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\author{ {M.Chrzaszcz} (UZH,IFJ)}
\institute{UZH}
\title[$\Lambda_c \to \Pproton \Pmu \Pmu$ Status and Plans]{$\Lambda_c \to \Pproton \Pmu \Pmu$ Status and Plans}
\date{30 January 2017}
\begin{document}
\tikzstyle{every picture}+=[remember picture]
{
\setbeamertemplate{sidebar right}{\llap{\includegraphics[width=\paperwidth,height=\paperheight]{bubble2}}}
\begin{frame}[c]%{\phantom{title page}}
\begin{center}
\begin{center}
\begin{columns}
\begin{column}{0.75\textwidth}
\flushright\bfseries \Huge {$\Lambda_c^+ \to \Pproton \Pmu \Pmu$ \\Status Update \\and Plans for future}
\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} { \large Marcin Chrzaszcz\\\vspace{-0.1em} }
\end{column}
\begin{column}{0.53\textwidth}
\includegraphics[height=1.3cm]{uzh-transp}
\end{column}
\end{columns}
\vspace{0.1em}
on behalf of the $\PLambdac \to \Pproton \Pmu \Pmu$ team:\\
\vspace{0.2em}
T.Lesiak(IFJ, Krakow), B.Nowak(IFJ, Krakow), M.Witek (IFJ, Krakow), \\
L.Pescatore(EPFL, Lousanne), M.Stamenkovic(EPFL, Lousanne), M.Martinelli(EPFL, Lousanne)
\vspace{0.4em}
\vspace{0.5em}
\textcolor{normal text.fg!50!Comment}{Analysis and Software Week, CERN\\April, 2017}
\end{center}
\end{frame}
}
\begin{frame}\frametitle{Topics covered in this presentation}
\begin{enumerate}
\item Physics of $\Lambda_c^+ \to \Pproton \Pmu \Pmu$
\item Pre-Selection.
\item MVA selection.
\item PID.
\item Normalization.
\item Systematics.
\item Expected limits.
\item Run2 extensions.
\end{enumerate}
\end{frame}
\begin{frame}\frametitle{Yellow pages}
\ARROW Review started on 31.03.2017.\\
\ARROW Reviewers: Tom Blake, Harry Cliff\\
\ARROW Twiki:\\
\href{https://twiki.cern.ch/twiki/bin/view/LHCbPhysics/Lc2PMuMu}{https://twiki.cern.ch/twiki/bin/view/LHCbPhysics/Lc2PMuMu }\\
\ARROW The newest version of the ANA note:\\
\href{https://twiki.cern.ch/twiki/pub/LHCbPhysics/Lc2PMuMu/LHCb-ANA-2016-15_v5.pdf}{CLIC}
\end{frame}
\begin{frame}\frametitle{Physics of $\Lambda_c^+ \to \Pproton \Pmu \Pmu$}
\ARROW $\Lambda_c^+ \to \Pproton \Pmu \Pmu$ is a FCNC in the charm sector:
\begin{center}
\includegraphics[width=0.3\textwidth]{images/diag.png}
\includegraphics[width=0.3\textwidth]{images/diag2.png}
\end{center}
\begin{columns}
\column{0.35\textwidth}
\ARROW SM prediction:
\begin{itemize}
\item Short distance $Br \sim \mathcal{O}(10^{-8})$
\item Long distance $Br \sim \mathcal{O}(10^{-6})$
\item Expected to improve by $\mathcal{O}(10^2)$
\end{itemize}
\column{0.65\textwidth}
\ARROW Current experimental situation:
\begin{itemize}
\item $Br(\Lambda_c^+ \to \Pproton \Pmu \Pmu) < 4.4 \times 10^{-5}$ at $90~\%\rm CL$ arXiv:1107.4465 (BaBar)
\end{itemize}
\begin{center}
\includegraphics[width=0.45\textwidth]{images/bab.png}
\end{center}
\end{columns}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
\begin{frame}\frametitle{Strategy}
\ARROW We follow the strategy of previous analysis: $\tau \to \mu \mu \mu$ and $\tau \to \Pproton \mu \mu$.\\
\ARROW Analysis based on $2011$ and $2012$ data sets.\\
\ARROW Blind the signal window: $\vert m_{p\mu\mu} - m_{\PLambdac}^{PDG} \vert < 40~\rm MeV$\\
\ARROW We start from stripping and loose pre-selection.\\
\ARROW MVA:
\begin{itemize}
\item Signal MC.
