int d^4 x\ e^{i q\cdot x}\, +\av{\bar{M}_\lambda(k)| +T\big\{ {\cal J}_{\rm em}^\mu(x), \C{i} \, \mathcal{O}(0) \big\} | \bar{B}(q+k)}$} +} + +\vspace{3mm} + +\hspace{-8mm} +\btr CKM structure : \hspace{2mm} $\displaystyle \H_\lambda = {\color{gray}- \frac{\lambda_u}{\lambda_t} \H_\lambda^{(u)}} - \frac{\lambda_c}{\lambda_t} \H_\lambda^{(c)}$ \hspace{5mm} $\Rightarrow\ \mathcal{O} \sim (\bar{ c} b)(\bar{ s} c)$ + +} + +\end{frame} + + + + + +\begin{frame}{Analytic structure of $\H_\lambda(q^2)$} + +\Cite{Bobeth, Chrzaszcz, van Dyk, Virto 1707.07305} +\vspace{3mm} + + +Neglecting OZI- and CKM-suppressed contributions : + +\begin{center} +\includegraphics[width=7.5cm]{Analyticq2.png} +\end{center} + + +$\displaystyle { \hat{\mathcal{H}}_\lambda(q^2)} = (q^2 - M_{J/\psi}^2)(q^2 -M_{\psi(2S)}^2) \,{ {\mathcal{H}}_\lambda(q^2)} \quad $ has no poles. + +\end{frame} + + + +\begin{frame}{Accessing $q^2 > 0$ : $\ z\ $ expansion} + +\small +\Cite{Bobeth, Chrzaszcz, van Dyk, Virto 1707.07305} +\vspace{2mm} + +\btr Conformal mapping : \hspace{5mm} $q^2 \mapsto \ z\,(q^2) = \frac{\sqrt{t_+ - q^2} - \sqrt{t_+ - t_0}}{\sqrt{t_+ - q^2} + \sqrt{t_+ - t_0}}$ + +\mbox{ +\hspace{-10mm} +\raisebox{8mm}{\includegraphics[width=5.6cm]{Analyticq22.png}} +\hspace{1mm} +\includegraphics[width=6.5cm]{Analyticz.png} +} + +\vspace{-7mm} + +\btr ${\red \hat \H_\lambda (q^2(z))}$ is {\bf analytic in $|z|<1$}\\[3mm] + +\btr Taylor expand $\red \hat{\H}_\lambda(z)$ around $z=0$.\\[3mm] + +\btr Expansion needed for $|z| < 0.52\ $ ( $-7\,\GeV^2 \leq q^2 \leq 14 \GeV^2$ ) + + +\end{frame} + + + + +\begin{frame}{Accessing $q^2 > 0$ : $\ z\ $ expansion} +\small +\Cite{Bobeth, Chrzaszcz, van Dyk, Virto 1707.07305} + +\vspace{3mm} + + +\hspace{-5mm} {\bf \brown Some details for actual parametrisation :} + +\mbox{\hspace{-5mm} \btr Try to capture most features of the expansion (better convergence)} + +\mbox{\hspace{-5mm} \btr Parametrize the ratios $\H_\lambda(q^2)/\F_\lambda(q^2)$ instead} + +\mbox{\hspace{-5mm} \btr The poles should not modify the asymptotic behaviour at $|q^2|\to \infty$} + +\begin{eqnarray} +\H_\lambda(z) &=& +\frac{1-z\, z^*_{J/\psi}}{z-z_{J/\psi}} \frac{1-z\,z^*_{\psi(2S)}}{z-z_{\psi(2S)}} \ \hat\H_\lambda(z) +\nonumber\\[2mm] +% +\hat\H_\lambda(z) &=& \Big[ \sum_{k=0}^K \alpha_k^{(\lambda)} z^{k} \Big] \F_\lambda(z) +\nonumber +\end{eqnarray} + + +where $\alpha^{(\lambda)}_k$ are complex coefficients, and the expansion is truncated after the term $z^{K}$. +We will take $K=2$ ({\brown 16} real parameters). + + +\end{frame} + + + + +\begin{frame}{Experimental constraints on $\ z\ $ parametrisation } +\small + +\vspace{-1mm} +\hspace{-5mm} +\Cite{Bobeth, Chrzaszcz, van Dyk, Virto 1707.07305} +\vspace{1mm} + +\hspace{-5mm} {\bf \brown Experimental