Annotation of ttbar/p20_taujets_note/TriggParam.tex, revision 1.1
1.1 ! uid12904 1: \section{Trigger Parametrization \label{sec:trig_param}}
! 2:
! 3: As aforementioned the trigger used in this analysis is JT2$\_$3JT15L$\_$IP$\_$VX.
! 4: In both v15 and v16 trigger versions, this trigger has 4 terms at level 2. Currently, only
! 5: three of these, the L2 $H_{T}$, missing $E_{T}$ ($\not\!\! E_{T}$) and
! 6: sphericity based branches have been modelled by the $hbb$ group \cite{bIDH_note}. Therefore
! 7: these are the ones used in this analysis. The missing term is the acoplanarity term, namely,
! 8: L2JET(1,20,2.4) L2HT(35,6) MJT(20,10) L2ACOP(168.75), which is the same in both
! 9: v15 and v15 trigger lists.
! 10:
! 11:
! 12: Table \ref{tabtrigcond} shows the L1, L2 and L3 requirements of the trigger.
! 13:
! 14:
! 15: In its work, the $hbb$ group has parametrized the trigger in three instantaneous luminosity
! 16: ($10^{32}$)regions: low ($L_{int} <$ 77 ), medium ( 77 $\leq L_{int} <$ 124 ) and
! 17: high ( $L_{int} \geq 124$ ). The final goal is to measure the total trigger efficiency for our events. In order to
! 18: do so we take into account both the trigger probabilities and the b-tag probabilities. Thus, the trigger
! 19: probabilities for 0, 1, 2 and 3 or more b-tagged jets are then multiplied by the probabilities
! 20: 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}.
! 21:
! 22: The trigger efficiency is computed as a probability ({\it TrigWeight}) which we associate to each
! 23: MC event with:
! 24:
! 25: \begin{center}
! 26: \begin{equation}
! 27: P \displaystyle = P_{t0}*P_{b0} + P_{t1}*P_{b1} + P_{t2}*P_{b2} + P_{t\geq 3}*P_{b\geq 3}
! 28: \end{equation}
! 29: \end{center}
! 30:
! 31: \noindent where $P_{ti}$ is the trigger probability for the event if it has $i$ b-tags and $P_{bi}$ is in turn
! 32: the probability of having $i$ b-tags in the event offline reconstruction.\\
! 33:
! 34: What follows is a brief description of how the trigger probabilities at each level were calculated. Single-object
! 35: turn-on curves were determined using muon triggered events from the TOPJETTRIG skim.
! 36: Some turn-on curves are found in Appendix \ref{app:turnon}. A more complete description can be found in \cite{bIDH_note}.
! 37:
! 38: \clearpage
! 39:
! 40:
! 41: \begin{table}[h]
! 42: \begin{small}
! 43: \begin{center}
! 44: %\subtable[v15]{
! 45: \begin{tabular}{l c}
! 46: \hline\hline
! 47: Level & v15 \\
! 48: \hline
! 49: L1 & CSWJT(3,8,3.2)CSWJT(2,15,2.4)CSWJT(1,30,2.4) \\
! 50: L2 & L2JET(3,6) L2HT(75,6) SPHER(0.1) OR\\
! 51: & L2JET(1,30,2.6) L2JET(2,15,2.6) L2JET(3,8) L2HT(75,6) MJT(10,10) OR \\
! 52: & L2JET(1,30,2.6) L2JET(2,15,2.6) L2JET(3,8) L2HT(100,6) \\
! 53: L3 & L3JET(3,15,3.6) L3JET(2,25,3.6) $\mathrm{|z_{PV}|< 35\;cm}$ BTAG(0.4) \\
! 54: \hline
! 55: Name & JT2$\_$3JT15L$\_$IP$\_$VX \\
! 56: \hline\hline
! 57: \end{tabular}
! 58:
! 59: \begin{tabular}{l c}
! 60: \hline\hline
! 61: Level & v16 \\
! 62: \hline
! 63: L1 & CSWJT(3,8,3.2)CSWJT(2,15,2.4)CSWJT(1,30,2.4) \\
! 64: L2 & L2JET(3,6) L2HT(75,6) SPHER(0.1) STTIP(1,5.5,3) OR\\
! 65: & L2JET(1,30,2.6) L2JET(2,15,2.6) L2JET(3,8) L2HT(75,6) MJT(20,10) OR \\
! 66: & L2JET(1,30,2.4) L2JET(2,15,2.4) L2JET(3,8,2.4) L2HT(75,6) STTIP(1,5.5,3)\\
! 67: L3 & L3JET(3,15,3.6) JT(2,25,3.6) $\mathrm{|z_{PV}|< 35\;cm}$ BTAG(0.4) \\
! 68: \hline
! 69: Name & JT2$\_$3JT15L$\_$IP$\_$VX \\
! 70: \hline\hline
! 71: \end{tabular}
! 72: %}
! 73: \end{center}
! 74: \caption{\small Level-by-level description of trigger JT2$\_$3JT15L$\_$IP$\_$VX. The
! 75: CSWJT(x,y,z) term corresponds to x L1 jets above y~GeV and within
! 76: $\mathrm{|\eta| < z}$. The JT(x,y,z) term corresponds to x jets
! 77: reconstructed at L2 or L3 with $p_T > y$ GeV and $\mathrm{|\eta|<z}$. The HT(x,y) term is used only at
! 78: L2 and requires that the sum of the transverse momenta of L2 jets with $p_T > y$ GeV is above x~GeV.
