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Package biblatex Info: Trying to load language 'english'... Package biblatex Info: ... file 'english.lbx' found. @@ -2363,43 +2367,46 @@ LaTeX Warning: Label `LargeRecoilAs' multiply defined. + +LaTeX Warning: Label `LargeRecoilAs' multiply defined. + ) \openout1 = `mchrzasz.aux'. -LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 259. -LaTeX Font Info: ... okay on input line 259. -LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 259. -LaTeX Font Info: ... okay on input line 259. -LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 259. -LaTeX Font Info: ... okay on input line 259. -LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 259. -LaTeX Font Info: ... okay on input line 259. -LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 259. -LaTeX Font Info: ... okay on input line 259. -LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 259. -LaTeX Font Info: ... okay on input line 259. -LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 259. -LaTeX Font Info: ... okay on input line 259. -LaTeX Font Info: Checking defaults for PU/pdf/m/n on input line 259. -LaTeX Font Info: ... okay on input line 259. -LaTeX Font Info: Checking defaults for OT4/cmr/m/n on input line 259. -LaTeX Font Info: Try loading font information for OT4+cmr on input line 259. +LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 264. +LaTeX Font Info: ... okay on input line 264. +LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 264. +LaTeX Font Info: ... okay on input line 264. +LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 264. +LaTeX Font Info: ... okay on input line 264. +LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 264. +LaTeX Font Info: ... okay on input line 264. +LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 264. +LaTeX Font Info: ... okay on input line 264. +LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 264. +LaTeX Font Info: ... okay on input line 264. +LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 264. +LaTeX Font Info: ... okay on input line 264. +LaTeX Font Info: Checking defaults for PU/pdf/m/n on input line 264. +LaTeX Font Info: ... okay on input line 264. +LaTeX Font Info: Checking defaults for OT4/cmr/m/n on input line 264. +LaTeX Font Info: Try loading font information for OT4+cmr on input line 264. 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(/usr/share/texmf/tex/latex/tipa/t3cmr.fd File: t3cmr.fd 2001/12/31 TIPA font definitions ) -LaTeX Font Info: ... okay on input line 259. +LaTeX Font Info: ... okay on input line 264. *geometry* driver: auto-detecting *geometry* detected driver: xetex @@ -2436,8 +2443,8 @@ * (1in=72.27pt=25.4mm, 1cm=28.453pt) ABD: EveryShipout initializing macros -\AtBeginShipoutBox=\box108 -Package hyperref Info: Link coloring OFF on input line 259. +\AtBeginShipoutBox=\box109 +Package hyperref Info: Link coloring OFF on input line 264. (/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty Package: nameref 2012/10/27 v2.43 Cross-referencing by name of section @@ -2447,9 +2454,9 @@ ) \c@section@level=\count438 ) -LaTeX Info: Redefining \ref on input line 259. -LaTeX Info: Redefining \pageref on input line 259. -LaTeX Info: Redefining \nameref on input line 259. +LaTeX Info: Redefining \ref on input line 264. +LaTeX Info: Redefining \pageref on input line 264. +LaTeX Info: Redefining \nameref on input line 264. (./mchrzasz.out) (./mchrzasz.out) \@outlinefile=\write9 @@ -2480,7 +2487,7 @@ tionary/translator-theorem-dictionary-English.dict Dictionary: translator-theorem-dictionary, Language: English ) -LaTeX Info: Redefining \includegraphics on input line 259. +LaTeX Info: Redefining \includegraphics on input line 264. *** you should *not* be loading the inputenc package *** XeTeX expects the source to be in UTF8 encoding @@ -2576,8 +2583,8 @@ Package biblatex Info: Trying to load bibliographic data... 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LaTeX Font Info: External font `plex10' loaded for size -(Font) <5> on input line 259. -LaTeX Font Info: Try loading font information for U+msa on input line 259. +(Font) <5> on input line 264. +LaTeX Font Info: Try loading font information for U+msa on input line 264. (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd File: umsa.fd 2013/01/14 v3.01 AMS symbols A ) -LaTeX Font Info: Try loading font information for U+msb on input line 259. +LaTeX Font Info: Try loading font information for U+msb on input line 264. (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd File: umsb.fd 2013/01/14 v3.01 AMS symbols B ) -LaTeX Font Info: Try loading font information for U+rsfs on input line 259. +LaTeX Font Info: Try loading font information for U+rsfs on input line 264. 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File: images/BG_lower.png Graphic file (type QTm) - + Overfull \vbox (19.18185pt too high) has occurred while \output is active [] ................................................. @@ -2859,11 +2862,8 @@ [6 ] -Overfull \vbox (9.90846pt too high) detected at line 560 - [] - File: images/BG_lower.png Graphic file (type QTm) - + Overfull \vbox (19.18185pt too high) has occurred while \output is active [] ................................................. @@ -2883,13 +2883,8 @@ [7 ] -File: images/angles.png Graphic file (type QTm) - -Overfull \vbox (51.94162pt too high) detected at line 607 - [] - File: images/BG_lower.png Graphic file (type QTm) - + Overfull \vbox (19.18185pt too high) has occurred while \output is active [] ................................................. @@ -2909,22 +2904,7 @@ [8 ] -Overfull \hbox (1.2237pt too wide) in alignment at lines 607--607 - [][][] [] - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 607--607 - - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 607--607 - 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-File: images/fold.png Graphic file (type QTm) - -Overfull \vbox (50.21593pt too high) detected at line 735 +File: images/det.png Graphic file (type QTm) + + +Package textpos Warning: environment textblock* not in vertical mode. +(textpos) Environment textblock* should not have any text +(textpos) or printable material appearing before it. +(textpos) Alignment may work out wrongly. on input line 738. + + +Overfull \vbox (37.33455pt too high) detected at line 738 [] File: images/BG_lower.png Graphic file (type QTm) @@ -3048,12 +3056,14 @@ [13 ] -File: images/pbkg.png Graphic file (type QTm) - -LaTeX Font Info: External font `plex10' loaded for size -(Font) <12> on input line 778. -Overfull \vbox (64.18109pt too high) detected at line 778 +Package textpos Warning: environment textblock* not in vertical mode. +(textpos) Environment textblock* should not have any text +(textpos) or printable material appearing before it. +(textpos) Alignment may work out wrongly. on input line 772. + + +Overfull \vbox (46.37106pt too high) detected at line 772 [] File: images/BG_lower.png Graphic file (type QTm) @@ -3077,9 +3087,26 @@ [14 ] -File: images/det.png Graphic file (type QTm) - 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{0}{0}{34}{41/42}{}{0}} \headcommand {\beamer@framepages {41}{42}} -\headcommand {\beamer@partpages {1}{42}} -\headcommand {\beamer@subsectionpages {1}{42}} -\headcommand {\beamer@sectionpages {1}{42}} -\headcommand {\beamer@documentpages {42}} -\headcommand {\def \inserttotalframenumber {29}} +\headcommand {\slideentry {0}{0}{35}{43/43}{}{0}} +\headcommand {\beamer@framepages {43}{43}} +\headcommand {\beamer@partpages {1}{43}} +\headcommand {\beamer@subsectionpages {1}{43}} +\headcommand {\beamer@sectionpages {1}{43}} +\headcommand {\beamer@documentpages {43}} +\headcommand {\def \inserttotalframenumber {27}} diff --git a/Menu2016/mchrzasz.pdf b/Menu2016/mchrzasz.pdf index 10144c5..33e0385 100644 --- a/Menu2016/mchrzasz.pdf +++ b/Menu2016/mchrzasz.pdf Binary files differ diff --git a/Menu2016/mchrzasz.snm b/Menu2016/mchrzasz.snm index 44c0e29..212833f 100644 --- a/Menu2016/mchrzasz.snm +++ b/Menu2016/mchrzasz.snm @@ -1,5 +1,7 @@ -\beamer@slide {LargeRecoilAs}{10} -\beamer@slide {symmassless}{12} -\beamer@slide {eq:pdfpwave}{12} -\beamer@slide {Js}{40} +\beamer@slide {eq:pdfpwave}{8} +\beamer@slide {LargeRecoilAs}{9} +\beamer@slide {Js}{36} +\beamer@slide {LargeRecoilAs}{37} \beamer@slide {LargeRecoilAs}{41} +\beamer@slide {symmassless}{43} +\beamer@slide {eq:pdfpwave}{43} diff --git a/Menu2016/mchrzasz.synctex.gz b/Menu2016/mchrzasz.synctex.gz deleted file mode 100644 index 26c5502..0000000 --- a/Menu2016/mchrzasz.synctex.gz +++ /dev/null Binary files differ diff --git a/Menu2016/mchrzasz.tex b/Menu2016/mchrzasz.tex index 619ab3e..ef2a51e 100644 --- a/Menu2016/mchrzasz.tex +++ b/Menu2016/mchrzasz.tex @@ -1,19 +1,19 @@ \documentclass[11 pt,xcolor={dvipsnames,svgnames,x11names,table}]{beamer} -\usepackage[english]{babel} -\usepackage{polski} +\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 + 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} @@ -21,7 +21,7 @@ \usepackage{emerald} \usefonttheme{professionalfonts} -\usepackage[no-math]{fontspec} +\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 @@ -43,6 +43,7 @@ \usepackage{graphicx} \usepackage[export]{adjustbox} +\usepackage[absolute,overlay]{textpos} \usepackage{amsmath} \usepackage{amsfonts} @@ -63,10 +64,10 @@ \usepackage{subfigure} \usepackage{tikz} -%\usepackage{hepparticles} -\usepackage[italic]{hepparticles} +%\usepackage{hepparticles} +\usepackage[italic]{hepparticles} -\usepackage{hepnicenames} +\usepackage{hepnicenames} % Drawing a line \tikzstyle{lw} = [line width=20pt] @@ -113,10 +114,10 @@ bigvector/.style={decorate, decoration={snake,amplitude=4pt}, draw}, } -% TIKZ - for block diagrams, +% TIKZ - for block diagrams, % from http://www.texample.net/tikz/examples/control-system-principles/ % \usetikzlibrary{shapes,arrows} -\tikzstyle{block} = [draw, rectangle, +\tikzstyle{block} = [draw, rectangle, minimum height=3em, minimum width=6em] @@ -162,7 +163,7 @@ } \newcommand{\backupend}{ \addtocounter{framenumberappendix}{-\value{framenumber}} - \addtocounter{framenumber}{\value{framenumberappendix}} + \addtocounter{framenumber}{\value{framenumberappendix}} } @@ -224,6 +225,8 @@ \def\ATIm {\ensuremath{A_{\mathrm{T}}^{\mathrm{Im}}}\xspace} \def\ATRe {\ensuremath{A_{\mathrm{T}}^{\mathrm{Re}}}\xspace} +\def\cgreen{\color{green}} +\definecolor{green}{rgb}{0.2,0.6,0.2} \newcommand{\disp}{\displaystyle} @@ -239,15 +242,17 @@ \def\e{{\rm e}} \def\Br{{\rm Br}} -\newcommand\textref[1]{% - \begin{textblock*}{\paperwidth}(0pt,0.025\textheight) - \raggedleft \small{{\color{RoyalBlue} \emph{#1}}}\hspace{1.5em} - \end{textblock*}} - -\newcommand\textahref[2]{% - \begin{textblock*}{\paperwidth}(0pt,0.025\textheight) - \raggedleft \small{\emph{\href{#1}{#2} }}\hspace{1.5em} - \end{textblock*}} +\def\ARROW{{\color{JungleGreen}{$\Rrightarrow$}}\xspace} + +\newcommand\textref[1]{% + \begin{textblock*}{\paperwidth}(0pt,0.025\textheight) + \raggedleft \small{{\color{RoyalBlue} \emph{#1}}}\hspace{1.5em} + \end{textblock*}} + +\newcommand\textahref[2]{% + \begin{textblock*}{\paperwidth}(0pt,0.025\textheight) + \raggedleft \small{\emph{\href{#1}{#2} }}\hspace{1.5em} + \end{textblock*}} \author{ {\fontspec{Trebuchet MS}Marcin Chrz\k{a}szcz} (Universit\"{a}t Z\"{u}rich, IFJ PAN)} @@ -334,7 +339,7 @@ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}\frametitle{Why rare decays?} +\begin{frame}\frametitle{Why electroweak penguin decays?} \begin{columns} \column{4in} \begin{itemize} @@ -418,7 +423,8 @@ } -\only<2>{\frametitle{LHCb detector - PID, \href{http://arxiv.org/abs/1412.6352}{Int. J. Mod. Phys. A 30}} +\only<2>{\frametitle{LHCb detector - PID} + \begin{columns} \column{3in} \includegraphics[width=0.9\textwidth]{images/1050px-Lhcbview.jpg} @@ -426,10 +432,9 @@ \column{2in} \includegraphics[width=0.95\textwidth]{images/cher.png} \end{columns} -begin{small} \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, $\epsilon_{\PK \to \PK} \sim 95\%$, $\epstexilon_{\Ppi \to \PK} \sim 5\%$.\\ +\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,\\ @@ -440,7 +445,7 @@ } -\textref{Int. J. Mod. Phys. A 30} +\textref{Int. J. Mod. Phys. A30 (2015) 1530022} \vspace*{2.1cm} \end{frame} @@ -460,38 +465,37 @@ \column{0.5\textwidth} $\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Branching fractions:}} \begin{description} -\item [$\PB \to \PK \Pmuon \APmuon$] {~}{~}LHCb, Mar 14 -\item [$\PB^{0} \to \PKstar \Pmuon \APmuon$] {~}{~}CMS, Jul 15 -\item [$\PBs \to \Pphi \Pmuon \APmuon$] {~}{~}{~}LHCb, Jun 15 -\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}LHCb, Sep 15 -\item [$\PLambdab \to \PLambda \Pmuon \APmuon$] {~}{~}{~}{~}LHCb, Mar 15 -\item [$\PB \to\Pmuon \APmuon$] {~}{~}{~}{~}{~}CMS+LHCb, Jun 15 +\item [$\PB \to \PK \Pmuon \APmuon$] {~}{~} \textt{\begin{tiny}1606.04731\end{tiny} +%\item [$\PB^{0} \to \PKstar \Pmuon \APmuon$] {~}{~}CMS, Jul 15 +\item [$\PBs \to \Pphi \Pmuon \APmuon$] {~}{~}{~}\begin{tiny}JHEP 09 (2015) 179\end{tiny} +\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}\begin{tiny}JHEP 12 (2012) 125\end{tiny} +\item [$\PLambdab \to \PLambda \Pmuon \APmuon$] {~}{~}{~}{~}\begin{tiny}JHEP 06 (2015) 115\end{tiny} +\item [$\PB \to\Pmuon \APmuon$] {~}{~}{~}{~}{~}\begin{tiny}Nature 15\end{tiny}} \end{description} $\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{CP asymmetry:}} \begin{description} -\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}{~}LHCb, Sep 15 +\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}{~}\begin{tiny}JHEP 10 (2015) 034\end{tiny} \end{description} $\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Isospin asymmetry:}} \begin{description} -\item [$\PB \to \PK \Pmuon \APmuon$] {~}{~}{~}{~}{~}LHCb, Mar 14 +\item [$\PB \to \PK \Pmuon \APmuon$] {~}{~}{~}{~}{~}\begin{tiny}JHEP 06 (2014) 133\end{tiny} \end{description} - \column{0.5\textwidth} $\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Lepton Universality:}} \begin{description} -\item [$\PB^{\pm} \to \PK^{\pm} \Plepton \APlepton$] {~}{~}LHCb, Jun 14 +\item [$\PB^{\pm} \to \PK^{\pm} \Plepton \APlepton$] {~}{~}\begin{tiny}PRL 113, (2014)\end{tiny} \end{description} $\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Angular:}} \begin{description} -\item [$\PB^{0} \to \PK^{\ast} \Plepton \APlepton$] {~}{~}{~}LHCb, Dec 15 -\item [$\PB^{0,\pm} \to \PK^{\ast,\pm} \Plepton \APlepton$] BaBar, Aug 15 -\item [$\PBs \to \Pphi \Pmu \Pmu$] {~}{~}{~}LHCb, Jun 15 -\item [$\PLambdab \to \PLambda \Pmuon \APmuon$] {~}{~}LHCb, Mar 15 +\item [$\PB^{0} \to \PK^{\ast} \Plepton \APlepton$] {~}{~}{~}\begin{tiny}JHEP 02 (2016) 104\end{tiny} +\item [$\PB^{0,\pm} \to \PK^{\ast,\pm} \Plepton \APlepton$] \begin{tiny}PRD 86 032012\end{tiny} +\item [$\PBs \to \Pphi \Pmu \Pmu$] {~}{~}{~}\begin{tiny}JHEP 09 (2015) 179\end{tiny} +\item [$\PLambdab \to \PLambda \Pmuon \APmuon$] {~}{~}\begin{tiny}JHEP 06 (2015) 115\end{tiny} \end{description} @@ -512,38 +516,38 @@ \column{0.5\textwidth} $\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Branching fractions:}} \begin{description} -\item [{\color{red}{$\PB \to \PK \Pmuon \APmuon$}}] {~}{~}{\color{red}{LHCb, Mar 14}} -\item [$\PB^{0} \to \PKstar \Pmuon \APmuon$] {~}{~}CMS, Jul 15 -\item [{\color{red}{$\PBs \to \Pphi \Pmuon \APmuon$}}] {~}{~}{~}{\color{red}{LHCb, Jun 15}} -\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}LHCb, Sep 15 -\item [$\PLambdab \to \PLambda \Pmuon \APmuon$] {~}{~}{~}{~}LHCb, Mar 15 -\item [{\color{red}{$\PB \to\Pmuon \APmuon$}}] {~}{~}{~}{~}{~}{\color{red}{CMS+LHCb, Jun 15}} +\item [{\color{red}{$\PB \to \PK \Pmuon \APmuon$}}] {~}{~}{\color{red}{\begin{tiny}1606.04731\end{tiny}}} +%\item [$\PB^{0} \to \PKstar \Pmuon \APmuon$] {~}{~}CMS, Jul 15 +\item [{\color{red}{$\PBs \to \Pphi \Pmuon \APmuon$}}] {~}{~}{~}{\color{red}{\begin{tiny}JHEP 09 (2015) 179\end{tiny}}} +\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}\begin{tiny}JHEP 12 (2012) 125\end{tiny} +\item [$\PLambdab \to \PLambda \Pmuon \APmuon$] {~}{~}{~}{~}\begin{tiny}JHEP 06 (2015) 115\end{tiny} +\item [{\color{red}{$\PB \to\Pmuon \APmuon$}}] {~}{~}{~}{~}{~}{\color{red}{\begin{tiny}Nature 15\end{tiny}}} \end{description} $\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{CP