--- ttbar/p20_taujets_note/TriggParam.tex 2011/05/18 21:30:39 1.1.1.1 +++ ttbar/p20_taujets_note/TriggParam.tex 2011/06/01 01:20:54 1.2 @@ -1,38 +1,39 @@ -\section{Trigger Parametrization \label{sec:trig_param}} +\section{Trigger modeling\label{sec:trig_param}} As aforementioned the trigger used in this analysis is JT2$\_$3JT15L$\_$IP$\_$VX. -In both v15 and v16 trigger versions, this trigger has 4 terms at level 2. Currently, only -three of these, the L2 $H_{T}$, missing $E_{T}$ ($\not\!\! E_{T}$) and -sphericity based branches have been modelled by the $hbb$ group \cite{bIDH_note}. Therefore -these are the ones used in this analysis. The missing term is the acoplanarity term, namely, +For both the v15 and v16 trigger versions, this trigger has four terms at level 2. Three +of these, the L2 $H_{T}$, missing $E_{T}$ ($\not\!\! E_{T}$) and +sphericity based branches have been modelled for the $h \rightarrow b\bar{b}$ analysis \cite{bIDH_note}. We +use those in this analysis. The missing term is the acoplanarity term, namely, L2JET(1,20,2.4) L2HT(35,6) MJT(20,10) L2ACOP(168.75), which is the same in both -v15 and v15 trigger lists. +v15 and v16 trigger lists. Table \ref{tabtrigcond} shows the L1, L2 and L3 requirements of the trigger. -In its work, the $hbb$ group has parametrized the trigger in three instantaneous luminosity -($10^{32}$)regions: low ($L_{int} <$ 77 ), medium ( 77 $\leq L_{int} <$ 124 ) and -high ( $L_{int} \geq 124$ ). The final goal is to measure the total trigger efficiency for our events. In order to -do so we take into account both the trigger probabilities and the b-tag probabilities. Thus, the trigger -probabilities for 0, 1, 2 and 3 or more b-tagged jets are then multiplied by the probabilities -of 0, 1, 2 and 3 or more jets being tagged, which are themselves got from TRF's, as described in section \ref{sec:nntag}. +In its work, the $h \rightarrow b\bar{b}$ group has parametrized the trigger in three instantaneous luminosity +($10^{32}$) bins: low ($L_{int} <$ 77 ), medium ( 77 $\leq L_{int} <$ 124 ) and +high ( $L_{int} \geq 124$ ). To model the trigger efficiency +we take into account both the trigger probabilities and the b-tag probabilities. Thus, the trigger +probabilities for 0, 1, 2 and 3 or more b-tagged jets are multiplied by the probabilities +of 0, 1, 2 and 3 or more jets being tagged, respectively, which are themselves derived from the TRF's, +as described in section \ref{sec:nntag}. The trigger efficiency is computed as a probability ({\it TrigWeight}) which we associate to each -MC event with: +MC event as follows: \begin{center} \begin{equation} -P \displaystyle = P_{t0}*P_{b0} + P_{t1}*P_{b1} + P_{t2}*P_{b2} + P_{t\geq 3}*P_{b\geq 3} +P \displaystyle = P_{t0}\cdot P_{0b} + P_{t1}\cdot P_{1b} + P_{t2}\cdot P_{2b} + P_{t\geq 3}\cdot P_{b\geq 3} \end{equation} \end{center} \noindent where $P_{ti}$ is the trigger probability for the event if it has $i$ b-tags and $P_{bi}$ is in turn -the probability of having $i$ b-tags in the event offline reconstruction.