constraints :} + +\mbox{\hspace{-5mm} \btr The residues of the poles are given by $B\to K^* \psi_n$ :} + +$$ +\H_\lambda(q^2 \to M_{\psi_n}^2) \sim +\frac{M_{\psi_n} f^{\,*}_{\psi_n} \A^{\psi_n}_\lambda}{M_B^2 (q^2 - M_{\psi_n}^2)} + \cdots +$$ + +\mbox{\hspace{-5mm} \btr Angular analyses \Cite{Belle, Babar, LHCb} determine : } + +$$ +|r_\perp^{\psi_n}|,\, +|r_\|^{\psi_n}|,\, +|r_0^{\psi_n}|,\, +\arg\{r_\perp^{\psi_n} r_{0}^{\psi_n*}\},\, +\arg\{r_\|^{\psi_n} r_{0}^{\psi_n*}\}, +$$ + +where $\quad \displaystyle r_\lambda^{\psi_n} \equiv \operatorname*{Res}_{q^2\to M^2_{\psi_n}} \frac{\H_\lambda(q^2)}{\F_\lambda(q^2)} +\sim +\frac{M_{\psi_n} f^*_{\psi_n} \A^{\psi_n}_\lambda}{M_B^2\, \F_\lambda(M_{\psi_n}^2)}$\\[3mm] + + +\mbox{\hspace{-5mm} \btr We produce correlated pseudo-observables from a fit (5+5).} + + + +\end{frame} + + + + +\begin{frame}{Prior Fit to $\ z\ $ parametrisation } +\small + +\vspace{-1mm} +\hspace{-5mm} +\vspace{1mm} + +\hspace{-5mm} {\bf \brown (Prior) Fit to Experimental and theoretical pseudo-observables :} + + + +\begin{table}[b] +% \resizebox{.85\textwidth}{!}{% +\centering +\renewcommand{\arraystretch}{1.5} +\renewcommand{\tabcolsep}{3.1mm} +\begin{tabular}{@{}crrr@{}} +\hline +$k$ & 0\hspace{7mm} & 1\hspace{7mm} & 2\hspace{7mm} \\ +\hline +%re perp +${\rm Re}[\alpha_{k}^{(\perp)}]$ & $-0.06 \pm 0.21$ & $-6.77 \pm 0.27$ & $18.96 \pm 0.59$ \\ +%re para +${\rm Re}[\alpha_{k}^{(\parallel)}]$ & $-0.35 \pm 0.62$ & $-3.13 \pm 0.41$ & $12.20 \pm 1.34$ \\ +%re long +${\rm Re}[\alpha_{k}^{(0)}]$ & $0.05 \pm 1.52$ & $17.26 \pm 1.64$ & -- \\ +%im perp +${\rm Im}[\alpha_{k}^{(\perp)}]$ & $-0.21 \pm 2.25$ & $1.17 \pm 3.58$ & $-0.08 \pm 2.24$ \\ +%im para +${\rm Im}[\alpha_{k}^{(\parallel)}]$ & $-0.04 \pm 3.67$ & $-2.14 \pm 2.46$ & $6.03 \pm 2.50$ \\ +%im long +${\rm Im}[\alpha_{k}^{(0)}]$ & $-0.05 \pm 4.99$ & $4.29 \pm 3.14$ & -- \\ +\hline +\end{tabular} +% } +\caption{Mean values and standard deviations (in units of $10^{-4}$) +of the prior PDF for the parameters $\alpha_k^{(\lambda)}$.} +\label{alphak} +\end{table} + +\end{frame} + +\begin{frame}{New Physics Analysis } +\small + +\vspace{-1mm} +\hspace{-5mm} +\vspace{1mm} + +\hspace{-5mm} {\bf \brown SM predictions and Fit including $B\to K^* \mu^+\mu^-$ data and $\C{9}^{\rm NP}$ :}\\[4mm] + +\mbox{ +\hspace{-10mm} +\includegraphics[width=12cm]{NPFit.png} +} + +The NP hypothesis with {\red $\C{9}^{\bf NP}\sim -1$} is favored strongly in the global fit + +\end{frame} + + + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Scale of NP?