asymmetry:}} \begin{description} -\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}{~}LHCb, Sep 15 +\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}{~}\begin{tiny}JHEP 10 (2015) 034\end{tiny} \end{description} $\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Isospin asymmetry:}} \begin{description} -\item [$\PB \to \PK \Pmuon \APmuon$] {~}{~}{~}{~}{~}LHCb, Mar 14 +\item [$\PB \to \PK \Pmuon \APmuon$] {~}{~}{~}{~}{~}\begin{tiny}JHEP 06 (2014) 133\end{tiny} \end{description} \column{0.5\textwidth} $\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Lepton Universality:}} \begin{description} -\item [{\color{red}{$\PB^{\pm} \to \PK^{\pm} \Plepton \APlepton$}}] {~}{~}{\color{red}{LHCb, Jun 14}} +\item [{\color{red}{$\PB^{\pm} \to \PK^{\pm} \Plepton \APlepton$}}] {~}{~}{\color{red}{\begin{tiny}PRL 113, (2014)\end{tiny}}} \end{description} $\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Angular:}} \begin{description} -\item [{\color{red}{$\PB^{0} \to \PK^{\ast} \Plepton \APlepton$}}] {~}{~}{~}LHCb, Dec 15 -\item [{\color{red}{$\PB^{\pm} \to \PK^{\ast,\pm} \Plepton \APlepton$}}] {\color{red}{BaBar, Aug 15}} -\item [$\PBs \to \Pphi \Plepton \APlepton$] {~}{~}{~}LHCb, Jun 15 -\item [{\color{red}{$\PLambdab \to \PLambda \Pmuon \APmuon$}}] {~}{~}{\color{red}{LHCb, Mar 15}} +\item [{\color{red}{$\PB^{0} \to \PK^{\ast} \Plepton \APlepton$}}] {~}{~}{~}\begin{tiny}PRD 86 032012\end{tiny} +\item [{\color{red}{$\PB^{0,\pm} \to \PK^{\ast,\pm} \Plepton \APlepton$}}] {\color{red}{\begin{tiny}JHEP 09 (2015) 179\end{tiny}}} +\item [$\PBs \to \Pphi \Plepton \APlepton$] {~}{~}{~}\begin{tiny}JHEP 09 (2015) 179\end{tiny} +\item [{\color{red}{$\PLambdab \to \PLambda \Pmuon \APmuon$}}] {~}{~}{\color{red}{\begin{tiny}JHEP 06 (2015) 115\end{tiny}}} \end{description} \begin{alertblock}{} @@ -559,62 +563,46 @@ \vspace*{2.1cm} \end{frame} +\iffalse -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{$\PBzero \to \PKstar \Pmuon \APmuon$ kinematics} +\fi + + +\begin{frame}{Observables in $\PB \to \PKstar \Pmu \Pmu$} {~} \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 ($q^2)$. +\ARROW The kinematics of $\PBzero \to \PKstar \Pmuon \APmuon$ decay is described by three angles $\thetal$, $\thetak$, $\phi$ and invariant mass of the dimuon system ($q^2)$.\\ +\ARROW The angular distribution can be written as: - \only<1>{ -\begin{columns} -\column{0.5\textwidth} - -$\color{JungleGreen}{\Rrightarrow}$ $\cos \thetak$: the angle between the direction of the kaon in the $\PKstar$ ($\overline{\PK}^{\ast}$) rest frame and the direction of the $\PKstar$ ($\overline{\PK}^{\ast}$) 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 $\PKstar$. +\begin{tiny} +\begin{align*} +\left.\frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi}\right|_{\rm P} = +\tfrac{9}{32\pi}\bigl[ +&\tfrac{3}{4} (1-{F_{\rm L}})\sin^2\thetak \label{eq:pdfpwave}\\[-0.75em] +&+ {F_{\rm L}}\cos^2\thetak + \tfrac{1}{4}(1-{F_{\rm L}})\sin^2\thetak\cos 2\thetal\nonumber\\ +&- {F_{\rm L}} \cos^2\thetak\cos 2\thetal + {S_3}\sin^2\thetak \sin^2\thetal \cos 2\phi\nonumber\\ +&+ {S_4} \sin 2\thetak \sin 2\thetal \cos\phi + {S_5}\sin 2\thetak \sin \thetal \cos \phi\nonumber\\ +&+ \tfrac{4}{3} {A_{\rm FB}} \sin^2\thetak \cos\thetal + {S_7} \sin 2\thetak \sin\thetal \sin\phi\nonumber\\ +&+ {S_8} \sin 2\thetak \sin 2\thetal \sin\phi + {S_9}\sin^2\thetak \sin^2\thetal \sin 2\phi \nonumber +\bigr]. +%\end{split} +%\bigr],\ +\end{align*} +\end{tiny} -\column{0.5\textwidth} -\includegraphics[width=0.99\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[ -{\color{red}{J_{1s}}} \sin^2\theta_K + {\color{red}{J_{1c}}} \cos^2\theta_K + ({\color{red}{J_{2s} }}\sin^2\theta_K + {\color{red}{J_{2c}}} \cos^2\theta_K) \cos 2\theta_l\nn\\[1.5mm] -&&\hspace{-2.7cm}+ {\color{red}{J_3}} \sin^2\theta_K \sin^2\theta_l \cos 2\phi + {\color{red}{J_4}} \sin 2\theta_K \sin 2\theta_l \cos\phi + {\color{red}{J_5}} \sin 2\theta_K \sin\theta_l \cos\phi \nn\\[1.5mm] -&&\hspace{-2.7cm}+ ({\color{red}{J_{6s}}} \sin^2\theta_K + {\color{red}{{J_{6c}}}} \cos^2\theta_K) \cos\theta_l -+ {\color{red}{J_7}} \sin 2\theta_K \sin\theta_l \sin\phi + {\color{red}{J_8}} \sin 2\theta_K \sin 2\theta_l \sin\phi \nn\\[1.5mm] -&&\hspace{-2.7cm}+ {\color{red}{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.\\ -$\color{JungleGreen}{\Rrightarrow}$ The $CP$ averaged angular observables are defined:\\ -\eq{ -S_i = \dfrac{J_i+ \bar{J}_i}{(d \Gamma + d \bar{\Gamma})/dq^2}\nonumber -} - -} - \end{minipage} \vspace*{2.1cm} \end{frame} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{frame}{Link to effective operators} {~} \begin{minipage}{\textwidth} -$\color{JungleGreen}{\Rrightarrow}$ The observables ${\color{red}{J_i}}$ are bilinear combinations of transversity amplitudes: $\apeLR,~\apaLR,~\azeLR $. \\ +$\color{JungleGreen}{\Rrightarrow}$ The observables ${\color{red}{S_i}}$ are bilinear combinations of transversity amplitudes: $\apeLR,~\apaLR,~\azeLR $. \\ $\color{JungleGreen}{\Rrightarrow}$ So here is where the magic happens. At leading order the amplitudes can be written as: {\tiny{ \eqa{ @@ -637,82 +625,16 @@ \end{frame} % symmetries -\begin{frame}{Symmetries in $\PB \to \PKstar \Pmu \Pmu$} -{~} -\begin{minipage}{\textwidth} -$\color{JungleGreen}{\Rrightarrow}$ We have 12 angular coefficients ($S_i$).\\ -$\color{JungleGreen}{\Rrightarrow}$ There exists 4 symmetry transformations that leave the angular distributions non changed: -\begin{tiny} -\eq{ -n_\|=\binom{A_\|^L}{A_\|^{R*}}\ ,\quad -n_\bot=\binom{A_\bot^L}{-A_\bot^{R*}}\ ,\quad -n_0=\binom{A_0^L}{A_0^{R*}}\ .\nonumber -} -\end{tiny} -\begin{tiny} -\eq{ - n_i^{'} = U n_i= - \left[ - \begin{array}{ll} - e^{i\phi_L} & 0 \\ - 0 & e^{-i \phi_R} - \end{array} - \right] - \left[ - \begin{array}{rr} - \cos \theta & -\sin \theta \\ - \sin \theta & \cos \theta - \end{array} - \right] - \left[ - \begin{array}{rr} - \cosh i \tilde{\theta} & -\sinh i \tilde{\theta} \\ - - \sinh i \tilde{\theta} & \cosh i \tilde{\theta} - \end{array} - \right] - n_i \,. - \label{symmassless}\nonumber} -\end{tiny} -$\color{JungleGreen}{\Rrightarrow}$ Using this symmetries one can show that there are 8 independent observables. The pdf can be wrote as: -\begin{tiny} -\begin{align*} -\left.\frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi}\right|_{\rm P} = -\tfrac{9}{32\pi}\bigl[ -&\tfrac{3}{4} (1-{F_{\rm L}})\sin^2\thetak \label{eq:pdfpwave}\\[-0.75em] -&+ {F_{\rm L}}\cos^2\thetak + \tfrac{1}{4}(1-{F_{\rm L}})\sin^2\thetak\cos 2\thetal\nonumber\\ -&- {F_{\rm L}} \cos^2\thetak\cos 2\thetal + {S_3}\sin^2\thetak \sin^2\thetal \cos 2\phi\nonumber\\ -&+ {S_4} \sin 2\thetak \sin 2\thetal \cos\phi + {S_5}\sin 2\thetak \sin \thetal \cos \phi\nonumber\\ -&+ \tfrac{4}{3} {A_{\rm FB}} \sin^2\thetak \cos\thetal + {S_7} \sin 2\thetak \sin\thetal \sin\phi\nonumber\\ -&+ {S_8} \sin 2\thetak \sin 2\thetal \sin\phi + {S_9}\sin^2\thetak \sin^2\thetal \sin 2\phi \nonumber -\bigr]. -%\end{split} -%\bigr],\ -\end{align*} -\end{tiny} - -\end{minipage} -\vspace*{2.1cm} -\end{frame} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - - - - - - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{LHCb update of the $\PBzero \to \PKstar \Pmuon \APmuon$, Selection} +\begin{frame}{$\PBzero \to \PKstar \Pmuon \APmuon$, Selection} {~} \begin{minipage}{\textwidth} \begin{columns} \column{0.55\textwidth} \begin{itemize} -\item \href{http://arxiv.org/abs/1512.04442}{{\color{blue}{arXiv:1512.04442}}} \item PID, kinematics and isolation variables used in a Boosted Decision Tree (BDT) to reject background. \item Reject the regions of $\PJpsi$ and $\Ppsi(2S)$. \item Specific vetos for backgrounds: $\PLambdab \to \Pproton \PK \Pmu \Pmu$, $\PBs \to \Pphi \Pmu \Pmu$, etc. @@ -731,12 +653,13 @@ \end{minipage} + \textref{JHEP 02 (2016) 104} \vspace*{2.1cm} \end{frame} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{LHCb update of the $\PBzero \to \PKstar \Pmuon \APmuon$, \href{http://arxiv.org/abs/1512.04442}{arXiv:1512.04442}} +\begin{frame}{$\PBzero \to \PKstar \Pmuon \APmuon$, Selection} {~} \begin{minipage}{\textwidth} @@ -752,7 +675,7 @@ \item $\PK \Ppi$ system: \begin{itemize} \item Beside the $\PKstar$ resonance there might might a tail from other higher mass states. -\item We modelled it in analysis. +\item We modelled it in the analysis. \item Reduced the systematic compared to previous analysis. \end{itemize} \end{itemize} @@ -766,7 +689,7 @@ \begin{large} \begin{itemize} \item In total we found $2398\pm57$ candidates in the $(0.1,19)~\GeV^2$ $q^2$ region. -\item $624 \pm 30$ candidates in the theoretically the most interesting $(1.1-6.0)~\GeV^2$ region. +\item $624 \pm 30$ candidates in the theoretically the most interesting $(1.1-6.0)~\GeV^2/c^4$ region. \end{itemize} \end{large} @@ -774,13 +697,15 @@ \end{minipage} + \textref{JHEP 02 (2016) 104} + \vspace*{2.1cm} \end{frame} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Detector acceptance, \href{http://arxiv.org/abs/1512.04442}{arXiv:1512.04442}} +\begin{frame}{Detector acceptance} {~} \begin{minipage}{\textwidth} \begin{columns} @@ -807,6 +732,8 @@ \end{minipage} + \textref{JHEP 02 (2016) 104} + \vspace*{2.1cm} \end{frame} @@ -816,7 +743,6 @@ {~} \begin{minipage}{\textwidth} \begin{itemize} -\item \href{http://arxiv.org/abs/1503.04100}{{\color{blue}{Phys. Rev. D 91, 114012 (2015)}}} \item Use orthogonality of spherical harmonics, $f_j(\cos \thetal, \cos \thetak, \phi)$: \begin{equation*} \int f_i(\cos \thetal, \cos \thetak, \phi) \cdot f_j(\cos \thetal, \cos \thetak, \phi) = \delta_{ij} @@ -840,11 +766,13 @@ \end{itemize} \end{minipage} + \textref{Phys. Rev. D 91, 114012 (2015)} + \vspace*{2.1cm} \end{frame} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Control channel, \href{http://arxiv.org/abs/1512.04442}{arXiv:1512.04442}} +\begin{frame}{Control channel} {~} \begin{minipage}{\textwidth} @@ -868,11 +796,11 @@ \begin{columns} \column{0.33\textwidth} -\includegraphics[width=0.95\textwidth]{images/costhetakjpsi.png} +\includegraphics[width=0.91\textwidth]{images/costhetakjpsi.png} \column{0.33\textwidth} -\includegraphics[width=0.95\textwidth]{images/costhetaljpsi.png} +\includegraphics[width=0.91\textwidth]{images/costhetaljpsi.png} \column{0.33\textwidth} -\includegraphics[width=0.95\textwidth]{images/phijpsi.png} +\includegraphics[width=0.91\textwidth]{images/phijpsi.png} \end{columns} @@ -881,13 +809,14 @@ \end{minipage} +\textref{JHEP 02 (2016) 104} \vspace*{2.1cm} \end{frame} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 -\begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ results, \href{http://arxiv.org/abs/1512.04442}{arXiv:1512.04442}} +\begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ results} \begin{minipage}{\textwidth} \begin{columns} \column{2.5in} @@ -898,11 +827,12 @@ \includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S5Pad.pdf} \end{columns} \end{minipage} +\textref{JHEP 02 (2016) 104} \vspace*{2.1cm} \end{frame} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 -\begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ results, \href{http://arxiv.org/abs/1512.04442}{arXiv:1512.04442}} +\begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ results} \begin{minipage}{\textwidth} \begin{columns} @@ -914,11 +844,13 @@ \includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S9Pad.pdf} \end{columns} \end{minipage} +\textref{JHEP 02 (2016) 104} \vspace*{2.1cm} + \end{frame} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Results in $\PB \to \PKstar \Pmu \Pmu$, \href{http://arxiv.org/abs/1512.04442}{arXiv:1512.04442}} +\begin{frame}{Results in $\PB \to \PKstar \Pmu \Pmu$} {~} \begin{minipage}{\textwidth} @@ -934,13 +866,14 @@ \end{minipage} +\textref{JHEP 02 (2016) 104} \vspace*{2.1cm} \end{frame} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Results in $\PB \to \PKstar \Pmu \Pmu$, \href{http://arxiv.org/abs/1512.04442}{arXiv:1512.04442}} +\begin{frame}{Results in $\PB \to \PKstar \Pmu \Pmu$} {~} \begin{minipage}{\textwidth} @@ -956,6 +889,7 @@ \end{itemize} \end{minipage} +\textref{JHEP 02 (2016) 104} \vspace*{2.1cm} \end{frame} @@ -963,7 +897,7 @@ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Branching fraction measurements of $\PB \to \PKstar^{\pm} \Pmu \Pmu$} +\begin{frame}{BF measurements of $\PB \to \PKstar^{0,\pm} \Pmu \Pmu$} {~} \includegraphics[angle=-90,width=0.5\textwidth]{images/ksmumu_BF.pdf} \includegraphics[angle=-90,width=0.5\textwidth]{images/kmumu_BF.pdf} @@ -974,7 +908,7 @@ \column{0.5\textwidth} \begin{itemize} \item Despite large theoretical errors the results are consistently smaller than SM prediction. -\item \href{http://dx.doi.org/10.1007/JHEP06(2014)133}{{\color{blue}{JHEP 06 (2014) 133}}} +%\item \href{http://dx.doi.org/10.1007/JHEP06(2014)133}{{\color{blue}{JHEP 06 (2014) 133}}} \end{itemize} \column{0.5\textwidth} \includegraphics[angle=-90,width=0.850\textwidth]{images/bukst_BF.pdf} @@ -984,6 +918,7 @@ \end{center} +\textref{JHEP 06 (2014) 133} \vspace*{2.1cm} \end{frame} @@ -993,7 +928,7 @@ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Branching fraction measurements of $\PBs \to \Pphi \Pmu \Pmu$} +\begin{frame}{BF measurements of $\PBs \to \Pphi \Pmu \Pmu$} {~} \begin{minipage}{\textwidth} \begin{center} @@ -1002,71 +937,45 @@ \end{center} \begin{itemize} -\item Recent LHCb measurement, \href{https://cds.cern.ch/record/2029820/files/JHEP09-179.pdf}{{\color{blue}{JHEP09 (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. +\item $3.3~\sigma$ deviation in SM in the $1-6\GeV^2/c^4$ bin. \item Angular part in agreement with SM ($S_5$ is not accessible). \end{itemize} \end{minipage} +\textref{JHEP09 (2015) 179} \vspace*{2.1cm} \end{frame} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Branching fraction measurements of $\PLambdab \to \PLambda \Pmu \Pmu$} +\begin{frame}{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} - - + \includegraphics[width=0.32\textwidth]{images/Lb_BR.png} \includegraphics[width=0.32\textwidth]{images/Lblow.png} +\includegraphics[width=0.32\textwidth]{images/Lbhigh.png} + +\begin{small} \begin{itemize} -\item This years LHCb measurement \href{http://arxiv.org/abs/1503.07138}{{\color{blue}{JHEP 06 (2015) 115}}}. \item In total $\sim 300$ candidates in data set. \item Decay not present in the low $q^2$. - +\item For the bins in which we have $>3~\sigma$ significance the forward backward asymmetry is measured for the hadronic and leptonic system. \end{itemize} - - - -\end{minipage} -\vspace*{2.1cm} -\end{frame} - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\begin{frame}{Angular analysis of $\PLambdab \to \PLambda \Pmu \Pmu$, \href{http://arxiv.org/abs/1503.07138}{{JHEP 06 (2015) 115}}} -{~} -\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} +\end{small} +\vspace{-0.5cm} \begin{center} -\includegraphics[width=0.9\textwidth]{{images/AFB_Lb}.png} +\includegraphics[width=0.7\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} +\textref{JHEP 06 (2015) 115} \vspace*{2.1cm} \end{frame} @@ -1080,10 +989,11 @@ \begin{minipage}{\textwidth} \begin{columns} \column{3.0in} -\includegraphics[width=0.9\textwidth]{images/uni2.png} \begin{itemize} -%\includegraphics[width=0.9\textwidth]{images/uni2.png} + + +%\includegraphics[width=0.99\textwidth]{images/uni2.png} \item Challenging analysis due to bremsstrahlung. \item Migration of events modeled by MC. \item Correct for bremsstrahlung. @@ -1093,15 +1003,17 @@ \end{itemize} \column{2.0in} +\includegraphics[width=1.05\textwidth]{images/uni2.png} \\ + \includegraphics[width=0.99\textwidth]{images/RK.png}\\ -\begin{itemize} -\item \href{http://arxiv.org/abs/1406.6482}{{\color{blue}{Phys. Rev. Lett. 113, 151601 (2014)}}}. -\end{itemize} +%\includegraphics[width=0.99\textwidth]{{images/rk_}.png}\\ \end{columns} +\includegraphics[width=0.85\textwidth]{{images/rk_}.png}\\ \end{minipage} +\textref{Phys. Rev. Lett. 113, 151601 (2014)} \vspace*{2.1cm} \end{frame} @@ -1114,7 +1026,7 @@ \only<1>{ \begin{minipage}{\textwidth} \begin{itemize} - \item With the full data set ($3\invfb$) we performed angular analysis in $0.0004 < q^2 <1~\GeV^2$, \href{http://arxiv.org/abs/1503.07138}{{\color{blue}{JHEP 04 (2015) 064}}}. + \item With the full data set ($3\invfb$) we performed angular analysis in $0.0004 < q^2 <1~\GeV^2/c^4$. \item Electrons channels are