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\def\LcTopmumu{\Lambda_c^{+} \to p \mu^+ \mu^-}
\def\Lc{\Lambda_c^{+}}
\def\mumu{\mu\mu}
\newcommand{\BRof}[1]{\ensuremath{{\cal B}(#1)}\xspace}
\def\LcTopphi{\Lc \to p \Pphi (\mumu)}
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\author{ {Marcin Chrzaszcz} (CERN)}
\institute{UZH}
\title[Search for the $\Lambda_c^{+} \to p \mu^+ \mu^-$ decay ]{Search for the $\Lambda_c^{+} \to p \mu^+ \mu^-$ decay }
\date{25 September 2014}
\begin{document}
\tikzstyle{every picture}+=[remember picture]
{
\setbeamertemplate{sidebar right}{\llap{\includegraphics[width=\paperwidth,height=\paperheight]{bubble2}}}
\begin{frame}[c]%{\phantom{title page}}
\begin{center}
\begin{center}
\begin{columns}
\begin{column}{0.75\textwidth}
\flushright \bfseries \Large {Search for the suppressed $\Lambda_c^{+} \to p \mu^+ \mu^-$ decay and observation of the $\Lambda_c^{+} \to p \omega$ decay}
\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{-2.8em} { \fontspec{Zapfino} Marcin Chrzaszcz\\\vspace{-0.1em}\small \href{mailto:mchrzasz@cern.ch}{mchrzasz@cern.ch}}
\end{column}
\begin{column}{0.53\textwidth}
\hspace{2.0cm}
\includegraphics[height=1.6cm]{cern}
\end{column}
\end{columns}
\vspace{1em}
\footnotesize{\large With M. Jezabek, T. Lesiak, B. Nowak, M. Witek (IFJ PAN)}
\vspace{0.5em}
\textcolor{normal text.fg!50!Comment}{Tuesday meeting, CERN\\September 26, 2017}
\end{center}
\end{frame}
}
\begin{frame}{Yellow pages}
\vspace{0.5em}
\begin{minipage}{\textwidth}
\ARROW Reviewers: Tom Blake(chair), Harry Cliff, Simon Eydelman(EB)\\
\ARROW Twiki:\\
\href{https://twiki.cern.ch/twiki/bin/viewauth/LHCbPhysics/Lc2PMuMu}{\url{https://twiki.cern.ch/twiki/bin/viewauth/LHCbPhysics/Lc2PMuMu}}\\
\ARROW Review start: 31.03.2017\\
\ARROW Fruitfull interactions with the review committee. \\
\ARROW Unblinding: 18.07.2017\\
\ARROW Minor changes to the analysis during the review.\\
\begin{center}
We would like to take this occasion and than Tom, Harry and Simon for fruitful, constructive and smooth review!
\end{center}
\end{minipage}
\vspace*{2.cm}
\end{frame}
\begin{frame}{Motivation}
\vspace{0.5em}
\begin{minipage}{\textwidth}
\begin{columns}
\column{0.1in}
{~}\\
\column{3in}
\vspace{0.5em}
\ARROW SM predictions:\\
~~~~~~$\mathcal{O}(10^{-8})$\\
\ARROW Long distance effects:\\
~~~~~~$\mathcal{O}(10^{-6})$\\
~~~~\\
\ARROW Previous measurement done by Babar:\\
~~${\rm Br}(\Lambda_c^{+} \to p \mu^+ \mu^-) < 4.4\cdot 10^{-5}$ at 90\% CL\\
\begin{center}
\includegraphics[width=0.65\textwidth]{images/babar.png}\\
\end{center}
\column{2in}
\includegraphics[width=0.95\textwidth]{images/indeks1.jpg}\\
\includegraphics[width=0.95\textwidth]{images/indeks2.jpg}\\
\begin{exampleblock}{}
Should be able to improve by \\a factor of 100!
\end{exampleblock}
\end{columns}
\end{minipage}
\vspace*{2.cm}
\end{frame}
\begin{frame}{Analysis strategy}
\vspace{0.5em}
\begin{minipage}{\textwidth}
\ARROW Normalization to $\Lambda_c^+ \to p \phi(\mu\mu)$.\\
\ARROW Typical steps rare decays:
\begin{itemize}
\item Loose stripping selection.
\item BDT1 used for first preselection.
\item BDT2 used to further suppress the background.
\item PID used to fight the peaking background.