\item Background side-bands.
\end{itemize}
\ARROW k-Folding technique applied.\\
\ARROW Two BDT are used:
\begin{itemize}
\item BDT1 to first clean up the sample.
\item BDT2 to further increase the sensitivity.
\end{itemize}
\ARROW Final 3D optimization: $\rm (BDT2, ProbNNp, ProbNNmu)$.\\
\ARROW Calculate the UL with $\rm CL_s$.
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
\begin{frame}\frametitle{Trigger}
\ARROW We decided to based the analysis on muon triggers:
\begin{itemize}
\item L0
\begin{itemize}
\item Lambda\_cplus\_L0MuonDecision\_TOS
\item Lambda\_cplus\_L0DiMuonDecision\_TOS
\end{itemize}
\item HLT1
\begin{itemize}
\item Lambda\_cplus\_Hlt1TrackMuonDecision\_TOS
\item Lambda\_cplus\_Hlt1DiMuonLowMassDecision\_TOS
\item Lambda\_cplus\_Hlt1TrackAllL0Decision\_TOS
\end{itemize}
\item HLT2
\begin{itemize}
%%%% \item Lambda\_cplus\_Hlt2CharmSemilepD02HMuNu\_D02KMuNuDecision\_TOS";
\item Lambda\_cplus\_Hlt2CharmHadD2HHHDecision\_TOS;
\item Lambda\_cplus\_Hlt2DiMuonDetachedDecision\_TOS;
\item Lambda\_cplus\_Hlt2CharmSemilep3bodyD2KMuMuDecision\_TOS;
\item Lambda\_cplus\_Hlt2CharmSemilepD2HMuMuDecision\_TOS;
% \item Lambda\_cplus\_Hlt2TopoMu2BodyBBDTDecision\_TOS;
\end{itemize}
\end{itemize}
\end{frame}
\begin{frame}\frametitle{Stripping}
\begin{center}
\begin{tabular}{|c|c|}
\hline
\multicolumn{2}{|c|}{StrippingTau23MuTau2PMuMuLine}\\
\hline
Condition & ~~$\Lambda_c^+ \to \Pproton \Pmu \Pmu$~~\\
\hline
$\mu^\pm$ and $\Pproton$ & \\
$P_T$ & {$>300~\rm MeV/c$} \\
Track $\chi^2$/ndf & {$<3 $} \\
IP $\chi^2$/ndf & {$>9 $} \\
PID $\mu^\pm$ & PIDmu$ >$ -5 and (PIDmu - PIDK) $>$ 0 \\
PID $\Pproton$ & PIDp$>$10 \\
\hline
$\PLambdac$ & \\
$\Delta m$ & $<150\rm MeV/c^2$ \\
Vertex $\chi^2$ & {$<15$} \\
IP $\chi^2$ & {$<225 $} \\
$c\tau$ & {$>100\mu m$} \\
Lifetime fit $\chi^2$ & {$<225 $} \\
%\hline
%$m_{\mu^+\mu^-}$ & $> 450\mevcc$ \\
%$m_{\mu^+\mu^+}$ & $> 250\mevcc$ \\
\hline
\end{tabular}
\end{center}
\ARROW In Run2 we have a dedicated stripping/HLT2 lines for $\mu, e$ lepton flavours.