extremely challenging experimentally: \begin{itemize} \item Bremsstrahlung. @@ -1134,6 +1046,7 @@ } \end{minipage} +\textref{JHEP 04 (2015) 064} \vspace*{2.1cm} \end{frame} @@ -1145,14 +1058,15 @@ \begin{minipage}{\textwidth} \begin{itemize} -\item A preliminary fit prepared by \texttt{S. Descotes-Genon, L. Hofer, J. Matias, J. Virto}, presented in \href{http://arxiv.org/abs/1510.04239}{\color{blue}{arXiv::1510.04239}} +\item A fit prepared by \texttt{S. Descotes-Genon, L. Hofer, J. Matias, J. Virto}. \item Took into the fit: \begin{itemize} -\item $\mathcal{B} ( \PB \to X_s \Pphoton) = (3.36 \pm 0.23) \times 10^{-4} $, Misiak et. al. 2015. -\item $\mathcal{B} ( \PB \to\Pmu \Pmu)$, theory: Bobeth et al 2013, experiment: LHCb+CMS average (2015) -\item $\mathcal{B} ( \PB \to X_s \Pmu \Pmu$), Huber et al 2015 -\item $\mathcal{B} ( \PB \to \PK \Pmu \Pmu$),Bouchard et al 2013, 2015 -\item $\PB_{(s)} \to \PKstar(\Pphi) \Pmu \Pmu$, Horgan et al 2013 +\item $\mathcal{B} ( \PB \to X_s \Pphoton) = (3.36 \pm 0.23) \times 10^{-4} $, {\color{blue}{ Misiak et. al. PRL 114, 221801 (2015)}} + +\item $\mathcal{B} ( \PB \to\Pmu \Pmu)$, theory: {\color{blue}{ Bobeth PRD 89, (2014)}}, experiment: LHCb+CMS average (2015) +\item $\mathcal{B} ( \PB \to X_s \Pmu \Pmu$), {\color{blue}{ Huber et al Nucl Phys B802, 2008}} +\item $\mathcal{B} ( \PB \to \PK \Pmu \Pmu$), {\color{blue}{ Bouchard et al JHEP11 (2011) 122}} +\item $\PB_{(s)} \to \PKstar(\Pphi) \Pmu \Pmu$,{\color{blue}{ Horgan et al PRL 112, (2014)}} \item $\PB \to \PK \Pe \Pe$, $\PB \to \PKstar \Pe \Pe$ and $R_k$. \end{itemize} %\item Overall there is $>4~\sigma$ discrepancy wrt. SM. @@ -1163,6 +1077,7 @@ \end{minipage} +\textref{JHEP 06 (2016) 092} \vspace*{2.1cm} \end{frame} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -1171,7 +1086,7 @@ \begin{minipage}{\textwidth} \begin{itemize} -\item A preliminary fit prepared by \texttt{S. Descotes-Genon, L. Hofer, J. Matias, J. Virto}, presented in \href{http://arxiv.org/abs/1510.04239}{\color{blue}{arXiv::1510.04239}} +\item A fit prepared by \texttt{S. Descotes-Genon, L. Hofer, J. Matias, J. Virto}. \item The data can be explained by modifying the $C_9$ Wilson coefficient. \item Overall there is $>4~\sigma$ discrepancy wrt. SM prediction. \end{itemize} @@ -1181,6 +1096,7 @@ \end{minipage} +\textref{JHEP 06 (2016) 092} \vspace*{2.1cm} \end{frame} @@ -1195,11 +1111,11 @@ \item There might be something not taken into account in the theory. \item Resonances ($\PJpsi$, $\Ppsi(2S)$) tails can mimic NP effects. \item There might be some non factorizable QCD corrections.\\ -'' However, the central value of this effect would have to be significantly larger than expected on the basis of existing estimates'' \texttt{D.Straub}, \href{http://arxiv.org/abs/1503.06199}{ {\color{blue}{arXiv::1503.06199}}} +'' However, the central value of this effect would have to be significantly larger than expected on the basis of existing estimates'' \texttt{D.Straub}, \href{http://arxiv.org/abs/1503.06199}{ {\color{blue}{arXiv:1503.06199}}} . \end{itemize} \only<1>{ -\includegraphics[width=0.75\textwidth]{images/charmloop.png} +\includegraphics[width=0.6\textwidth]{images/charmloop.png} } \only<2>{ @@ -1218,16 +1134,17 @@ \begin{minipage}{\textwidth} \begin{itemize} -\item There is one other LUV decay recently measured by LHCb. -\item $R(\PDstar)=\dfrac{\mathcal{B}(\PB \to \PDstar \Ptau \Pnu)}{\mathcal{B}(\PB \to \PDstar \Pmu \Pnu)}$ -\item Clean SM prediction: $R(\PDstar)=0.252(3)$, PRD 85 094025 (2012) -\item LHCb result: $R(\PDstar)= 0.336 \pm 0.027 \pm 0.030$, HFAG average: $R(\PDstar)=0.322 \pm 0.022$ -\item $3.9~\sigma$ discrepancy wrt. SM prediction +\item There is one other Lepton Universality Violation decay recently measured by LHCb. +\item $R(\PDstar)=\dfrac{\mathcal{B}(\PB \to \PDstar \Ptau \Pnu)}{\mathcal{B}(\PB \to \PDstar \Pmu \Pnu)}$ +\item Clean SM prediction: $R(\PDstar)=0.252(3)$, {\color{blue}{PRD 85 094025 (2012)}} +\item LHCb result: $R(\PDstar)= 0.336 \pm 0.027 \pm 0.030$ +\item HFAG average: $R(\PDstar)=0.322 \pm 0.022$ +\item $4.0~\sigma$ discrepancy wrt. SM. \end{itemize} \begin{center} -\includegraphics[width=0.52\textwidth]{images/RDstar.png} +\includegraphics[width=0.4\textwidth]{images/RDstar.png} \end{center} \end{minipage} @@ -1249,7 +1166,7 @@ ''... when you have eliminated all the\\ Standard Model explanations, whatever remains,\\ however improbable, must be New Physics.''\\ -prof. Joaquim Matias +Prof. Joaquim Matias \end{minipage} \vspace*{2.1cm} @@ -1392,5 +1309,150 @@ \end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\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 $\PKstar$ ($\overline{\PK}^{\ast}$) rest frame and the direction of the $\PKstar$ ($\overline{\PK}^{\ast}$) 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=0.99\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[ +{\color{red}{J_{1s}}} \sin^2\theta_K + {\color{red}{J_{1c}}} \cos^2\theta_K + ({\color{red}{J_{2s} }}\sin^2\theta_K + {\color{red}{J_{2c}}} \cos^2\theta_K) \cos 2\theta_l\nn\\[1.5mm] +&&\hspace{-2.7cm}+ {\color{red}{J_3}} \sin^2\theta_K \sin^2\theta_l \cos 2\phi + {\color{red}{J_4}} \sin 2\theta_K \sin 2\theta_l \cos\phi + {\color{red}{J_5}} \sin 2\theta_K \sin\theta_l \cos\phi \nn\\[1.5mm] +&&\hspace{-2.7cm}+ ({\color{red}{J_{6s}}} \sin^2\theta_K + {\color{red}{{J_{6c}}}} \cos^2\theta_K) \cos\theta_l ++ {\color{red}{J_7}} \sin 2\theta_K \sin\theta_l \sin\phi + {\color{red}{J_8}} \sin 2\theta_K \sin 2\theta_l \sin\phi \nn\\[1.5mm] +&&\hspace{-2.7cm}+ {\color{red}{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.\\ +$\color{JungleGreen}{\Rrightarrow}$ The $CP$ averaged angular observables are defined:\\ +\eq{ +S_i = \dfrac{J_i+ \bar{J}_i}{(d \Gamma + d \bar{\Gamma})/dq^2}\nonumber +} + +} + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Link to effective operators} +{~} +\begin{minipage}{\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ The observables ${\color{red}{J_i}}$ are bilinear combinations of transversity amplitudes: $\apeLR,~\apaLR,~\azeLR $. \\ +$\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 soft form factors. \\ +\pause +$\color{JungleGreen}{\Rrightarrow}$ Now we can construct observables that cancel the $\xi$ soft 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} + +% symmetries +\begin{frame}{Symmetries in $\PB \to \PKstar \Pmu \Pmu$} +{~} +\begin{minipage}{\textwidth} +$\color{JungleGreen}{\Rrightarrow}$ We have 12 angular coefficients ($S_i$).\\ +$\color{JungleGreen}{\Rrightarrow}$ There exist 4 symmetry transformations that leave the angular distributions unchanged: +\begin{tiny} +\eq{ +n_\|=\binom{A_\|^L}{A_\|^{R*}}\ ,\quad +n_\bot=\binom{A_\bot^L}{-A_\bot^{R*}}\ ,\quad +n_0=\binom{A_0^L}{A_0^{R*}}\ .\nonumber +} +\end{tiny} +\begin{tiny} +\eq{ + n_i^{'} = U n_i= + \left[ + \begin{array}{ll} + e^{i\phi_L} & 0 \\ + 0 & e^{-i \phi_R} + \end{array} + \right] + \left[ + \begin{array}{rr} + \cos \theta & -\sin \theta \\ + \sin \theta & \cos \theta + \end{array} + \right] + \left[ + \begin{array}{rr} + \cosh i \tilde{\theta} & -\sinh i \tilde{\theta} \\ + - \sinh i \tilde{\theta} & \cosh i \tilde{\theta} + \end{array} + \right] + n_i \,. + \label{symmassless}\nonumber} +\end{tiny} +$\color{JungleGreen}{\Rrightarrow}$ Using this symmetries one can show that there are 8 independent observables. The pdf can be written as: +\begin{tiny} +\begin{align*} +\left.\frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi}\right|_{\rm P} = +\tfrac{9}{32\pi}\bigl[ +&\tfrac{3}{4} (1-{F_{\rm L}})\sin^2\thetak \label{eq:pdfpwave}\\[-0.75em] +&+ {F_{\rm L}}\cos^2\thetak + \tfrac{1}{4}(1-{F_{\rm L}})\sin^2\thetak\cos 2\thetal\nonumber\\ +&- {F_{\rm L}} \cos^2\thetak\cos 2\thetal + {S_3}\sin^2\thetak \sin^2\thetal \cos 2\phi\nonumber\\ +&+ {S_4} \sin 2\thetak \sin 2\thetal \cos\phi + {S_5}\sin 2\thetak \sin \thetal \cos \phi\nonumber\\ +&+ \tfrac{4}{3} {A_{\rm FB}} \sin^2\thetak \cos\thetal + {S_7} \sin 2\thetak \sin\thetal \sin\phi\nonumber\\ +&+ {S_8} \sin 2\thetak \sin 2\thetal \sin\phi + {S_9}\sin^2\thetak \sin^2\thetal \sin 2\phi \nonumber +\bigr]. +%\end{split} +%\bigr],\ +\end{align*} +\end{tiny} + +\end{minipage} +\vspace*{2.1cm} +\end{frame} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + + 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\begin{columns} - \begin{column}{0.75\textwidth} - \flushright\fontspec{Trebuchet MS}\bfseries \LARGE {Anomalies in electroweak penguins at LHCb} - \end{column} - \begin{column}{0.02\textwidth} - {~} - \end{column} - \begin{column}{0.23\textwidth} - % \hspace*{-1.cm} - \vspace*{-3mm} - \includegraphics[width=0.6\textwidth]{lhcb-logo} - \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]{uzh-transp}{~}{~} -\includegraphics[height=1.1cm]{ifj.png} -\end{column} -\end{columns} - -\vspace{1em} - \footnotesize\textcolor{gray}{on behalf of the LHCb collaboration,\\ Universit\"{a}t Z\"{u}rich, \\ Institute of Nuclear Physics, Polish Academy of Science}\normalsize\\ -\vspace{0.5em} - - \textcolor{normal text.fg!50!Comment}{MENU, Kyoto, 25-30 July 2016} -\end{center} -\end{frame} -} - - - - -\iffalse - -\begin{frame}{Outline} - - \begin{minipage}{\textwidth} - -\begin{enumerate} -\item Why flavour is important. -\item $\Pbeauty \to \Pstrange \ell \ell$ theory in a nutshell. -\item LHCb measurements of $\Pbeauty \to \Pstrange \ell \ell$. -\item Global fit to $\Pbeauty \to \Pstrange \ell \ell$ measurements. -\item Conclusions. -\end{enumerate} - - -\end{minipage} - \vspace*{2.cm} -\end{frame} - -\fi - - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}\frametitle{Why rare decays?} -\begin{columns} -\column{4in} -\begin{itemize} -\item In SM allows only the charged interactions to change flavour. -\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. -\begin{itemize} -\item This 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]{images/lupa.png} -\includegraphics[scale=0.3]{images/example.png} -\end{center} -\column{1.5in} -\includegraphics[width=0.61\textwidth]{images/couplings.png} -\end{columns} - -\end{frame} - - -\begin{frame}\frametitle{Tools} -\begin{itemize} -\item \textbf{Operator Product Expansion and Effective Field Theory} -\end{itemize} -\begin{columns} -\column{0.1in}{~} -\column{1.2in} -\begin{small} -\begin{align*} -H_{eff} = - \dfrac{4G_f}{\sqrt{2}} V V^{\prime \ast}\ \sum_i \left[\underbrace{C_i(\mu)O_i(\mu)}_\text{left-handed} +\underbrace{C'_i(\mu)O'_i(\mu)}_\text{right-handed}\right], -\end{align*} -\end{small} -\column{1.8in} -\begin{tiny} -\begin{description} - \item[i=1,2] Tree - \item[i=3-6,8] Gluon penguin - \item[i=7] Photon penguin - \item[i=9.10] EW penguin - \item[i=S] Scalar penguin - \item[i=P] Pseudoscalar penguin - \end{description} - -\end{tiny} -\end{columns} -where $C_i$ are the Wilson coefficients and $O_i$ are the corresponding effective operators. -\begin{center} -\includegraphics[width=0.85\textwidth,height=3cm]{images/all.png} - -\end{center} - - -\end{frame} - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\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 ($\delta p/p \sim 0.5 - 1.0\%$) and inv. mass resolution.\\ -$\Rightarrow$ Low combinatorial background. - -\end{itemize} - -} - -\only<2>{\frametitle{LHCb detector - PID} - -\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{small} -\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} - - -} - -\textref{Int. J. Mod. Phys. A 30} -\vspace*{2.1cm} -\end{frame} - - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Recent measurements of $\Pbeauty \to \Pstrange \Plepton \Plepton$} -{~} -\only<1>{ - - \begin{minipage}{\textwidth} - - -\begin{columns} - -\column{0.5\textwidth} -$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Branching fractions:}} -\begin{description} -\item [$\PB \to \PK \Pmuon \APmuon$] {~}{~}LHCb, Mar 14 -\item [$\PB^{0} \to \PKstar \Pmuon \APmuon$] {~}{~}CMS, Jul 15 -\item [$\PBs \to \Pphi \Pmuon \APmuon$] {~}{~}{~}LHCb, Jun 15 -\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}LHCb, Sep 15 -\item [$\PLambdab \to \PLambda \Pmuon \APmuon$] {~}{~}{~}{~}LHCb, Mar 15 -\item [$\PB \to\Pmuon \APmuon$] {~}{~}{~}{~}{~}CMS+LHCb, Jun 15 -\end{description} - -$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{CP asymmetry:}} -\begin{description} -\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}{~}LHCb, Sep 15 -\end{description} - -$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Isospin asymmetry:}} -\begin{description} -\item [$\PB \to \PK \Pmuon \APmuon$] {~}{~}{~}{~}{~}LHCb, Mar 14 -\end{description} - - -\column{0.5\textwidth} -$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Lepton Universality:}} -\begin{description} -\item [$\PB^{\pm} \to \PK^{\pm} \Plepton \APlepton$] {~}{~}LHCb, Jun 14 -\end{description} - - -$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Angular:}} -\begin{description} -\item [$\PB^{0} \to \PK^{\ast} \Plepton \APlepton$] {~}{~}{~}LHCb, Dec 15 -\item [$\PB^{0,\pm} \to \PK^{\ast,\pm} \Plepton \APlepton$] BaBar, Aug 15 -\item [$\PBs \to \Pphi \Pmu \Pmu$] {~}{~}{~}LHCb, Jun 15 -\item [$\PLambdab \to \PLambda \Pmuon \APmuon$] {~}{~}LHCb, Mar 15 -\end{description} - - - - - -\end{columns} - -\end{minipage} -} -\only<2>{ - - \begin{minipage}{\textwidth} - - -\begin{columns} - -\column{0.5\textwidth} -$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Branching fractions:}} -\begin{description} -\item [{\color{red}{$\PB \to \PK \Pmuon \APmuon$}}] {~}{~}{\color{red}{LHCb, Mar 14}} -\item [$\PB^{0} \to \PKstar \Pmuon \APmuon$] {~}{~}CMS, Jul 15 -\item [{\color{red}{$\PBs \to \Pphi \Pmuon \APmuon$}}] {~}{~}{~}{\color{red}{LHCb, Jun 15}} -\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}LHCb, Sep 15 -\item [$\PLambdab \to \PLambda \Pmuon \APmuon$] {~}{~}{~}{~}LHCb, Mar 15 -\item [{\color{red}{$\PB \to\Pmuon \APmuon$}}] {~}{~}{~}{~}{~}{\color{red}{CMS+LHCb, Jun 15}} -\end{description} - -$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{CP asymmetry:}} -\begin{description} -\item [$\PB^{\pm} \to \Ppi^{\pm} \Pmuon \APmuon$] {~}{~}LHCb, Sep 15 -\end{description} - -$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Isospin asymmetry:}} -\begin{description} -\item [$\PB \to \PK \Pmuon \APmuon$] {~}{~}{~}{~}{~}LHCb, Mar 14 -\end{description} - - -\column{0.5\textwidth} -$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Lepton Universality:}} -\begin{description} -\item [{\color{red}{$\PB^{\pm} \to \PK^{\pm} \Plepton \APlepton$}}] {~}{~}{\color{red}{LHCb, Jun 14}} -\end{description} - - -$\color{JungleGreen}{\Rrightarrow}$ {\color{WildStrawberry}{Angular:}} -\begin{description} -\item [{\color{red}{$\PB^{0} \to \PK^{\ast} \Plepton \APlepton$}}] {~}{~}{~}LHCb, Dec 15 -\item [{\color{red}{$\PB^{\pm} \to \PK^{\ast,\pm} \Plepton \APlepton$}}] {\color{red}{BaBar, Aug 15}} -\item [$\PBs \to \Pphi \Plepton \APlepton$] {~}{~}{~}LHCb, Jun 15 -\item [{\color{red}{$\PLambdab \to \PLambda \Pmuon \APmuon$}}] {~}{~}{\color{red}{LHCb, Mar 15}} -\end{description} - -\begin{alertblock}{} -$>2~\sigma$ deviations from SM - -\end{alertblock} - -\end{columns} - -\end{minipage} -} - -\vspace*{2.1cm} -\end{frame} - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\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 $\PKstar$ ($\overline{\PK}^{\ast}$) rest frame and the direction of the $\PKstar$ ($\overline{\PK}^{\ast}$) 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=0.99\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[ -{\color{red}{J_{1s}}} \sin^2\theta_K + {\color{red}{J_{1c}}} \cos^2\theta_K + ({\color{red}{J_{2s} }}\sin^2\theta_K + {\color{red}{J_{2c}}} \cos^2\theta_K) \cos 2\theta_l\nn\\[1.5mm] -&&\hspace{-2.7cm}+ {\color{red}{J_3}} \sin^2\theta_K \sin^2\theta_l \cos 2\phi + {\color{red}{J_4}} \sin 2\theta_K \sin 2\theta_l \cos\phi + {\color{red}{J_5}} \sin 2\theta_K \sin\theta_l \cos\phi \nn\\[1.5mm] -&&\hspace{-2.7cm}+ ({\color{red}{J_{6s}}} \sin^2\theta_K + {\color{red}{{J_{6c}}}} \cos^2\theta_K) \cos\theta_l -+ {\color{red}{J_7}} \sin 2\theta_K \sin\theta_l \sin\phi + {\color{red}{J_8}} \sin 2\theta_K \sin 2\theta_l \sin\phi \nn\\[1.5mm] -&&\hspace{-2.7cm}+ {\color{red}{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.