\end{itemize}
\ARROW Search performed in several dimuon mass windows.\\
\ARROW Selection optimized on $\rm CL_s$.\\
\ARROW Unblinding and calculate the UL of BR using $\rm CL_s$.
\pause
\begin{center}
\includegraphics[width=0.5\textwidth]{images/blind.jpg}
\end{center}
\end{minipage}
\vspace*{2.cm}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{Normalization channel}
\vspace{0.5em}
\begin{minipage}{\textwidth}
\begin{columns}
\column{0.1in}
{~}\\
\column{3in}
{\Large Use the $\Lambda_c^{+} \to p \phi(\mu\mu)$.}\\
\ARROW Same final state, same selection, a lot of systematics cancel.\\
\ARROWR The Branching fraction of $\Lambda_c^{+} \to p \phi$ is known with $22~\%$.
{\Large Use the $\Lambda_c^{+} \to p K \pi$.}\\
\ARROW More precisely known branching fraction (precision: $6.4~\%$).\\
\ARROWR A lot of additional systematics due to different final states, different selections
\column{2in}
\only<1>{
\includegraphics[width=0.9\textwidth]{images/quovadis.jpg}
}
\only<2>{
\includegraphics[width=0.9\textwidth]{images/quovadis2.jpg}
}
\end{columns}
\begin{exampleblock}{We choose the $\Lambda_c^{+} \to p \phi(\mu\mu)$ option}
\ARROWR In the most optimistic scenario where you assume the $22~\%$ systematic to go town to $6.4~\%$ the UL. \\
In this case the UL gets worse $7.8~\%$.
\end{exampleblock}
\end{minipage}
\vspace*{2.cm}
\end{frame}
\begin{frame}{Data sets and Stripping}
\vspace{0.5em}
\begin{minipage}{\textwidth}
\ARROW 2011+2012 (aka Run1) Stripping 20.\\
\begin{center}
\begin{tabular}{|c|c|}
\hline
Condition & ~~$\LcTopmumu$~~\\
\hline
$\mu^{\pm}$ and $p$ & \\
$\pt$ & {$>300\mevc$} \\
Track $\chi^2$/ndf & {$<3 $} \\
IP $\chi^2$/ndf & {$>9 $} \\
PID $\mu^\pm$ & PIDmu$ >$ -5 and (PIDmu - PIDK) $>$ 0 \\
PID p & PIDp$>$10 \\
\hline
$\Lc$ & {~} \\
$\Delta m$ & $<150\mevcc$ \\
Vertex $\chi^2$ & {$<15$} \\
IP $\chi^2$ & {$<225 $} \\
$c\tau$ & {$>100\rm \mu m$} \\
Lifetime fit $\chi^2$ & {$<225 $} \\
%\hline
%$m_{\mu^+\mu^-}$ & $> 450\mevcc$ \\
%$m_{\mu^+\mu^+}$ & $> 250\mevcc$ \\
\hline
\end{tabular}
\end{center}
\end{minipage}
\vspace*{2.cm}
\end{frame}
\begin{frame}{Preselection}
\vspace{0.5em}
\begin{minipage}{\textwidth}
\ARROW Additional cuts:
\begin{center}\begin{tabular}{|c|}
\hline
Common cuts \\
\hline
$m_{\mumu}$ $< 1400~\mevcc$ \\
proton $ProbNNp > 0.1 $ \\ % Podzielic te ciecia i opisac gdzie t
$\mu^+,\mu^-$ $ ProbNNmu > 0.1 $ \\
$ 10~\gevc < p_{proton} < 100~\gevc $ \\
\hline
\end{tabular}\end{center}
\ARROW We define couple of dimuom mass regions:
\begin{center}
\begin{tabular}{|c | c|}
\hline
$m(\mu\mu)$ region & $\left[ \mevcc \right]$\\ \hline
$\phi$ region & $\left[985, 1055\right]$\\
$\omega$ region & $\left[759 , 805\right]$\\
{\it{non resonant} } & $\left[210, 747 \right] \cup \left[817, 980 \right] \cup \left[1060, 1400\right]$ \\ \hline
\end{tabular}
\end{center}
\end{minipage}
\vspace*{2.cm}
\end{frame}
\begin{frame}{Trigger}
\vspace{0.5em}
\begin{minipage}{\textwidth}
\vspace{0.5em}
\ARROW We require the following triggers (all are TOS):
\begin{itemize}
\item L0
\begin{itemize}
\item L0MuonDecision
\end{itemize}
\item HLT1
\begin{itemize}
\item Hlt1TrackMuonDecision
\item Hlt1DiMuonLowMassDecision
\item Hlt1TrackAllL0Decision
\end{itemize}
\item HLT2
\begin{itemize}
\item Hlt2DiMuonDetachedDecision
\item Hlt2CharmSemilep3bodyD2KMuMuDecision
\item Hlt2CharmSemilepD2HMuMuDecision
\end{itemize}
\end{itemize}
\ARROW The TIS increase the signal yield by $<10~\%$ and were asked to be removed at the WG review stage.