\end{frame}
\begin{frame}\frametitle{Futher preselection}
\begin{center}\begin{tabular}{|c|}
\hline
Common cuts \\
\hline
$m_{\mu\mu}$ $> 250~\rm MeV/c^2$ \\
proton $ProbNNp > 0.1 $ \\ % Podzielic te ciecia i op
$\mu^+,\mu^-$ $ ProbNNmu > 0.1 $ \\
$ 10~\rm GeV/c < p_{proton} < 100~\rm GeV/c $ \\
\hline
Signal channel \\
\hline
$\vert m_{\mu\mu}-m_{\omega} \vert$ $> 40~\rm MeV/c^2$ \\
$\vert m_{\mu\mu}-m_{\phi} \vert$ $> 40~\rm MeV/c^2$ \\
\hline
Normalization channel \\
\hline
$\vert m_{\mu\mu}-m_{\phi}\vert$ $< 35~\rm MeV/c^2$ \\
\hline
\end{tabular}\end{center}
\end{frame}
\begin{frame}\frametitle{MVA Selection 1/2}
\ARROW The BDT1 uses a small set of available variables related to $\PLambdac$ candidate:
\begin{itemize}
\item $\rm Lambda\_cplus\_IP\_OWNPV$
\item $\rm Lambda\_cplus\_IPCHI2\_OWNPV$
\item $\rm TMath::Exp(-1000*Lambda\_cplus\_TAU)$
\item $\rm Lambda\_cplus\_ENDVERTEX\_CHI2$
\item $\rm Lambda\_cplus\_PT$
\item $\rm Lambda\_cplus\_FD\_OWNPV$
\item $\rm Lambda\_cplus\_FDCHI2\_OWNPV$
\end{itemize}
\begin{center}
\includegraphics[angle=-90,width=0.45\textwidth]{{images/TMVA_2011_0_overtrain_BDT}.pdf}
%\includegraphics[angle=-90,width=0.45\textwidth]{{images/BDT_pre_bkg}.pdf}
\end{center}
\end{frame}
\begin{frame}\frametitle{MVA Selection 2/2}
\begin{center}
\begin{columns}
\column{0.5\textwidth}
\includegraphics[angle=-90,width=0.9\textwidth]{{images/BDT_pre_history}.pdf}
\column{0.5\textwidth}
\includegraphics[width=0.7\textwidth]{images/foldBDT1.png}
\end{columns}
\end{center}
\ARROW We choose a loose cut ($\rm BDT1>-0.1$) to clean up the sample:
\begin{center}
\includegraphics[width=0.8\textwidth]{images/BDT1norm1.png}\\
$\PLambda_c \to \Pproton \Pphi(\mu\mu)$%~~~~~~~~~~Blinded data.
\end{center}
\end{frame}
\begin{frame}\frametitle{Normalization}
\begin{columns}
\column{0.5\textwidth}
\ARROW $\PLambda_c \to \Pproton \Pphi(\mu\mu)$:
\begin{itemize}
\item Same final state!
\item Most of the systematics cancel in the ratio.
\item Kinematics difference will only remain.
\item Low Br: $Br(\PLambda_c \to \Pproton \Pphi(\mu\mu)) = (2.98 \pm 0.63) \times 10^{-7}$
\end{itemize}
\column{0.5\textwidth}
\ARROW $\PLambda_c \to \Pproton \pi \pi$:
\begin{itemize}
\item Different final state!
\item The systematics will not cancel in the ratio.
\item Need to understand the $\pi \pi$ spectrum.
\item High branching fraction: $Br(\PLambda_c \to \Pproton \pi \pi) = (4.3 \pm 2.3) \times 10^{-3}$
\end{itemize}
\end{columns}
\begin{exampleblock}{}
We have chosen the $\PLambda_c \to \Pproton \Pphi(\mu\mu)$ as normalization channel.
\end{exampleblock}
\end{frame}
\begin{frame}\frametitle{MVA Selection II}
\begin{itemize}
\item Added variables related to the daughter tracks.
\end{itemize}
\begin{center}
\begin{columns}
\column{0.5\textwidth}
\includegraphics[angle=-90,width=0.8\textwidth]{{images/Comparison_BDT_data_mc}.pdf}
\column{0.5\textwidth}
\includegraphics[width=0.7\textwidth]{images/BDT2folds.png}
\end{columns}
\end{center}
\begin{center}
\begin{columns}
\column{0.5\textwidth}
\includegraphics[angle=-90,width=0.8\textwidth]{{images/BDT_check_3mu_bkg_3}.pdf}
\column{0.5\textwidth}
\ARROW The BDT was checked against the correlation with mass on MC background.\\
\ARROW All cross-checks passed.
\end{columns}
\end{center}
\end{frame}
\begin{frame}\frametitle{PID}
\ARROW The PID in this analysis is done using re sampling the PID distributions.
\begin{columns}
\column{0.5\textwidth}
\begin{footnotesize}
\begin{itemize}
\item PIDCalib for muons does not cover the low $p_T$ muons $(10~\%)$ of the sample.