\\ +the probability of having $i$ b-tags in the offline event reconstruction.\\ -What follows is a brief description of how the trigger probabilities at each level were calculated. Single-object -turn-on curves were determined using muon triggered events from the TOPJETTRIG skim. +We now give a brief description of how the trigger probabilities at each level were calculated. Single-object +turn-on curves were determined using muon-triggered events from the TOPJETTRIG skim. Some turn-on curves are found in Appendix \ref{app:turnon}. A more complete description can be found in \cite{bIDH_note}. \clearpage @@ -50,7 +51,7 @@ Some turn-on curves are found in Appendi L2 & L2JET(3,6) L2HT(75,6) SPHER(0.1) OR\\ & L2JET(1,30,2.6) L2JET(2,15,2.6) L2JET(3,8) L2HT(75,6) MJT(10,10) OR \\ & L2JET(1,30,2.6) L2JET(2,15,2.6) L2JET(3,8) L2HT(100,6) \\ - L3 & L3JET(3,15,3.6) L3JET(2,25,3.6) $\mathrm{|z_{PV}|< 35\;cm}$ BTAG(0.4) \\ + L3 & L3JET(3,15,3.6) L3JET(2,25,3.6) ${|z_{\mbox{PV}}|< 35\;cm}$ BTAG(0.4) \\ \hline Name & JT2$\_$3JT15L$\_$IP$\_$VX \\ \hline\hline @@ -64,7 +65,7 @@ Some turn-on curves are found in Appendi L2 & L2JET(3,6) L2HT(75,6) SPHER(0.1) STTIP(1,5.5,3) OR\\ & L2JET(1,30,2.6) L2JET(2,15,2.6) L2JET(3,8) L2HT(75,6) MJT(20,10) OR \\ & L2JET(1,30,2.4) L2JET(2,15,2.4) L2JET(3,8,2.4) L2HT(75,6) STTIP(1,5.5,3)\\ - L3 & L3JET(3,15,3.6) JT(2,25,3.6) $\mathrm{|z_{PV}|< 35\;cm}$ BTAG(0.4) \\ + L3 & L3JET(3,15,3.6) JT(2,25,3.6) ${|z_{\mbox{PV}}|< 35\;cm}$ BTAG(0.4) \\ \hline Name & JT2$\_$3JT15L$\_$IP$\_$VX \\ \hline\hline @@ -90,15 +91,15 @@ only at L3 and corresponds to a cut of 0 \subsection{\label{sub:trig_paramL1}\boldmath Level 1} -\noindent Level 1 consists of jet terms only: 1 jet with $E_{T} >$ 30 GeV and $|\eta| < 2.4$, a second jet +\noindent Level 1 consists of jet terms only: One jet with $E_{T} >$ 30 GeV and $|\eta| < 2.4$, a second jet with $E_{T} >$ 15 GeV and $|\eta| < 2.4$ and a third jet with $E_{T} >$ 8 GeV and $|\eta| < 3.2$. The total L1 probability is given by \begin{equation} \begin{split} -P(L1) &= [P(\geq 3 \mbox{jets}) + P(= 2 \mbox{jets})*P(\geq 1 \mbox{noise jet}) + P(= 1 \mbox{jet})*P(\geq 2 \mbox{noise jets}) + P(= 0 \mbox{jets})*P(\geq 3 \mbox{noise jets})]\\ - &* [P(\geq 2 \mbox{jets}) + P(= 1 \mbox{jet})*P(\geq 1 \mbox{noise jet}) + P(= 0 \mbox{jets})*P(\geq 2 \mbox{noise jets})] \\ - &* [P(\geq 1 \mbox{jet}) + P(= 0 \mbox{jets})*P(\geq 1 \mbox{noise jet})] +P(L1) &= [P(\geq 3 \hspace{0.2cm} \mbox{jets}) + P(= 2 \hspace{0.2cm} \mbox{jets})*P(\geq 1 \hspace{0.2cm} \mbox{noise jet}) + P(= 1 \hspace{0.2cm} \mbox{jet})*P(\geq 2 \hspace{0.2cm} \mbox{noise jets}) + P(= 0 \hspace{0.2cm} \mbox{jets})*P(\geq 3 \hspace{0.2cm} \mbox{noise jets})]\\ + &* [P(\geq 2 \hspace{0.2cm} \mbox{jets}) + P(= 1 \hspace{0.2cm} \mbox{jet})*P(\geq 1 \hspace{0.2cm} \mbox{noise jet}) + P(= 0 \hspace{0.2cm} \mbox{jets})*P(\geq 2 \hspace{0.2cm} \mbox{noise jets})] \\ + &* [P(\geq 1 \hspace{0.2cm} \mbox{jet}) + P(= 0 \hspace{0.2cm} \mbox{jets})*P(\geq 1 \hspace{0.2cm} \mbox{noise jet})] \end{split} \end{equation} @@ -113,7 +114,7 @@ of offline $H_{T}$. All L1 turn-on curve \subsection{\label{sub:trig_paramL2}\boldmath Level 2} -\noindent Level 2 part of this trigger consists of an OR of three terms (here classified as +\noindent The Level 2 part of this trigger consists of an OR of three terms (here classified as {\it top}, {\it hbb} and {\it mjt}), each with a variation for v15 and v16: \begin{description} @@ -121,8 +122,8 @@ of offline $H_{T}$. All L1 turn-on curve \item[v16 top:] 3 jets with $p_{T} >$8 GeV, 2 with $p_{T} >$15~GeV, 1 with $p_{T} >$30~GeV, $H_{T} >$75~GeV and STT IP with IPSIG $\geq$ 3 and $\chi^{2} < 5.5$. \item[v15 hbb:] 3 jets with $p_{T} >$6 GeV, $H_{T} >$75~GeV and sphericity $>$ 0.1 \item[v16 hbb:] 3 jets with $p_{T} >$6 GeV, $H_{T} >$75~GeV, sphericity $>$ 0.1 and STT IP with IPSIG $\geq$ 3 and $\chi^{2} < 5.5$. -\item[v15 mjt:] 3 jets with $p_{T} >$8 GeV, 2 jets with $p_{T} >$15~GeV, 1 jet with $p_{T} >$30~GeV, $H_{T} >$75~GeV and $\not\!\!E_{T}$ $>$ 10~GeV. -\item[v16 mjt:] 3 jets with $p_{T} >$8 GeV, 2 jets with $p_{T} >$15~GeV, 1 jet with $p_{T} >$30~GeV, $H_{T} >$75~GeV and $\not\!\!E_{T}$ $>$ 20~GeV. +\item[v15 mjt:] 3 jets with $p_{T} >$8 GeV, 2 jets $p_{T} >$15~GeV, 1 jet with $p_{T} >$30~GeV, $H_{T} >$75~GeV and $\not\!\!E_{T}$ $>$ 10~GeV. +\item[v16 mjt:] 3 jets with $p_{T} >$8 GeV, 2 jets $p_{T} >$15~GeV, 1 jet with $p_{T} >$30~GeV, $H_{T} >$75~GeV and $\not\!\!E_{T}$ $>$ 20~GeV. \end{description} For this level the net trigger probability is @@ -142,15 +143,15 @@ P(L2) &= P(hbb \cup mht \cup top)\\ \noindent {\bf Level 2 jet terms}: from Table \ref{tabtrigcond} we see that for v15 trigger version, L2 jets terms are actually subsets of L1. As here conditional probability is used, it means that the probability of L2 jet terms -firing if L1 terms fired is unity. However in v16 the Pt requirement of jets in the first trigger term +firing if L1 terms fired is unity. However in v16 the $p_{T}$ requirement of jets in the first trigger term was loosened from 8 to 6 GeV and $\eta$ requirement on 8 GeV jets in the third trigger term was tightened from $|\eta| < 3.2$ to $|\eta| < 2.4$. As in the L1 case, all L2 jets matching offline ones had their turn-on curves parametrized as functions of offline jet $p_{T}$'s, except -for noise jets, whose number in each event which paratrized as funcions of offline $H_{t}$. +for noise jets, whose number in each event which parametrized as funcions of offline $H_{t}$. Turn-on curves for these cases are found in Appendix \ref{app:jetturnon_L2}. \noindent {\bf Level 2 $H_{T}$ term}: this term consists of a cut of $H_{T}$ $> 75$~GeV for v15 -and $H_{T}$ $>~100$~GeV for v16). Correspondent turn-on curves are shown in Appendix \ref{app:htturnon_L2}. +and $H_{T}$ $>~100$~GeV for v16. Corresponding turn-on curves are shown in Appendix \ref{app:htturnon_L2}. \noindent {\bf Level 2 $\not\!\!E_{T}$ term}: the correspondent $\not\!