! 79: The SPHER(0.1) term requires the event sphericity calculated from L2 jets to be greater than 0.1.
! 80: The MJT(x,y) term corresponds to a missing transverse energy $>$ x~GeV calculated from jets
! 81: with $E_{T} >$ y~GeV. The STTIP(1,5.5,3) term requires one L2STT track with an impact parameter
! 82: significance greater than or equal to three and a $\chi^{2} < 5.5$.
! 83: The $\mathrm{|z_{PV}|< 35\;cm}$ term requires the primary vertex reconstructed
! 84: at L3 to be within 35 cm of the center of the detector and the BTAG(0.4) term is used
! 85: only at L3 and corresponds to a cut of 0.4 on the probability for the event to not contain a $b$-quark.}
! 86: \label{tabtrigcond}
! 87: \end{small}
! 88: \end{table}
! 89:
! 90:
! 91: \subsection{\label{sub:trig_paramL1}\boldmath Level 1}
! 92:
! 93: \noindent Level 1 consists of jet terms only: 1 jet with $E_{T} >$ 30 GeV and $|\eta| < 2.4$, a second jet
! 94: with $E_{T} >$ 15 GeV and $|\eta| < 2.4$
! 95: and a third jet with $E_{T} >$ 8 GeV and $|\eta| < 3.2$. The total L1 probability is given by
! 96:
! 97: \begin{equation}
! 98: \begin{split}
! 99: 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})]\\
! 100: &* [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})] \\
! 101: &* [P(\geq 1 \mbox{jet}) + P(= 0 \mbox{jets})*P(\geq 1 \mbox{noise jet})]
! 102: \end{split}
! 103: \end{equation}
! 104:
! 105: \noindent where $P(\geq x jets)$ is the probability of having $x$ or more jets present in the event and $P(= x jets)$ is
! 106: the probability of having exactly $x$ jets in the event. The term {\it noise jets} refers to all
! 107: those L1 jets that didn't match to an offline jet within $\Delta R < 0.5$. In the equation above the first line
! 108: corresponds to the term CSWJT(3,8,$\mathrm{|\eta|<3.2}$), the second to the term
! 109: CSWJT(2,15,$\mathrm{|\eta|<2.4}$) and the third to the term CSWJT(1,30,$\mathrm{|\eta|<2.4}$).
! 110: L1 jets that matched offline ones had their turn-on curves parametrized as functions of
! 111: offline jet $p{T}$'s. The number of noise jets per event was parametrized as a function
! 112: of offline $H_{T}$. All L1 turn-on curves are found in Appendix \ref{app:jetturnon_L1}.
! 113:
! 114: \subsection{\label{sub:trig_paramL2}\boldmath Level 2}
! 115:
! 116: \noindent Level 2 part of this trigger consists of an OR of three terms (here classified as
! 117: {\it top}, {\it hbb} and {\it mjt}), each with a variation for v15 and v16:
! 118:
! 119: \begin{description}
! 120: \item[v15 top:] 3 jets with $p_{T} >$8 GeV, 2 with $p_{T} >$15~GeV, 1 with $p_{T} >$30~GeV and $H_{T} >$100~GeV
! 121: \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 $\chi^{2} < 5.5$.
! 122: \item[v15 hbb:] 3 jets with $p_{T} >$6 GeV, $H_{T} >$75~GeV and sphericity $>$ 0.1
! 123: \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 $\chi^{2} < 5.5$.
! 124: \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.
! 125: \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.
! 126: \end{description}
! 127:
! 128: For this level the net trigger probability is
! 129:
! 130: \begin{center}
! 131: \begin{equation}
! 132: \begin{split}
! 133: P(L2) &= P(hbb \cup mht \cup top)\\
! 134: &= P(top) + P(hbb) + P(mht) - P(top \cap hbb) - P(top \cap mht) - P(hbb \cap mht) + P(hbb \cap mht \cap top)
! 135: \end{split}
! 136: \end{equation}
! 137: \end{center}
! 138:
! 139: \noindent where P(x) corresponds to the probability of either L2, the mht, hbb or the top term firing.