\item We used the $\PDs \to \pi \Pphi(\mu\mu)$.
\item The same procedure was used in the different analysis with this problem.
\item The sample is currently being included to the standard sample from the PID WG.
\end{itemize}
\end{footnotesize}
\column{0.5\textwidth}
\includegraphics[width=0.95\textwidth]{images/PID.png}
\end{columns}
\includegraphics[width=0.9\textwidth]{images/splot.png}
\end{frame}
\begin{frame}\frametitle{Optimization}
\begin{columns}
\column{0.6\textwidth}
\ARROW Optimization was performed on a TOY MC sample.\\
\ARROW The toys were generated using PDF from signal MC and sideband sample.\\
\ARROW Optimization was done on grid of points, using 100 TOYs peer point.\\
\ARROW $\rm CL_s$ was used as FOM.\\
\vspace{0.4em}
%\includegraphics[width=0.95\textwidth]{images/opt2.png}\\
\includegraphics[angle=-90,width=0.45\textwidth]{{images/Lc2pPhi5}.pdf}
\includegraphics[angle=-90,width=0.45\textwidth]{{images/expected_bck5}.pdf}
\begin{center}
\begin{tabular}{|c|c|}
\hline
Variable & Cut \\ \hline
BDT2 & $>0.0$\\
ProbNNp & $>0.68$\\
ProbNNmu & $>0.38$\\ \hline
\end{tabular}
\end{center}
\column{0.4\textwidth}
\includegraphics[width=0.95\textwidth]{{images/scan_ul}.pdf}
\end{columns}
\end{frame}
\begin{frame}\frametitle{Peaking backgrounds 1/2}
\ARROW There are several sources of peaking background:
\begin{footnotesize}
\begin{center}\begin{tabular}{|l|c|c|c|}
\hline
\hline
Resonance & BF$(\PLambdac \to \Pproton X)$ & BF$(X \to \mu\mu)$ & Total BF \\
\hline
\hline
$\eta$ & - & $(5.8 \pm 0.8)\times 10^{-6}$ & - \\
\hline
$\rho$ & - & $(4.55 \pm 0.28) \times 10^{-5}$ & - \\
\hline
$\omega$ & - & $(9.0 \pm 3.1) \times 10^{-5}$ & - \\
% \hline
% $f_{0}(980)$ & $ (3.8 \pm 2.5) \times 10^{-3}$ & - & - \\
\hline
$\phi$ & $(1.04 \pm 0.21)\times10^{-3}$ & $(2.87 \pm 0.19)\times 10^{-4}$ & $(2.98 \pm 0.63)\times 10^{-7}$ \\
% & & & \\
\hline
\hline
Resonance & BF$(\PLambdac \to \Pproton X)$ & BF$(X \to \mu\mu\gamma)$ & Total BF \\
\hline
\hline
$\eta$ & - & $(3.1 \pm 0.4)\times 10^{-4} $ & - \\
\hline
$\eta^{,}$ & - & $ (1.08 \pm 0.27)\times 10^{-4}$ & - \\
\hline
\hline
\end{tabular}
\end{center}
\end{footnotesize}
\ARROW Unfortunately not all of the BF are known...\\
\ARROW We took the adequate decay of $\PD$ mesons. We ended up with BF $\mathcal{O}(10^{-9})$ for not vetoed decays, which is much below our sensitivity (see further slides). \\
\end{frame}
\begin{frame}\frametitle{Peaking backgrounds 2/2}
\ARROW The other peaking background is a harmonic decay $\PLambdac \to \Pproton \pi \pi$.\\
\begin{columns}
\column{0.6\textwidth}
\ARROW Estimated from MC sample\\
\ARROW Used the resampled PID response.\\
\ARROW Observed number of events in the signal window.
\includegraphics[angle=-90,width=0.9\textwidth]{{images/mass_bkg_p2pi}.pdf}
\column{0.4\textwidth}
\includegraphics[width=0.9\textwidth]{images/ppipi.png}
\end{columns}
\vspace{0.4em}
\ARROW Estimated: $N_{\PLambdac \to \Pproton \pi \pi}=1.96 \pm 1.13$\\
\ARROW Took into account in background estimation.