\!E_{T}$ cuts are $> 10~$GeV and $>~20$~GeV for v15 and v16 respectively. Their turn-on are shown in Appendix \ref{app:mhtturnon_L2}. @@ -163,9 +164,9 @@ Corresponding turn-on curves are shown i L1, L2 (L2top OR L2hbb) and L3 (except L3 b-tag) trigger requirements and the offline three to five jet selection. The efficiency was measured versus the invariant mass of the two -leading jets, separately for 0, 1, 2 and 3 offline tight NN b-tagged events, in the three different luminosity regions. +leading jets, separately for 0, 1, 2 and 3 offline tight NN b-tagged events, in the three different luminosity bins. Appendix \ref{app:sttip_L2} shows the STTIP(1,5.5,3) efficiency versus the -leading invariant di-jet mass in the low, medium and high luminosity range for different number of offline b-tags. +leading invariant di-jet mass in the low, medium and high luminosity range for different numbers of offline b-tags. \subsection{\label{sub:trig_paramL3}\boldmath Level 3} @@ -174,8 +175,8 @@ determined for events passing both L1 an \begin{equation} \begin{split} -P(L3) &= [P(\geq 3 \mbox{jets}) + P(= 2 \mbox{jets})*P(\geq 1 \mbox{noise jet}) + P(= 1 \mbox{jet})*P(\geq 2 \mbox{noise jets}) + P(= 0 \mbox{jets})*P(\geq 3 \mbox{noise jets})]\\ - &* [P(\geq 2 \mbox{jets}) + P(= 1 \mbox{jet})*P(\geq 1 \mbox{noise jet}) + P(= 0 \mbox{jets})*P(\geq 2 \mbox{noise jets})] +P(L3) &= [P(\geq 3 \hspace{0.2cm} \mbox{jets}) + P(= 2 \hspace{0.2cm} \mbox{jets})*P(\geq 1 \hspace{0.2cm} \mbox{noise jet}) + P(= 1 \hspace{0.2cm} \mbox{jet})*P(\geq 2 \hspace{0.2cm} \mbox{noise jets}) + P(= 0 \hspace{0.2cm} \mbox{jets})*P(\geq 3 \hspace{0.2cm} \mbox{noise jets})]\\ + &* [P(\geq 2 \hspace{0.2cm} \mbox{jets}) + P(= 1 \hspace{0.2cm} \mbox{jet})*P(\geq 1 \hspace{0.2cm} \mbox{noise jet}) + P(= 0 \hspace{0.2cm} \mbox{jets})*P(\geq 2 \hspace{0.2cm} \mbox{noise jets})] \end{split} \end{equation} @@ -185,10 +186,10 @@ JT(2,25,$\mathrm{|\eta|<3.6}$). Here was jets as in L1 and L2 jet terms. Corresponding turn-on curves are shown in Appendix \ref{app:jetturnon_L1}. -Efficiencies for the b-tag part of L3 were measured in two different ways depending whether the trigger list was v15 -or v16. In the v15 case events were recorded with the JT2$\_$4JT20 and JT2$\_$3JT12L$\_$MM3$\_$V triggers, +Efficiencies for the b-tag part of L3 were measured in two different ways depending on whether the trigger list was v15 +or v16. In v15 case events were recorded with the JT2$\_$4JT20 and JT2$\_$3JT12L$\_$MM3$\_$V triggers, since their L1 and L2 conditions were exactly the same. Events were further required to pass the -rest of L3 conditions of JT2$\_$3JT15L$\_$IP$\_$VX and the offline event selection. In the v16 case +rest of L3 conditions of JT2$\_$3JT15L$\_$IP$\_$VX and the offline event selection. In v16 case efficiencies were measured in a similar fashion, but using trigger JT4$\_$3JT15L$\_$VX (which has no L2STT or L3BTAG requirements). Events were then required to have fired one of the three L2 branches of JT2$\_$3JT15L$\_$IP$\_$VX and to pass the offline