version 1.1.1.1, 2011/05/18 21:30:39
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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}} |
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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. |
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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. |
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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, |
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as described in section \ref{sec:nntag}. |
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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: |
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\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} |
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\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.\\ |
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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}. |
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\clearpage |
\clearpage |
Line 50 Some turn-on curves are found in Appendi
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Line 51 Some turn-on curves are found in Appendi
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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
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Line 65 Some turn-on curves are found in Appendi
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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
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Line 91 only at L3 and corresponds to a cut of 0
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\subsection{\label{sub:trig_paramL1}\boldmath Level 1} |
\subsection{\label{sub:trig_paramL1}\boldmath Level 1} |
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\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 |
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\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} |
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Line 113 of offline $H_{T}$. All L1 turn-on curve
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Line 114 of offline $H_{T}$. All L1 turn-on curve
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\subsection{\label{sub:trig_paramL2}\boldmath Level 2} |
\subsection{\label{sub:trig_paramL2}\boldmath Level 2} |
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\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: |
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\begin{description} |
\begin{description} |
Line 121 of offline $H_{T}$. All L1 turn-on curve
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Line 122 of offline $H_{T}$. All L1 turn-on curve
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\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} |
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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)\\
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Line 143 P(L2) &= P(hbb \cup mht \cup top)\\
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\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}. |
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\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}. |
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\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
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Line 164 Corresponding turn-on curves are shown i
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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. |
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\subsection{\label{sub:trig_paramL3}\boldmath Level 3} |
\subsection{\label{sub:trig_paramL3}\boldmath Level 3} |
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Line 174 determined for events passing both L1 an
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Line 175 determined for events passing both L1 an
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\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} |
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Line 185 JT(2,25,$\mathrm{|\eta|<3.6}$). Here was
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Line 186 JT(2,25,$\mathrm{|\eta|<3.6}$). Here was
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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}. |
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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 |