} +{~} + \begin{minipage}{\textwidth} +\includegraphics[width=0.99\textwidth]{15.png} + +\ARROW Stolen from M. Nardecchia +\end{minipage} + \vspace*{2.1cm} +\end{frame} + + + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Conclusions} +{~} + \begin{minipage}{\textwidth} +\begin{itemize} +\item Clear tensions wrt. SM predictions! +\item Measurements cluster in the same direction. +\item We are not opening the champagne yet! +\item Still need improvement both on theory and experimental side. +\item Time will tell if this is QCD+fluctuations or new Physics: +\end{itemize} +\pause +''... when you have eliminated all the\\ +Standard Model explanations, whatever remains,\\ +however improbable, must be New Physics.''\\ +prof. Joaquim Matias + + \end{minipage} + \vspace*{2.1cm} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} +{~} + \begin{minipage}{\textwidth} +\begin{center} +\begin{LARGE} +Thank you for the attention! +\end{LARGE} +\includegraphics[width=0.8\textwidth]{images/Joke.jpg} + +\end{center} + + + + \end{minipage} + \vspace*{2.1cm} +\end{frame} + + + +\backupbegin + +\begin{frame}\frametitle{Backup} + + +\end{frame} + + + + +\begin{frame}{Amplitudes method} +{~} +\begin{footnotesize} + \begin{minipage}{\textwidth} + +\ARROW Fit for amplitudes as (continuous) functions of $q^2$ in the region: $q^2 \in \left[ 1.1. 6.0 \right]~\GeV^2/c^4$.\\ +\ARROW Needs some Ansatz: +\begin{align*} +A(q^2) = \alpha + \beta q^2+ \dfrac{\gamma}{q^2} +\end{align*} +\ARROW The assumption is tested extensively with toys.\\ +\ARROW Set of 3 complex parameters $ \alpha, \beta, \gamma $ per vector amplitude:\begin{itemize} +\item {\color{Magenta}{$L, ~R$}}, {\color{Cerulean}{$0 ,~\| ,~\bot$}}, {\color{PineGreen}{$\Re ,~\Im$}} $\rightarrowtail$~~ $3 \times {\color{PineGreen}{2}} \times {\color{Cerulean}{3}} \times {\color{Magenta}{2}} = 36$ DoF. +\item Scalar amplitudes: $+4$ DoF. +\item Symmetries of the amplitudes reduces the total budget to: $28$. +\end{itemize} +\ARROW The technique is described in \href{http://arxiv.org/pdf/1504.00574v2.pdf}{\color{blue}{JHEP06(2015)084}}.\\ +\ARROW Allows to build the observables as continuous functions of $q^2$: +\begin{itemize} +\item At current point the method is limited by statistics. +\item In the future the power of this method will increase. +\end{itemize} +\ARROW Allows to measure the zero-crossing points for free and with smaller errors than previous methods. +\end{minipage} +\end{footnotesize} + \vspace*{2.1cm} +\end{frame} + + + +\begin{frame}{Amplitudes - results} +{~} +\begin{footnotesize} + \begin{minipage}{\textwidth} +\begin{center} +\begin{columns} +\column{0.45\textwidth} +\includegraphics[angle=-90,width=0.95\textwidth]{{images/amplitudes_AFBOverlay}.pdf}\\ +\includegraphics[angle=-90,width=0.95\textwidth]{{images/amplitudes_S4Overlay}.pdf} + +\column{0.45\textwidth} +\includegraphics[angle=-90,width=0.95\textwidth]{{images/amplitudes_S5Overlay}.pdf}\\ +{~}\\{~}\\{~}\\{~}\\ +\begin{large} +Zero