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\author{ {\fontspec{Trebuchet MS}Marcin Chrz\k{a}szcz} (Universit\"{a}t Z\"{u}rich)}
\institute{UZH}
\title[$\PLambda \to \PLambda^{\ast}_c \mu \nu$ update]{$\PLambda \to \PLambda^{\ast}_c \mu \nu$ update}
\date{01 March 2016}


\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\fontspec{Trebuchet MS}\bfseries \Huge {$\PLambda \to \PLambda^{\ast}_c \mu \nu$ update}
		\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\\ \begin{small}Elena Graverini\\ Nicola Serra \end{small}} %\\\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}
\end{column}
\end{columns}

\vspace{1em}
%		\footnotesize\textcolor{gray}{With N. Serra, B. Storaci\\Thanks to the theory support from M. Shaposhnikov, D. Gorbunov}\normalsize\\
\vspace{0.5em}

	\textcolor{normal text.fg!50!Comment}{$R(\PLambda_c^{\ast})$ meeting, CERN\\March 04, 2016}
\end{center}
\end{frame}
}


\begin{frame}[c]{Reminder}
	\begin{minipage}{\textwidth}
$\Rrightarrow$ People reported that in case of $\PLambdab \to \PLambda_c \mu \nu$ decays there are asymmetric solution for the $\PLambdab$ momentum. 
\includegraphics[width=0.55\textwidth]{images/marcello.png}

$\Rrightarrow$ No one else have ever seen this in different decays so I started digging in.
	\end{minipage}
		\vspace*{2.cm}
\end{frame}


\begin{frame}[c]{How to calculate the $p(\PLambdab)$}
	\begin{minipage}{\textwidth}
	
	$\Rrightarrow$ One just needs to solve this equation:
	\begin{small}
	\begin{align*}
\left[ \left( \dfrac{\hat{p}(\PLambda_b) \cdot \overrightarrow{p}(\Lambda_c\mu)}{E(\Lambda_c\mu)} \right)^2-1 \right] p(\PLambdab)^2 \\ + \left[ \left(m(\PLambda_b)^2+m(\PLambda_c\mu)^2 \right) \dfrac{\hat{p}(\PLambdab) \cdot \overrightarrow{p}(\PLambda_c \mu)}{E(\PLambda_c \mu)^2} \right]  p(\PLambdab) \\ +  \left[ \left( \dfrac{m(\PLambdab)^2+m(\PLambda_c \mu)^2}{2E(\Lambda_c \mu)} \right)^2 - m(\PLambda_b)^2 \right]=0
	\end{align*}
		
	\end{small}
$\Rrightarrow$ The ambiguity comes from the fact that we do not know the direction of the $\nu$ in the $\PLambdab$ rest frame.

	\end{minipage}
		\vspace*{2.cm}
\end{frame}

\begin{frame}[c]{Generator level}
	\begin{minipage}{\textwidth}
$\Rrightarrow$ Simulate stand alone Pythia + EvtGen with detector acceptance.\\
\only<1>{
$\Rrightarrow$ $\PLambda_b \to \PLambda_c \mu \nu$:
\begin{center}
\includegraphics[width=0.45\textwidth]{images/gen/results.png}
\includegraphics[width=0.45\textwidth]{images/gen/results2.png}
\end{center}
$\Rrightarrow$ Fractions of correct solution: 0.516044, 0.483956
}
\only<2>{
$\Rrightarrow$ $\PLambda_b \to \PLambda_c(2595) \mu \nu$:
\begin{center}
\includegraphics[width=0.45\textwidth]{{images/gen/results_2595}.png}
\includegraphics[width=0.45\textwidth]{{images/gen/results2_2595}.png}
\end{center}
$\Rrightarrow$ Fractions of correct solution: 0.514349, 0.48565
}
\only<3>{
$\Rrightarrow$ $\PLambda_b \to \PLambda_c(2625) \mu \nu$:
\begin{center}
\includegraphics[width=0.45\textwidth]{{images/gen/results_2625}.png}
\includegraphics[width=0.45\textwidth]{{images/gen/results2_2625}.png}
\end{center}
$\Rrightarrow$ Fractions of correct solution: 0.515375 0.484625

$\Rrightarrow$ Generator has negligible asymmetries!
}
	\end{minipage}
		\vspace*{2.cm}
\end{frame}

\begin{frame}[c]{Reconstructed MC}
	\begin{minipage}{\textwidth}
$\Rrightarrow$ Full simulation after the stripping:
\only<1>{
$\Rrightarrow$ $\PLambda_b \to \PLambda_c \mu \nu$:
\begin{center}
\includegraphics[width=0.45\textwidth]{{images/reco/results2_0000}.png}
\includegraphics[width=0.45\textwidth]{{images/reco/results2_1000}.png}
\end{center}

$\Rrightarrow$ Left: using stripped events but with true informations.\\
$\Rrightarrow$ Right: using stripped events with true information besides $\PLambda_c$ momentum

$\Rrightarrow$ Fractions of correct solution: $60-40\%$
}

\only<2>{
$\Rrightarrow$ $\PLambda_b \to \PLambda_c \mu \nu$:
\begin{center}
\includegraphics[width=0.45\textwidth]{{images/reco/results2_1100}.png}
\includegraphics[width=0.45\textwidth]{{images/reco/results2_1111}.png}
\end{center}

$\Rrightarrow$ Left: using stripped events with true information besides $\PLambda_c$, $\mu$ momentum\\
$\Rrightarrow$ Right: using stripped events with true information besides $\PLambda_c$, $\mu$ momentum and $\PLambda_b$ direction.

