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b/b2sll_barcelona/mchrzasz.pdf index 55757ec..d08687a 100644 --- a/b2sll_barcelona/mchrzasz.pdf +++ b/b2sll_barcelona/mchrzasz.pdf Binary files differ diff --git a/b2sll_barcelona/mchrzasz.snm b/b2sll_barcelona/mchrzasz.snm index e779981..3911154 100644 --- a/b2sll_barcelona/mchrzasz.snm +++ b/b2sll_barcelona/mchrzasz.snm @@ -1 +1 @@ -\beamer@slide {eq:physPars}{33} +\beamer@slide {eq:physPars}{40} diff --git a/b2sll_barcelona/mchrzasz.synctex.gz b/b2sll_barcelona/mchrzasz.synctex.gz index ca0a619..812311c 100644 --- a/b2sll_barcelona/mchrzasz.synctex.gz +++ b/b2sll_barcelona/mchrzasz.synctex.gz Binary files differ diff --git a/b2sll_barcelona/mchrzasz.tex b/b2sll_barcelona/mchrzasz.tex index bcbde7d..0f1108b 100644 --- a/b2sll_barcelona/mchrzasz.tex +++ b/b2sll_barcelona/mchrzasz.tex @@ -363,7 +363,7 @@ \item LHCb detector. \item Angular analysis of $\PBd \to \PKstar \Pmu \Pmu$. \item Other LHCb EWP measurements. -\item Glimps into the future. +\item Glimpse into the future. \end{enumerate} @@ -416,7 +416,7 @@ $\Rightarrow$ 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 $\sim 90\%$. +$B \to \PJpsi X $: Trigger $\sim 90\%$ efficient. \end{itemize} @@ -428,124 +428,10 @@ - - -\iffalse - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\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 - - - -\iffalse - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}\frametitle{Why rare decays?} - -\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}{Tools in rare $\PBzero$ decays} -{~} - \begin{minipage}{\textwidth} - -\begin{itemize} -\item \textbf{Operator Product Expansion and Effective Field Theory} -\end{itemize} -\begin{columns} -\column{0.1in}{~} -\column{3.2in} -\begin{footnotesize} - - -\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{footnotesize} -\column{2in} -\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{minipage} - \vspace*{2.1cm} -\end{frame} - -\fi - - \begin{frame}{Analysis of Rare decays} \begin{footnotesize} +\only<1>{ + %{\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. \\ @@ -597,6 +483,15 @@ $\bullet$ {\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 +} +\only<2> +{ +\begin{center} +\includegraphics[width=0.5\textwidth]{images/joke.jpg} +\end{center} + +} + \end{footnotesize} \end{frame} @@ -604,63 +499,6 @@ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\iffalse -%%%%%%%%%%%%%%%%%%%%5 -\begin{frame}{$\PBzero \to \PKstar \Pmuon \APmuon$, where it all begun} -{~} - \begin{minipage}{\textwidth} -\only<1>{ -\begin{columns} -\column{0.6\textwidth} - August 2013:\\ - - \includegraphics[width=0.95\textwidth]{images/P5prime.png} -\column{0.4\textwidth} -\begin{itemize} -\item LHCb observed a deviation in $4.3-8.68~\GeV^2$ using $1~\invfb$ of data. -\item It turned out that the discrepancy occurred in an observable that was not constrained. -\item $q^2$ is the dimuon invariant mass. - -\end{itemize} -\end{columns} - - -} - - - - -\only<2>{ - - -\begin{columns} -\column{0.6\textwidth} - August 2013:\\ - - \includegraphics[width=0.95\textwidth]{images/P5prime.png} -\column{0.4\textwidth} -\begin{itemize} -\item LHCb observed a deviation in $4.3-8.68~\GeV^2$ using $1~\invfb$ of data. -\item It turned out that the discrepancy occurred in an observable that was not constrained. - -\end{itemize} -\end{columns} - - -\begin{exampleblock}{} -Now let's move back and see the theory behind the $\PBzero \to \PKstar \Pmuon \APmuon$ and $P_5^{\prime}$. -\end{exampleblock} -} - -\end{minipage} - \vspace*{2.1cm} -\end{frame} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\fi - - - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{frame} @@ -757,26 +595,26 @@ \fi %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{Multivariate simulation} +\begin{frame}{Multivariate selection} + {~} - \begin{minipage}{\textwidth} +\begin{minipage}{\textwidth} \begin{columns} -\column{0.5\textwidth} +\column{0.55\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} +\item \href{http://arxiv.org/pdf/1512.04442v2.pdf}{{\color{blue}JHEP 1602 (2016) 104}} +\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} -\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} \\ +\column{0.45\textwidth} + +\includegraphics[angle=-90,width=0.88\textwidth]{images/Fig1.pdf} \\ \includegraphics[width=0.88\textwidth]{images/fold.png} \end{columns} @@ -784,34 +622,16 @@ \end{minipage} +\vspace*{2.1cm} \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} -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - +%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{frame}{Mass modelling} {~} \begin{minipage}{\textwidth} -\begin{footnotesize} +\begin{small} \begin{columns} \column{0.1in} @@ -832,7 +652,7 @@ \ARROW The S-wave fraction is extracted using a \texttt{LASS} model. \end{columns} -\end{footnotesize} +\end{small} \end{minipage} \vspace*{2.1cm} \end{frame} @@ -895,7 +715,7 @@ \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} @@ -968,7 +788,7 @@ \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. +\item Can have problem with low statistics. \end{itemize} \item Method of moments: \begin{itemize} @@ -1024,7 +844,8 @@ \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. +\item Result compatible with previous result; \href{http://arxiv.org/abs/1308.1707}{{ \color{blue}{Phys.Rev.Lett. 111 (2013) 191801}}} +\item SM: \href{http://arxiv.org/abs/1407.8526}{\color{blue}JHEP12(2014)125} \end{itemize} @@ -1037,21 +858,21 @@ \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} +\includegraphics[angle=-90,width=0.45\textwidth]{images/FLPad.pdf} +\includegraphics[angle=-90,width=0.45\textwidth]{images/S3Pad.pdf}\\ +\includegraphics[angle=-90,width=0.45\textwidth]{images/S4Pad.pdf} +\includegraphics[angle=-90,width=0.45\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} +\includegraphics[angle=-90,width=0.45\textwidth]{images/AFBPad.pdf} +\includegraphics[angle=-90,width=0.45\textwidth]{images/S7Pad.pdf}\\ +\includegraphics[angle=-90,width=0.45\textwidth]{images/S8Pad.pdf} +\includegraphics[angle=-90,width=0.45\textwidth]{images/S9Pad.pdf} } \end{center} - + \ARROW SM: \href{http://arxiv.org/abs/1411.3161}{ {\color{blue}Eur.Phys.J. C75 (2015) no.8, 382 }} \end{minipage} \vspace*{2.1cm} @@ -1127,7 +948,12 @@ \includegraphics[angle=-90,width=0.49\textwidth]{images/compare_S9Pad.pdf} } \only<3>{ -\includegraphics[angle=-90,width=0.75\textwidth]{images/S6cPad.pdf} +\includegraphics[angle=-90,width=0.75\textwidth]{images/S6cPad.pdf}\\ + +\begin{flushleft} +\ARROW LHCb also measured the CP asymmetries with Method of Moments and the likelihood fit that are consistent with SM +\end{flushleft} + } \end{center} @@ -1280,6 +1106,7 @@ \column{0.4\textwidth} \begin{itemize} \item Despite large theoretical errors the results are consistently smaller than SM prediction. +\item \href{http://arxiv.org/abs/1205.3422}{{ \color{blue}{JHEP 07 (2012) 133}}} \end{itemize} \column{0.6\textwidth} \includegraphics[width=0.87\textwidth]{images/bukst_BF.png} @@ -1306,7 +1133,7 @@ \end{center} \begin{itemize} -\item Recent LHCb measurement [JHEPP09 (2015) 179]. +\item Recent LHCb measurement \href{http://arxiv.org/abs/1506.08777}{{\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. @@ -1338,7 +1165,7 @@ \begin{itemize} -\item This years LHCb measurement [JHEP 06 (2015) 115]]. +\item Last years LHCb measurement [{\color{blue}JHEP 06 (2015) 115]}. \item In total $\sim 300$ candidates in data set. \item Decay not present in the low $q^2$. @@ -1376,7 +1203,7 @@ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{frame}{First observation of $\PBd \to \PKstar \Pmu \Pmu$} +\begin{frame}{First observation of $\PBd \to \pi \Pmu \Pmu$} {~} \begin{minipage}{\textwidth} \begin{columns} @@ -1384,8 +1211,8 @@ \begin{itemize} \item LHCb for the first time observed a CKM suppressed decay of $\PB \to \pi^{\pm} \Pmu \Pmu$ \item We observed $25 \pm 6$ events in $1~{ \rm fb }^{-1}$ data set. -\item Need to separate the a large peaking component: $\PB \to \PK^{\pm} \Pmu \Pmu$ form our signal window. -\item In the future we can expect more agresive physics program with this and similar channels $\mapsto$ see Kostas talk! +\item Need to separate a large peaking component: $\PB \to \PK^{\pm} \Pmu \Pmu$ form our signal window. +\item In the future we can expect more aggressive physics program with this and similar channels $\mapsto$ see Kostas talk! \end{itemize} \column{2in} \includegraphics[width=0.95\textwidth]{images/pimumu.png}\\ @@ -1402,7 +1229,6 @@ - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{frame}{Lepton universality test} {~} @@ -1418,6 +1244,8 @@ \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 $2.6\sigma$. +\item See more details in Rafaels and Martinos talks! + \end{itemize} \column{2.0in} @@ -1435,50 +1263,36 @@ - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{frame}{Angular analysis of $\PBzero \to \PKstar \Pe \Pe$} {~} -\only<1>{ \begin{minipage}{\textwidth} + +\only<1>{ \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. + \item \href{http://arxiv.org/abs/1501.03038}{{\color{blue}{JHEP04(2015)064}}} \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}\\ +\includegraphics[width=0.95\textwidth]{images/Kstee2.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} - +\iffalse \begin{center} \includegraphics[width=0.9\textwidth]{images/Kstee2.png} \end{center} - +\fi } +\end{minipage} \vspace*{2.1cm} \end{frame} + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{frame}{There is more!} {~} @@ -1552,6 +1366,8 @@ + + \backupbegin \begin{frame}\frametitle{Backup} @@ -1559,6 +1375,80 @@ \end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Angular analysis of $\PBzero \to \PKstar \Pe \Pe$} +{~} + \begin{minipage}{\textwidth} + +\only<1>{ + \begin{itemize} + \item With the full data set ($3\invfb$) we performed angular analysis in $0.0004 < q^2 <1~\GeV^2$. + \item \href{http://arxiv.org/abs/1501.03038}{{\color{blue}{JHEP04(2015)064}}} + \end{itemize} + + + +\begin{center} +\includegraphics[width=0.95\textwidth]{images/Kstee2.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} +\iffalse +\begin{center} +\includegraphics[width=0.9\textwidth]{images/Kstee2.png} +\end{center} +\fi +} +\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} + \backupend