\end{frame}
\begin{frame}\frametitle{Normalization}
\ARROW Master equation:
\begin{equation}
{\frac{Br(\PLambda_c \to \Pproton \mu\mu)}{Br(\PLambda_c \to \Pproton \Pphi(\mu\mu))} =
\frac{\rm
{\epsilon\mathstrut_{norm}}^{TOT}
}{\rm
{\epsilon\mathstrut_{sig}}^{TOT}
}
\times\frac{N_{\rm sig}}{N_{\rm norm}}, } \nonumber
\label{eq:normalization}
\end{equation}
where
\begin{equation}
{\frac{\rm {\epsilon\mathstrut_{norm}}^{TOT} }{\rm {\epsilon\mathstrut_{sig}}^{TOT}}}
=
{\frac{\rm {\epsilon\mathstrut_{norm}}^{STRIP}}{\rm {\epsilon\mathstrut_{sig}}^{STRIP}}}
\times
{\frac{\rm {\epsilon\mathstrut_{norm}}^{COMM}}{\rm {\epsilon\mathstrut_{sig}}^{COMM}}}
\times
{\frac{\rm {\epsilon\mathstrut_{norm}}^{SPEC}}{\rm {\epsilon\mathstrut_{sig}}^{SPEC}}}\nonumber
\end{equation}
\begin{columns}
\column{0.8\textwidth}
\ARROW Signal window divided in 6 equal bins ($7~\rm MeV/c^2$)\\
\ARROW Many of the ratios close to one:
\column{0.2\textwidth}
\includegraphics[width=0.95\textwidth]{images/bins.png}
\end{columns}
\end{frame}
\begin{frame}\frametitle{Systematics}
%\ARROW The analysis is statistically dominated:
\begin{center}\begin{tabular}{lc}
\hline
Uncertainty source & Value \\
\hline
Efficiency ratio $R_{strip}$ (statistical) & 0.2 \% \\
Efficiency ratio $R_{comm}$ (statistical) & 3.37 \% \\
Efficiency ratio $R_{comm}$ (BDT2 cut) & 0.4 \% \\
Efficiency ratio $R_{comm}$ (PIDCalib samples) & 0.71 \% \\
Width of the signal peak & 0.55 \% \\
Yield of normalization channel & 11.8 \% \\
Dedicated PID resampling & 0.26 \% \\
${\PLambda_c \to \Pproton \Pphi(\mu\mu)}$ & 21.5 \% \\
Variation of signal decay model & 15.3 \% \\
\hline
\end{tabular}\end{center}
\end{frame}
\begin{frame}\frametitle{Expected limits}
\ARROW Putting all together one gets:
\begin{center}
\includegraphics[angle=-90,width=0.45\textwidth]{images/br90rel.pdf}
\includegraphics[angle=-90,width=0.45\textwidth]{images/br90abs.pdf}\\
\begin{exampleblock}{The expected limits:}
$Br(\PLambda_c \to \Pproton \mu\mu) < 5.9 \times 10^{-8}$ at $90\%$ CL
\end{exampleblock}
\ARROW The RC started looking at the ANA note.
\end{center}
\end{frame}
\begin{frame}\frametitle{Run 2 plans}
\begin{columns}
\column{0.6\textwidth}
\ARROW We already started working on Run2 analysis.\\
\ARROW The program is expanding:
\begin{itemize}
\item $Br(\PLambdac \to \Pproton \Pphi)$
\item $Br(\PLambdac \to \Pproton \mu \mu)$
\item $R(\PLambdac)=\frac{Br(\PLambdac \to \Pproton \mu \mu)}{Br(\PLambdac \to \Pproton e e)}$
\item LFV: $\PLambda_c \to \Pproton \mu e$
\item and maybe more ideas?
\end{itemize}
\column{0.4\textwidth}
\includegraphics[angle=-90,width=0.9\textwidth]{images/EPFL1.pdf}\\
\includegraphics[angle=-90,width=0.9\textwidth]{images/EPFL2.pdf}
\end{columns}
\begin{exampleblock}{}
\ARROWR $\PLambdac$ is a exciting system that is not fully explored!\\
\ARROWR We have a rich physics program to be studied with Run2 data.
\end{exampleblock}
\end{frame}
\backupbegin
\begin{frame}\frametitle{Backup}
\topline
\end{frame}
\backupend
\end{document}
Marcin Chrzaszcz