\end{minipage}
\vspace*{2.cm}
\end{frame}
\begin{frame}{BDT1 training}
\vspace{0.5em}
\begin{minipage}{\textwidth}
\vspace{0.5em}
\begin{columns}
\column{0.1in}
{~}\\
\column{3in}
\ARROW The normalization channel is also a rather ``rare decay'':\\
${\rm Br}(\Lambda_c^+ \to p \phi) \cdot {\rm Br}(\phi \to \mu \mu) = 3.1 \cdot 10^{-7}$\\
\ARROW After the previous preselection a simple BDT is trained using variables that are well simulated in the MC. k-folding used ($k=10$)
\ARROW The BDT1 (not surprisingly) likes the prompt $\Lambda_c$ rather the secondary ones.
\begin{center}
\includegraphics[angle=-90,width=0.7\textwidth]{images/BDT_pre_history.pdf}
\end{center}
\column{2in}
\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_BDT1_2011.pdf} \\
\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_BDT1_2012.pdf} \\
\end{columns}
\end{minipage}
\vspace*{2.cm}
\end{frame}
\begin{frame}{BDT1 selection}
\vspace{0.5em}
\begin{minipage}{\textwidth}
\ARROW The selection based on BDT1 is not optimised.\\
\ARROW A loose cut:
\begin{equation}
{\rm BDT1} > -0.1 \nonumber
\end{equation}
\begin{center}
\includegraphics[angle=-90,width=0.49\linewidth]{images//Lc2pPhi5_pre.pdf}
\includegraphics[angle=-90,width=0.49\linewidth]{images/expected_bck5_pre.pdf}
\end{center}
\ARROW The normalization channel peak is observed.
\end{minipage}
\vspace*{2.cm}
\end{frame}
\begin{frame}{BDT2 selection}
\vspace{0.5em}
\begin{minipage}{\textwidth}
\begin{columns}
\column{0.1in}
{~}\\
\column{3in}
\ARROW Variables used:
\begin{footnotesize}
\begin{itemize}
\item
flight distance - the one between the production and decay points.
\item
$\chi^2$ of flight distance,
\item
transformed decay time - $T=\exp{(-1000 \cdot \tau / {\mathrm{ns}})}$,
\item
IP - impact parameter with respect to primary vertex,
\item
$\chi^2$ of IP of $\Lc$
\item
$\log(\chi^2_{DTF})$,
\item
$p_T$ - transverse momentum of $\Lc$,
\item
minimum of $\chi^2$ of $p$, $\mu^+$, $\mu^-$ w.r.t. primary vertex,
\item
transverse momenta
\item
minimum of $\chi^2$/NDF of track fit of $p$, $\mu^+$, $\mu^-$.
\end{itemize}
\end{footnotesize}
\column{2in}
\vspace{3.0em}
\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_BDT2_2011.pdf} \\
\includegraphics[angle=-90,width=0.95\textwidth]{images/compare_BDT2_2012.pdf} \\
\vspace{3.0em}
{~}
\end{columns}
\end{minipage}
\vspace*{2.cm}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{BDT2}
\vspace{0.5em}
\begin{minipage}{\textwidth}
\begin{columns}
\column{0.02\textwidth}
{~}\\
\column{0.48\textwidth}
\begin{small}
\ARROW After correcting the DATA/MC differences the BDT distribution shows a good DATA/MC agreement.\\
\ARROW No mass correlation observed.