\\ -$\color{JungleGreen}{\Rrightarrow}$ The $CP$ averaged angular observables are defined:\\ -\eq{ -S_i = \dfrac{J_i+ \bar{J}_i}{(d \Gamma + d \bar{\Gamma})/dq^2}\nonumber -} - -} - -\end{minipage} -\vspace*{2.1cm} -\end{frame} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Link to effective operators} -{~} -\begin{minipage}{\textwidth} -$\color{JungleGreen}{\Rrightarrow}$ The observables ${\color{red}{J_i}}$ are bilinear combinations of transversity amplitudes: $\apeLR,~\apaLR,~\azeLR $. \\ -$\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 soft form factors. \\ -\pause -$\color{JungleGreen}{\Rrightarrow}$ Now we can construct observables that cancel the $\xi$ soft 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} - -% symmetries -\begin{frame}{Symmetries in $\PB \to \PKstar \Pmu \Pmu$} -{~} -\begin{minipage}{\textwidth} -$\color{JungleGreen}{\Rrightarrow}$ We have 12 angular coefficients ($S_i$).\\ -$\color{JungleGreen}{\Rrightarrow}$ There exists 4 symmetry transformations that leave the angular distributions non changed: -\begin{tiny} -\eq{ -n_\|=\binom{A_\|^L}{A_\|^{R*}}\ ,\quad -n_\bot=\binom{A_\bot^L}{-A_\bot^{R*}}\ ,\quad -n_0=\binom{A_0^L}{A_0^{R*}}\ .\nonumber -} -\end{tiny} -\begin{tiny} -\eq{ - n_i^{'} = U n_i= - \left[ - \begin{array}{ll} - e^{i\phi_L} & 0 \\ - 0 & e^{-i \phi_R} - \end{array} - \right] - \left[ - \begin{array}{rr} - \cos \theta & -\sin \theta \\ - \sin \theta & \cos \theta - \end{array} - \right] - \left[ - \begin{array}{rr} - \cosh i \tilde{\theta} & -\sinh i \tilde{\theta} \\ - - \sinh i \tilde{\theta} & \cosh i \tilde{\theta} - \end{array} - \right] - n_i \,. - \label{symmassless}\nonumber} -\end{tiny} -$\color{JungleGreen}{\Rrightarrow}$ Using this symmetries one can show that there are 8 independent observables. The pdf can be wrote as: -\begin{tiny} -\begin{align*} -\left.\frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi}\right|_{\rm P} = -\tfrac{9}{32\pi}\bigl[ -&\tfrac{3}{4} (1-{F_{\rm L}})\sin^2\thetak \label{eq:pdfpwave}\\[-0.75em] -&+ {F_{\rm L}}\cos^2\thetak + \tfrac{1}{4}(1-{F_{\rm L}})\sin^2\thetak\cos 2\thetal\nonumber\\ -&- {F_{\rm L}} \cos^2\thetak\cos 2\thetal + {S_3}\sin^2\thetak \sin^2\thetal \cos 2\phi\nonumber\\ -&+ {S_4} \sin 2\thetak \sin 2\thetal \cos\phi + {S_5}\sin 2\thetak \sin \thetal \cos \phi\nonumber\\ -&+ \tfrac{4}{3} {A_{\rm FB}} \sin^2\thetak \cos\thetal + {S_7} \sin 2\thetak \sin\thetal \sin\phi\nonumber\\ -&+ {S_8} \sin 2\thetak \sin 2\thetal \sin\phi + {S_9}\sin^2\thetak \sin^2\thetal \sin 2\phi \nonumber -\bigr]. -%\end{split} -%\bigr],\ -\end{align*} -\end{tiny} - -\end{minipage} -\vspace*{2.1cm} -\end{frame} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - - - - - - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{$\PBzero \to \PKstar \Pmuon \APmuon$, Selection} -{~} -\begin{minipage}{\textwidth} -\begin{columns} - -\column{0.55\textwidth} -\begin{itemize} -\item PID, kinematics and isolation variables used in a Boosted Decision Tree (BDT) to reject background. -\item Reject the regions of $\PJpsi$ and $\Ppsi(2S)$. -\item Specific vetos for backgrounds: $\PLambdab \to \Pproton \PK \Pmu \Pmu$, $\PBs \to \Pphi \Pmu \Pmu$, etc. -\item Using k-Fold technique and signal proxy $\PB \to \PJpsi \PKstar$ for training the BDT. -\item Improved selection allowed for finer binning than the $1\invfb$ analysis. -\end{itemize} - - -\column{0.45\textwidth} - -\includegraphics[angle=-90,width=0.88\textwidth]{images/Fig1.pdf} \\ -\includegraphics[width=0.88\textwidth]{images/fold.png} - -\end{columns} - - - -\end{minipage} - \textref{JHEP 02 (2016) 104} -\vspace*{2.1cm} -\end{frame} - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{$\PBzero \to \PKstar \Pmuon \APmuon$, Selection} -{~} -\begin{minipage}{\textwidth} - -\begin{itemize} -\item Signal modelled by a sum of two Crystal-Ball functions. -\item Shape is defined using $\PB \to \PJpsi \PKstar$ and corrected for $q^2$ dependency. -\item Combinatorial background modelled by exponent. -\end{itemize} - -\begin{columns} -\column{0.5\textwidth} -\begin{itemize} -\item $\PK \Ppi$ system: -\begin{itemize} -\item Beside the $\PKstar$ resonance there might might a tail from other higher mass states. -\item We modelled it in analysis. -\item Reduced the systematic compared to previous analysis. -\end{itemize} -\end{itemize} - -\column{0.5\textwidth} - -\includegraphics[width=0.88\textwidth]{images/pbkg} - -\end{columns} - -\begin{large} -\begin{itemize} -\item In total we found $2398\pm57$ candidates in the $(0.1,19)~\GeV^2$ $q^2$ region. -\item $624 \pm 30$ candidates in the theoretically the most interesting $(1.1-6.0)~\GeV^2$ region. -\end{itemize} -\end{large} - - - - -\end{minipage} - \textref{JHEP 02 (2016) 104} - -\vspace*{2.1cm} -\end{frame} - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Detector acceptance} -{~} -\begin{minipage}{\textwidth} -\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} c_{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 $600$ terms in total! -\end{itemize} - - - - -\column{0.4\textwidth} -\includegraphics[width=0.99\textwidth]{images/det.png} -\end{columns} - - -\end{minipage} - \textref{JHEP 02 (2016) 104} - -\vspace*{2.1cm} -\end{frame} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% Moments -\begin{frame}{Method of moments} -{~} -\begin{minipage}{\textwidth} -\begin{itemize} -\item Use orthogonality of spherical harmonics, $f_j(\cos \thetal, \cos \thetak, \phi)$: -\begin{equation*} -\int f_i(\cos \thetal, \cos \thetak, \phi) \cdot f_j(\cos \thetal, \cos \thetak, \phi) = \delta_{ij} -\end{equation*} -\begin{equation*} -M_i = \int \frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi} f_i(\cos \thetal, \cos \thetak, \phi) -\end{equation*} -\item Don’t have true angular distribution but we ''sample'' it with our data. -\item Therefore: $\int \rightarrow \sum$ and $M_i \rightarrow \widehat{M}_i$ - -%\begin{equation*} -%M_i = \int \frac{1}{{\rm d}(\Gamma+\bar{\Gamma})/{\rm d}q^2}\frac{{\rm d}(\Gamma+\bar{\Gamma})}{{\rm dcos}\thetal\,{\rm dcos}\thetak\,{\rm d}\phi} f_i(\cos \thetal, \cos \thetak, \phi) -%\end{equation*} -\item Acceptance corrections is included by: -\begin{equation*} -\widehat{M}_i = \dfrac{1}{\sum_e w_e} \sum w_e f_i(\cos \thetal, \cos \thetak, \phi) -\end{equation*} -\item The weight $w_e$ accounts for the efficiency from previous slide. - - -\end{itemize} - -\end{minipage} - \textref{Phys. Rev. D 91, 114012 (2015)} - -\vspace*{2.1cm} -\end{frame} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Control channel} -{~} -\begin{minipage}{\textwidth} - - -\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} - -\begin{columns} - -\column{0.5\textwidth} - -\includegraphics[width=0.95\textwidth]{images/mlogjpsi.png} -\column{0.5\textwidth} -\includegraphics[width=0.95\textwidth]{images/mkpijpsi.png} - -\end{columns} - - -\begin{columns} - -\column{0.33\textwidth} -\includegraphics[width=0.95\textwidth]{images/costhetakjpsi.png} -\column{0.33\textwidth} -\includegraphics[width=0.95\textwidth]{images/costhetaljpsi.png} -\column{0.33\textwidth} -\includegraphics[width=0.95\textwidth]{images/phijpsi.png} - -\end{columns} - -%\includegraphics[width=0.99\textwidth]{images/angles2.png} - - - -\end{minipage} -\textref{JHEP 02 (2016) 104} -\vspace*{2.1cm} -\end{frame} - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 -\begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ results} - \begin{minipage}{\textwidth} -\begin{columns} -\column{2.5in} -\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_FLPad.pdf}\\ -\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S3Pad.pdf} -\column{2.5in} -\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S4Pad.pdf}\\ -\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S5Pad.pdf} -\end{columns} -\end{minipage} -\textref{JHEP 02 (2016) 104} - \vspace*{2.1cm} -\end{frame} - - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 -\begin{frame}\frametitle{$\PBzero \rightarrow \PK^{\ast} \Pmu \Pmu$ results} - - \begin{minipage}{\textwidth} -\begin{columns} -\column{2.5in} -\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_AFBPad.pdf}\\ -\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S7Pad.pdf} -\column{2.5in} -\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S8Pad.pdf}\\ -\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_S9Pad.pdf} -\end{columns} -\end{minipage} -\textref{JHEP 02 (2016) 104} - \vspace*{2.1cm} - -\end{frame} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Results in $\PB \to \PKstar \Pmu \Pmu$} -{~} - - \begin{minipage}{\textwidth} - \begin{center} - \includegraphics[angle=-90,width=0.65\textwidth]{images/compare_P5pPad.pdf}\\ - \end{center} - -\begin{itemize} -\item Tension gets confirmed! -\item The two bins deviate by $2.8$~and~$3.0~\sigma$ from SM prediction. -\item Result compatible with previous result. -\end{itemize} - - -\end{minipage} -\textref{JHEP 02 (2016) 104} - \vspace*{2.1cm} -\end{frame} - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Results in $\PB \to \PKstar \Pmu \Pmu$} -{~} - - \begin{minipage}{\textwidth} - -\begin{itemize} -\item Thanks to Method of Moments there was the possibility to measure a new observable $S_{6c}$. -\end{itemize} -\begin{center} -\includegraphics[angle=-90,width=0.65\textwidth]{images/S6cPad.pdf}\\ -\end{center} -\begin{itemize} -\item Measurement is consistent with the SM prediction. -\end{itemize} - -\end{minipage} -\textref{JHEP 02 (2016) 104} - \vspace*{2.1cm} -\end{frame} - - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{BF measurements of $\PB \to \PKstar^{0,\pm} \Pmu \Pmu$} -{~} -\includegraphics[angle=-90,width=0.5\textwidth]{images/ksmumu_BF.pdf} -\includegraphics[angle=-90,width=0.5\textwidth]{images/kmumu_BF.pdf} - -\begin{center} -\begin{columns} - -\column{0.5\textwidth} -\begin{itemize} -\item Despite large theoretical errors the results are consistently smaller than SM prediction. -%\item \href{http://dx.doi.org/10.1007/JHEP06(2014)133}{{\color{blue}{JHEP 06 (2014) 133}}} -\end{itemize} -\column{0.5\textwidth} -\includegraphics[angle=-90,width=0.850\textwidth]{images/bukst_BF.pdf} - - -\end{columns} - - -\end{center} -\textref{JHEP 06 (2014) 133} -\vspace*{2.1cm} -\end{frame} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{BF measurements of $\PBs \to \Pphi \Pmu \Pmu$} -{~} -\begin{minipage}{\textwidth} - \begin{center} - \includegraphics[height=4cm]{images/bs2phipi.png} - \includegraphics[height=4cm]{images/BsSel.png} - \end{center} - -\begin{itemize} - -\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. -\item Angular part in agreement with SM ($S_5$ is not accessible). -\end{itemize} - - -\end{minipage} -\textref{JHEP09 (2015) 179} -\vspace*{2.1cm} -\end{frame} - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Measurements of $\PLambdab \to \PLambda \Pmu \Pmu$} -{~} -\begin{minipage}{\textwidth} - - \includegraphics[width=0.32\textwidth]{images/Lb_BR.png} \includegraphics[width=0.32\textwidth]{images/Lblow.png} -\includegraphics[width=0.32\textwidth]{images/Lbhigh.png} - - -\begin{itemize} - -\item In total $\sim 300$ candidates in data set. -\item Decay not present in the low $q^2$. -\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=0.7\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} -\textref{JHEP 06 (2015) 115} -\vspace*{2.1cm} -\end{frame} - - - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Lepton universality test} -{~} -\begin{minipage}{\textwidth} -\begin{columns} -\column{3.0in} - -\begin{itemize} - - -%\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=0.9\textwidth]{images/uni2.png} \\ - -\includegraphics[width=0.99\textwidth]{images/RK.png}\\ -%\includegraphics[width=0.99\textwidth]{{images/rk_}.png}\\ -\end{columns} -\includegraphics[width=0.85\textwidth]{{images/rk_}.png}\\ - - - -\end{minipage} -\textref{Phys. Rev. Lett. 113, 151601 (2014)} -\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{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} - -} -\end{minipage} -\textref{JHEP 04 (2015) 064} -\vspace*{2.1cm} -\end{frame} - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Theory implications} -{~} -\begin{minipage}{\textwidth} - -\begin{itemize} -\item A preliminary fit prepared by \texttt{S. Descotes-Genon, L. Hofer, J. Matias, J. Virto}. -\item Took into the fit: -\begin{itemize} -\item $\mathcal{B} ( \PB \to X_s \Pphoton) = (3.36 \pm 0.23) \times 10^{-4} $, Misiak et. al. 2015. -\item $\mathcal{B} ( \PB \to\Pmu \Pmu)$, theory: Bobeth et al 2013, experiment: LHCb+CMS average (2015) -\item $\mathcal{B} ( \PB \to X_s \Pmu \Pmu$), Huber et al 2015 -\item $\mathcal{B} ( \PB \to \PK \Pmu \Pmu$), Bouchard et al 2013, 2015 -\item $\PB_{(s)} \to \PKstar(\Pphi) \Pmu \Pmu$, Horgan et al 2013 -\item $\PB \to \PK \Pe \Pe$, $\PB \to \PKstar \Pe \Pe$ and $R_k$. -\end{itemize} -%\item Overall there is $>4~\sigma$ discrepancy wrt. SM. -\end{itemize} - - - - - -\end{minipage} -\textref{JHEP 06 (2016) 092} -\vspace*{2.1cm} -\end{frame} -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Theory implications} -{~} -\begin{minipage}{\textwidth} - -\begin{itemize} -\item A preliminary fit prepared by \texttt{S. Descotes-Genon, L. Hofer, J. Matias, J. Virto}. -\item The data can be explained by modifying the $C_9$ Wilson coefficient. -\item Overall there is $>4~\sigma$ discrepancy wrt. SM prediction. -\end{itemize} -\includegraphics[width=0.9\textwidth]{images/C9.png} - - - - -\end{minipage} -\textref{JHEP 06 (2016) 092} -\vspace*{2.1cm} -\end{frame} - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{If not NP?} -{~} -\begin{minipage}{\textwidth} -\begin{itemize} -\item We are not there yet! -\item There might be something not taken into account in the theory. -\item Resonances ($\PJpsi$, $\Ppsi(2S)$) tails can mimic NP effects. -\item There might be some non factorizable QCD corrections.\\ -'' However, the central value of this effect would have to be significantly larger than expected on the basis of existing estimates'' \texttt{D.Straub}, \href{http://arxiv.org/abs/1503.06199}{ {\color{blue}{arXiv::1503.06199}}} -. -\end{itemize} -\only<1>{ -\includegraphics[width=0.75\textwidth]{images/charmloop.png} - -} -\only<2>{ -\begin{center} -\includegraphics[width=0.6\textwidth]{images/charmloop2.png} -\end{center} -} - -\end{minipage} -\vspace*{2.1cm} -\end{frame} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{There is more!} -{~} -\begin{minipage}{\textwidth} - -\begin{itemize} -\item There is one other LUV decay recently measured by LHCb. -\item $R(\PDstar)=\dfrac{\mathcal{B}(\PB \to \PDstar \Ptau \Pnu)}{\mathcal{B}(\PB \to \PDstar \Pmu \Pnu)}$ -\item Clean SM prediction: $R(\PDstar)=0.252(3)$, {\color{blue}{PRD 85 094025 (2012)}} -\item LHCb result: $R(\PDstar)= 0.336 \pm 0.027 \pm 0.030$ -\item HFAG average: $R(\PDstar)=0.322 \pm 0.022$ -\item $4.0~\sigma$ discrepancy wrt. SM. -\end{itemize} - -\begin{center} - -\includegraphics[width=0.5\textwidth]{images/RDstar.png} - -\end{center} -\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}{Theory implications} -{~} - \begin{minipage}{\textwidth} - -\includegraphics[height=0.9\textheight]{images/table.png} - - -\end{minipage} - \vspace*{2.1cm} -\end{frame} - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{If not NP?} -{~} -\begin{minipage}{\textwidth} -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - -\begin{itemize} -\item How about our clean $P_i$ observables? -\item The QCD cancel as mentioned only at leading order. -\item Comparison to normal observables with the optimised ones. -\end{itemize} -\includegraphics[width=0.9\textwidth]{images/C9_S_P.png} - - -\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 (soft form factors): -{\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} - - -\backupend -\end{document} - - - - - - - diff --git a/Menu2016/mchrzasz2.toc b/Menu2016/mchrzasz2.toc deleted file mode 100644 index 429917f..0000000 --- a/Menu2016/mchrzasz2.toc +++ /dev/null @@ -1,5 +0,0 @@ -\boolfalse {citerequest}\boolfalse {citetracker}\boolfalse {pagetracker}\boolfalse {backtracker}\relax -\defcounter {refsection}{0}\relax -\beamer@endinputifotherversion {3.24pt} -\defcounter {refsection}{0}\relax -\select@language {english} diff --git a/Menu2016/mchrzasz_v2.pdf b/Menu2016/mchrzasz_v2.pdf deleted file mode 100644 index ea5f4da..0000000 --- a/Menu2016/mchrzasz_v2.pdf +++ /dev/null Binary files differ