$\Rrightarrow$ Fractions of correct solution: $60-40\%$
}



	\end{minipage}
		\vspace*{2.cm}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[c]{Warning on $\PLambda_b$ direction}
	\begin{minipage}{\textwidth}
$\Rrightarrow$ The $\PLambdab$ direction versor is calculated connecting the closest PV with the $\PLambda_b$ vertex\footnote{This is what is written in Syracuse ANA note}

\includegraphics[width=0.95\textwidth]{images/results_0.png}s
  

	\end{minipage}
		\vspace*{2.cm}
\end{frame}



\begin{frame}[c]{Warning on $\PLambda_b$ direction}
	\begin{minipage}{\textwidth}
$\Rrightarrow$ One should instead use the closes PV that is ''behind'' the $\PLambdab$ vertex. This increases the number of solutions by $25\%$. 

\includegraphics[width=0.95\textwidth]{images/results_1.png}
  

	\end{minipage}
		\vspace*{2.cm}
\end{frame}


\begin{frame}[c]{Warning on $\PLambda_b$ direction}
	\begin{minipage}{\textwidth}

$\Rrightarrow$ This requirement does not change the resolution when the solution exists.

\includegraphics[width=0.45\textwidth]{{images/reco/results2_1111}.png}
  \includegraphics[width=0.45\textwidth]{{images/reco/results2_1110}.png}

	\end{minipage}
		\vspace*{2.cm}
\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5

\begin{frame}[c]{Reconstructed MC}
	\begin{minipage}{\textwidth}
$\Rrightarrow$ Full simulation after the stripping:
\only<1>{
$\Rrightarrow$ $\PLambda_b \to \PLambda_c(2595) \mu \nu$:
\begin{center}
\includegraphics[width=0.45\textwidth]{{images/reco/results_25952_0000}.png}
\includegraphics[width=0.45\textwidth]{{images/reco/results_25952_1000}.png}
\end{center}

$\Rrightarrow$ Left: using stripped events but with true informations.\\
$\Rrightarrow$ Right: using stripped events with true information besides $\PLambda_c$ momentum

$\Rrightarrow$ Fractions of correct solution: $60-40\%$
}

\only<2>{
$\Rrightarrow$ $\PLambda_b \to \PLambda_c(2595) \mu \nu$:
\begin{center}
\includegraphics[width=0.45\textwidth]{{images/reco/results_25952_1100}.png}
\includegraphics[width=0.45\textwidth]{{images/reco/results_25952_1111}.png}
\end{center}

$\Rrightarrow$ Left: using stripped events with true information besides $\PLambda_c$, $\mu$ momentum\\
$\Rrightarrow$ Right: using stripped events with true information besides $\PLambda_c$, $\mu$ momentum and $\PLambda_b$ direction.

$\Rrightarrow$ Fractions of correct solution: $60-40\%$
}



	\end{minipage}
		\vspace*{2.cm}
\end{frame}



\begin{frame}[c]{Reconstructed MC}
	\begin{minipage}{\textwidth}
$\Rrightarrow$ Full simulation after the stripping:
\only<1>{
$\Rrightarrow$ $\PLambda_b \to \PLambda_c(2625) \mu \nu$:
\begin{center}
\includegraphics[width=0.45\textwidth]{{images/reco/results_26252_0000}.png}
\includegraphics[width=0.45\textwidth]{{images/reco/results_26252_1000}.png}
\end{center}

$\Rrightarrow$ Left: using stripped events but with true informations.\\
$\Rrightarrow$ Right: using stripped events with true information besides $\PLambda_c$ momentum

$\Rrightarrow$ Fractions of correct solution: $60-40\%$
}

\only<2>{
$\Rrightarrow$ $\PLambda_b \to \PLambda_c(2625) \mu \nu$:
\begin{center}
\includegraphics[width=0.45\textwidth]{{images/reco/results_26252_1100}.png}
\includegraphics[width=0.45\textwidth]{{images/reco/results_26252_1111}.png}
\end{center}

$\Rrightarrow$ Left: using stripped events with true information besides $\PLambda_c$, $\mu$ momentum\\
$\Rrightarrow$ Right: using stripped events with true information besides $\PLambda_c$, $\mu$ momentum and $\PLambda_b$ direction.

$\Rrightarrow$ Fractions of correct solution: $60-40\%$
}


	\end{minipage}
		\vspace*{2.cm}
\end{frame}



\begin{frame}[c]{Conclusions}
	\begin{minipage}{\textwidth}

\begin{itemize}
\item The MC generator is ok.
\item The is a constant (within $1\%$) 60:40 fraction in preferring the lower solution.
\item So it can be either reconstruction or stripping.
\item I think the stripping as when I replace the reconstructed quantity with the truth one I am getting a constant fraction of 60:40.
\item The only way to know is to run a cheated selection on MC and discover some idiot fuc.. the stripping line ;)
\end{itemize}


	\end{minipage}
		\vspace*{2.cm}
\end{frame}







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