\end{small}
\includegraphics[angle=-90,width=0.95\textwidth]{images/mBDT2_profile.pdf}
\column{0.48\textwidth}
\includegraphics[angle=-90,width=0.95\textwidth]{images/Comparison_BDT_data_mc_shifted.pdf}
\includegraphics[angle=-90,width=0.95\textwidth]{images/BDT_check_3mu_bkg_1.pdf}
\column{0.02\textwidth}
{~}\\
\end{columns}
\end{minipage}
\vspace*{2.cm}
\end{frame}
\begin{frame}{PID}
\vspace{0.5em}
\begin{minipage}{\textwidth}
\begin{small}
\ARROW MC resampling is choose to correct the PID distributions:\\
For MC samples the ProbNNp and ProbNNmu are drawn from the PIDCalib distributions.\\
\begin{columns}
\column{0.5\textwidth}
\ARROWR The PIDCalib doesn't cover the low $\pt$ region for muons ($10\%$).\\
\ARROWR Decided to use for them the $D_s \to \phi(\mu\mu)$ sample.\\
\includegraphics[angle=-90,width=0.95\textwidth]{images/Comparison_ProbNNmu_data_mc.pdf}
\column{0.5\textwidth}
\includegraphics[angle=-90,width=0.95\textwidth]{images/effmu_pid.pdf}\\
\includegraphics[angle=-90,width=0.95\textwidth]{images/Comparison_ProbNNp_data_mc.pdf}
\end{columns}
\end{small}
\end{minipage}
\vspace*{2.cm}
\end{frame}
\begin{frame}{Selection optimization}
\vspace{1.5em}
\begin{minipage}{\textwidth}
\begin{small}
\begin{columns}
\column{0.01\textwidth}
{~}\\
\column{0.68\textwidth}
\ARROW The final selection of the analysis is optimized!\\
\ARROW $\rm CL_s$ method used.\\
\ARROW Toy experiment used to find the optimum.
{~}\\
\begin{center}\begin{tabular}{lc}
\hline
Variable & Condition \\
\hline
BDT & $> 0.0$ \\
$ProbNNp(p)$ & $> 0.68$ \\
minimum $ProbNNmu(\mu^{\pm})$ & $> 0.38$ \\
\hline
\end{tabular}\end{center}
\includegraphics[angle=-90,width=0.5\linewidth]{images/Lc2pPhi5.pdf}
\includegraphics[angle=-90,width=0.5\linewidth]{images/expected_bck5.pdf}
\column{0.3\textwidth}
\includegraphics[width=0.99\textwidth]{images/scan_ul.pdf}
\column{0.01\textwidth}
\end{columns}
\end{small}
\end{minipage}
\vspace*{2.cm}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{Peaking backgrounds}
\vspace{1.5em}
\begin{minipage}{\textwidth}
\begin{columns}
\column{0.6\textwidth}
\ARROW The tight PID cuts essentially kill the peaking bkg!\\
\ARROW The only bkg left is the $\Lambda_c^{+} \to p \pi \pi$.\\
\begin{center}
\includegraphics[angle=-90,width=0.80\linewidth]{images/mass_bkg_p2pi.pdf}
\end{center}
\ARROW Estimated contamination: \\$1.96 \pm 1.13$ \ARROWR assigned as systematic
\column{0.4\textwidth}
\begin{center}
\includegraphics[angle=-90,width=0.99\linewidth]{images/ref_Lc2pmumu.pdf} \\
\includegraphics[angle=-90,width=0.99\linewidth]{images/ref_Lc2ppipi.pdf} \\
\includegraphics[angle=-90,width=0.99\linewidth]{images/ref_Lc2pkpi.pdf} \\
\includegraphics[angle=-90,width=0.99\linewidth]{images/ref_Ds2kmumu.pdf} \\
\includegraphics[angle=-90,width=0.99\linewidth]{images/ref_Dp2kpipi.pdf}
\vspace*{-1.0cm}
\end{center}
\end{columns}
\end{minipage}
\vspace*{2.cm}
\end{frame}
\begin{frame}{Normalization}
\vspace{1.5em}
\begin{minipage}{\textwidth}
\ARROW The gold equation:
\begin{equation*}
{\frac{\BRof\LcTopmumu}{\BRof\LcTopphi} =
\frac{\rm
{\epsilon\mathstrut_{norm}}^{TOT}
}{\rm
{\epsilon\mathstrut_{sig}}^{TOT}
}
\times\frac{N_{\rm sig}}{N_{\rm norm}}, }
\label{eq:normalization}
\end{equation*}
\ARROW We take advantage of the cancellation that:
\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}}} ,~~ {\frac{\rm {\epsilon\mathstrut_{norm}}^{i}}{\rm {\epsilon\mathstrut_{sig}}^{i}}} \simeq 1
\label{eq:effprod}
\end{equation*}
\begin{columns}
\column{0.02\textwidth}
\column{0.56\textwidth}
\ARROW In addition we have added 6 mass bins to increase the sensitivity.\\
\ARROW Signal is modelled by a double Crystall Ball.