crossing points: +\end{large} +\begin{align*} +q_0(S_4) & <2.65 & {\rm{~at~}} & 95\% ~CL \\ +q_0(S_5) & \in \left[ 2.49,3.95 \right] & {\rm{~at~}} & 68\% ~CL \\ +q_0(A_{FB}) & \in \left[ 3.40, 4.87 \right] & {\rm{~at~}} & 68\% ~CL +\end{align*} + + +\end{columns} +\end{center} + +\end{minipage} +\end{footnotesize} + \vspace*{2.1cm} +\end{frame} + + + +\backupend + +\end{document} diff --git a/Seminars/India_IMSC_2018/mchrzasz.toc b/Seminars/India_IMSC_2018/mchrzasz.toc new file mode 100644 index 0000000..baf3b21 --- /dev/null +++ b/Seminars/India_IMSC_2018/mchrzasz.toc @@ -0,0 +1,5 @@ +\boolfalse {citerequest}\boolfalse {citetracker}\boolfalse {pagetracker}\boolfalse {backtracker}\relax +\defcounter {refsection}{0}\relax +\beamer@endinputifotherversion {3.36pt} +\defcounter {refsection}{0}\relax +\select@language {english} diff --git a/Seminars/India_IMSC_2018/tikzfeynman.sty b/Seminars/India_IMSC_2018/tikzfeynman.sty new file mode 100755 index 0000000..521fc65 --- /dev/null +++ b/Seminars/India_IMSC_2018/tikzfeynman.sty @@ -0,0 +1,43 @@ +% Tikz Feynman Diagrams +% by Flip Tanedo +% 4 January 2011, work in progress + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%% TIKZ - for drawing Feynman diagrams %%%% +%%% ... use with pdflatex %%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\usepackage{tikz} +\usetikzlibrary{arrows,shapes} +\usetikzlibrary{trees} +\usetikzlibrary{matrix,arrows} % For commutative diagram + % http://www.felixl.de/commu.pdf +\usetikzlibrary{positioning} % For "above of=" commands +\usetikzlibrary{calc,through} % For coordinates +\usetikzlibrary{decorations.pathreplacing} % For curly braces +\usepackage[tikz]{bclogo} % For cute logo boxes +\usepackage{pgffor} % For repeating patterns + +\usetikzlibrary{decorations.pathmorphing} % For Feynman Diagrams +\usetikzlibrary{decorations.markings} +\tikzset{ + % >=stealth', %% Different kind of arrows + vector/.style={decorate, decoration={snake}, draw}, + fermion/.style={postaction={decorate}, + decoration={markings,mark=at position .55 with {\arrow{>}}}}, + fermionbar/.style={draw, postaction={decorate}, + decoration={markings,mark=at position .55 with {\arrow{<}}}}, + fermionnoarrow/.style={}, + gluon/.style={decorate, + decoration={coil,amplitude=4pt, segment length=5pt}}, + scalar/.style={dashed, postaction={decorate}, + decoration={markings,mark=at position .55 with {\arrow{>}}}}, + scalarbar/.style={dashed, postaction={decorate}, + decoration={markings,mark=at position .55 with {\arrow{<}}}}, + scalarnoarrow/.style={dashed,draw}, +% +%% Special vectors (when you need to fine-tune wiggles) + provector/.style={decorate, decoration={snake,amplitude=2.5pt}, draw}, + antivector/.style={decorate, decoration={snake,amplitude=-2.5pt}, draw}, +} +