! 140:
! 141:
! 142: \noindent {\bf Level 2 jet terms}: from Table \ref{tabtrigcond} we see that for v15 trigger
! 143: version, L2 jets terms are actually
! 144: subsets of L1. As here conditional probability is used, it means that the probability of L2 jet terms
! 145: firing if L1 terms fired is unity. However in v16 the Pt requirement of jets in the first trigger term
! 146: was loosened from 8 to 6 GeV and $\eta$ requirement on 8 GeV jets in the third trigger term
! 147: was tightened from $|\eta| < 3.2$ to $|\eta| < 2.4$. As in the L1 case, all L2 jets matching offline
! 148: ones had their turn-on curves parametrized as functions of offline jet $p_{T}$'s, except
! 149: for noise jets, whose number in each event which paratrized as funcions of offline $H_{t}$.
! 150: Turn-on curves for these cases are found in Appendix \ref{app:jetturnon_L2}.
! 151:
! 152: \noindent {\bf Level 2 $H_{T}$ term}: this term consists of a cut of $H_{T}$ $> 75$~GeV for v15
! 153: and $H_{T}$ $>~100$~GeV for v16). Correspondent turn-on curves are shown in Appendix \ref{app:htturnon_L2}.
! 154:
! 155: \noindent {\bf Level 2 $\not\!\!E_{T}$ term}: the correspondent $\not\!\!E_{T}$ cuts are $> 10~$GeV and $>~20$~GeV
! 156: for v15 and v16 respectively. Their turn-on are shown in Appendix \ref{app:mhtturnon_L2}.
! 157:
! 158: \noindent {\bf L2 Sphericity Term}: this term requires a sphericity cut of $>$ 0.1.
! 159: Corresponding turn-on curves are shown in Appendix \ref{app:spherturnon_L2}.
! 160:
! 161:
! 162: \noindent {\bf L2 STT}: the L2STTIP efficiency was measured for events in v16 which have passed the rest of the
! 163: L1, L2 (L2top OR L2hbb) and L3 (except L3 b-tag)
! 164: trigger requirements and the offline three to five jet selection. The efficiency was measured versus
! 165: the invariant mass of the two
! 166: leading jets, separately for 0, 1, 2 and 3 offline tight NN b-tagged events, in the three different luminosity regions.
! 167: Appendix \ref{app:sttip_L2} shows the STTIP(1,5.5,3) efficiency versus the
! 168: leading invariant di-jet mass in the low, medium and high luminosity range for different number of offline b-tags.
! 169:
! 170: \subsection{\label{sub:trig_paramL3}\boldmath Level 3}
! 171:
! 172: \noindent L3 consists of a jet part and a b-tag one. For the jet part of L3, turn-on curves were
! 173: determined for events passing both L1 and L2 requirements. Corresponding probability is given the equation below
! 174:
! 175: \begin{equation}
! 176: \begin{split}
! 177: 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})]\\
! 178: &* [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})]
! 179: \end{split}
! 180: \end{equation}
! 181:
! 182: \noindent In the equation above the first line
! 183: corresponds to the term JT(3,15,$\mathrm{|\eta|<3.6}$), the second to the term
! 184: JT(2,25,$\mathrm{|\eta|<3.6}$). Here was applied the same treatment to L3 jets matching offline ones and to noise
! 185: jets as in L1 and L2 jet terms. Corresponding turn-on curves are shown in Appendix \ref{app:jetturnon_L1}.
! 186:
! 187:
! 188: Efficiencies for the b-tag part of L3 were measured in two different ways depending whether the trigger list was v15
! 189: or v16. In the v15 case events were recorded with the JT2$\_$4JT20 and JT2$\_$3JT12L$\_$MM3$\_$V triggers,
! 190: since their L1 and L2 conditions were exactly the same. Events were further required to pass the
! 191: rest of L3 conditions of JT2$\_$3JT15L$\_$IP$\_$VX and the offline event selection. In the v16 case
! 192: efficiencies were measured in a similar fashion, but using
! 193: trigger JT4$\_$3JT15L$\_$VX (which has no L2STT or L3BTAG requirements). Events were then required
! 194: to have fired one of the three L2 branches of JT2$\_$3JT15L$\_$IP$\_$VX and to pass the offline
! 195: three to five jet selection. All turn-on curves for both trigger lists are found in Appendix \ref{app:btagturnon_L3}.
! 196:
! 197: \clearpage
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