\column{0.4\textwidth}
\includegraphics[width=0.85\textwidth]{images/massbin.png}
\column{0.02\textwidth}
\end{columns}
\end{minipage}
\vspace*{2.cm}
\end{frame}
\begin{frame}{Expected background}
\vspace{1.5em}
\begin{minipage}{\textwidth}
\begin{small}
\begin{columns}
\column{0.02\textwidth}
\column{0.48\textwidth}
\ARROW Background modelled with a linear function.\\
\includegraphics[width=0.9\linewidth]{images/expected_bck5_obs_with_signal1.pdf}
\column{0.48\textwidth}
\begin{center}\begin{tabular}{|c|c|}
\hline
bin & no events \\
\hline
bin1 & $ 8.56136 \pm 0.540302 $ \\
bin2 & $ 8.60318 \pm 0.536917 $ \\
bin3 & $ 8.64582 \pm 0.536561 $ \\
bin4 & $ 8.6887 \pm 0.539208 $ \\
bin5 & $ 8.7304 \pm 0.544752 $ \\
bin6 & $ 8.77226 \pm 0.553162 $ \\
\hline
\end{tabular}\end{center}
\column{0.02\textwidth}
\end{columns}
\begin{columns}
\column{0.6\textwidth}
\includegraphics[angle=-90,width=0.49\linewidth]{images/br90rel.pdf}
\includegraphics[angle=-90,width=0.49\linewidth]{images/br90abs.pdf}
\column{0.4\textwidth}
\ARROW Expected upper limits:
$\BRof\LcTopmumu < 5.91 \times 10^{-8}$ at 90~\% CL
\end{columns}
\end{small}
\end{minipage}
\vspace*{2.cm}
\end{frame}
\begin{frame}{Observed Upper limits}
\vspace{1.5em}
\begin{minipage}{\textwidth}
\begin{columns}
\column{0.6\textwidth}
\ARROW After the green light from RC we have unblinded; no significant access of events have been observed.
\ARROW We have set an UL:
\begin{equation*}
\BRof\LcTopmumu < 7.68 \times 10^{-8}~ \rm at 90~\%~CL
\end{equation*}
\column{0.4\textwidth}
\includegraphics[angle=-90,width=0.9\linewidth]{images/expected_bck5_obs_with_signal.pdf}
\end{columns}
\includegraphics[angle=-90,width=0.45\linewidth]{images/br90rel_obs.pdf}
\includegraphics[angle=-90,width=0.45\linewidth]{images/br90abs_obs.pdf}
\end{minipage}
\vspace*{2.cm}
\end{frame}
\begin{frame}{By product :)}
\vspace{1.5em}
\begin{minipage}{\textwidth}
\begin{columns}
\column{0.5\textwidth}
\ARROW We also looked at the $\omega$ dimuon region.\\
\begin{exampleblock}{We observed an access}
Using Wilks theorem we have calculated the singificance to be $5.0~\sigma$!
\end{exampleblock}
\ARROW This is the first observation of this decay!!!\\
$\BRof\Lcpomegano = (7.6 \pm 2.6~(stat) \pm 0.9~(syst1) \pm 3.1~(syst2) )~\times 10^{-4}$
\column{0.5\textwidth}
\includegraphics[angle=-90,width=0.99\textwidth]{images/Lc2pomega_DATA_mass_sel.pdf}\\
\includegraphics[angle=-90,width=0.99\textwidth]{images/mumu_mass_fit_sel.pdf}
\end{columns}
\end{minipage}
\vspace*{2.cm}
\end{frame}
\begin{frame}{Conclusion}
\vspace{1.5em}
\begin{minipage}{\textwidth}
\begin{itemize}
\item Improved the UL for $\BRof\LcTopmumu$ by two orders of magnitude!\\
\pause
\includegraphics[width=0.5\textwidth]{images/mr_bean_laboratory.jpg}
\item First time observed the decay $\Lcpomegano$!!
\item Paper is beeing prepared, aiming PRL
\item We would like to ask the collaboration for approving this analysis.
\end{itemize}
\begin{center}
\end{center}
\end{minipage}
\vspace*{2.cm}
\end{frame}
\backupbegin
\begin{frame}\frametitle{Backup}
\topline
\end{frame}
\backupend
\end{document}
Marcin Chrzaszcz