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| version 1.1, 2011/05/18 21:30:39 | version 1.2, 2011/06/01 01:20:54 |
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| \section{Trigger Parametrization \label{sec:trig_param}} | \section{Trigger modeling\label{sec:trig_param}} |
| As aforementioned the trigger used in this analysis is JT2$\_$3JT15L$\_$IP$\_$VX. | As aforementioned the trigger used in this analysis is JT2$\_$3JT15L$\_$IP$\_$VX. |
| In both v15 and v16 trigger versions, this trigger has 4 terms at level 2. Currently, only | For both the v15 and v16 trigger versions, this trigger has four terms at level 2. Three |
| three of these, the L2 $H_{T}$, missing $E_{T}$ ($\not\!\! E_{T}$) and | 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 | sphericity based branches have been modelled for the $h \rightarrow b\bar{b}$ analysis \cite{bIDH_note}. We |
| these are the ones used in this analysis. The missing term is the acoplanarity term, namely, | 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 | 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. | 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 | In its work, the $h \rightarrow b\bar{b}$ group has parametrized the trigger in three instantaneous luminosity |
| ($10^{32}$)regions: low ($L_{int} <$ 77 ), medium ( 77 $\leq L_{int} <$ 124 ) and | ($10^{32}$) bins: 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 | high ( $L_{int} \geq 124$ ). To model the trigger efficiency |
| do so we take into account both the trigger probabilities and the b-tag probabilities. Thus, the trigger | 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 | 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, which are themselves got from TRF's, as described in section \ref{sec:nntag}. | 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 | 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{center} |
| \begin{equation} | \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{equation} |
| \end{center} | \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 | \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 | 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. | 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}. | Some turn-on curves are found in Appendix \ref{app:turnon}. A more complete description can be found in \cite{bIDH_note}. |
| \clearpage | \clearpage |
| Line 50 Some turn-on curves are found in Appendi | Line 51 Some turn-on curves are found in Appendi |
| L2 & L2JET(3,6) L2HT(75,6) SPHER(0.1) OR\\ | 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(75,6) MJT(10,10) OR \\ |
| & L2JET(1,30,2.6) L2JET(2,15,2.6) L2JET(3,8) L2HT(100,6) \\ | & 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 | \hline |
| Name & JT2$\_$3JT15L$\_$IP$\_$VX \\ | Name & JT2$\_$3JT15L$\_$IP$\_$VX \\ |
| \hline\hline | \hline\hline |
| Line 64 Some turn-on curves are found in Appendi | Line 65 Some turn-on curves are found in Appendi |
| L2 & L2JET(3,6) L2HT(75,6) SPHER(0.1) STTIP(1,5.5,3) OR\\ | 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(1,30,2.6) 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)\\ | & 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 | \hline |
| Name & JT2$\_$3JT15L$\_$IP$\_$VX \\ | Name & JT2$\_$3JT15L$\_$IP$\_$VX \\ |
| \hline\hline | \hline\hline |
| Line 90 only at L3 and corresponds to a cut of 0 | Line 91 only at L3 and corresponds to a cut of 0 |
| \subsection{\label{sub:trig_paramL1}\boldmath Level 1} | \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 $|\eta| < 2.4$ | 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 | and a third jet with $E_{T} >$ 8 GeV and $|\eta| < 3.2$. The total L1 probability is given by |
| \begin{equation} | \begin{equation} |
| \begin{split} | \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(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 \mbox{jets}) + P(= 1 \mbox{jet})*P(\geq 1 \mbox{noise jet}) + P(= 0 \mbox{jets})*P(\geq 2 \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 \mbox{jet}) + P(= 0 \mbox{jets})*P(\geq 1 \mbox{noise jet})] | &* [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{split} |
| \end{equation} | \end{equation} |
| Line 113 of offline $H_{T}$. All L1 turn-on curve | Line 114 of offline $H_{T}$. All L1 turn-on curve |
| \subsection{\label{sub:trig_paramL2}\boldmath Level 2} | \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: | {\it top}, {\it hbb} and {\it mjt}), each with a variation for v15 and v16: |
| \begin{description} | \begin{description} |
| Line 121 of offline $H_{T}$. All L1 turn-on curve | Line 122 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[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[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[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[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 with $p_{T} >$15~GeV, 1 jet with $p_{T} >$30~GeV, $H_{T} >$75~GeV and $\not\!\!E_{T}$ $>$ 20~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} | \end{description} |
| For this level the net trigger probability is | For this level the net trigger probability is |
| Line 142 P(L2) &= P(hbb \cup mht \cup top)\\ | Line 143 P(L2) &= P(hbb \cup mht \cup top)\\ |
| \noindent {\bf Level 2 jet terms}: from Table \ref{tabtrigcond} we see that for v15 trigger | \noindent {\bf Level 2 jet terms}: from Table \ref{tabtrigcond} we see that for v15 trigger |
| version, L2 jets terms are actually | version, L2 jets terms are actually |
| subsets of L1. As here conditional probability is used, it means that the probability of L2 jet terms | 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 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 | 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 | 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}. | 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 | \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 | \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}. | for v15 and v16 respectively. Their turn-on are shown in Appendix \ref{app:mhtturnon_L2}. |
| Line 163 Corresponding turn-on curves are shown i | Line 164 Corresponding turn-on curves are shown i |
| L1, L2 (L2top OR L2hbb) and L3 (except L3 b-tag) | 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 | trigger requirements and the offline three to five jet selection. The efficiency was measured versus |
| the invariant mass of the two | 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 | 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} | \subsection{\label{sub:trig_paramL3}\boldmath Level 3} |
| Line 174 determined for events passing both L1 an | Line 175 determined for events passing both L1 an |
| \begin{equation} | \begin{equation} |
| \begin{split} | \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(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 \mbox{jets}) + P(= 1 \mbox{jet})*P(\geq 1 \mbox{noise jet}) + P(= 0 \mbox{jets})*P(\geq 2 \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{split} |
| \end{equation} | \end{equation} |
| Line 185 JT(2,25,$\mathrm{|\eta|<3.6}$). Here was | Line 186 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}. | 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 | 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 the v15 case events were recorded with the JT2$\_$4JT20 and JT2$\_$3JT12L$\_$MM3$\_$V triggers, | or v16. In v15 case events were recorded with the JT2$\_$4JT20 and JT2$\_$3JT12L$\_$MM3$\_$V triggers, |
| since their L1 and L2 conditions were exactly the same. Events were further required to pass the | since their L1 and L2 conditions were exactly the same. Events were further required to pass the |
| rest of L3 conditions of JT2$\_$3JT15L$\_$IP$\_$VX and the offline event selection. In the v16 case | rest of L3 conditions of JT2$\_$3JT15L$\_$IP$\_$VX and the offline event selection. In v16 case |
| efficiencies were measured in a similar fashion, but using | efficiencies were measured in a similar fashion, but using |
| trigger JT4$\_$3JT15L$\_$VX (which has no L2STT or L3BTAG requirements). Events were then required | trigger JT4$\_$3JT15L$\_$VX (which has no L2STT or L3BTAG requirements). Events were then required |
| to have fired one of the three L2 branches of JT2$\_$3JT15L$\_$IP$\_$VX and to pass the offline | to have fired one of the three L2 branches of JT2$\_$3JT15L$\_$IP$\_$VX and to pass the offline |