jet substructure - uc santa barbara
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Jet SubstructureNick Amin
08/29/14
N-subjettiness
β’ Given N subjet axes in a fat jet, N-subjettiness, ππ , is given by
β’ ππ =1
π0 π ππ,πmin{βπ 1,π , βπ 2,π , β¦ , βπ π,π}
β’ βπ π,π is the angular separation between constituent k and candidate subjet N
β’ π0 is a normalization factor given by π0 = π ππ,ππ 0 , so 0 β€ ππ β€ 1
β’ π 0 = 0.8 for AK8 clustering
Low ππ (constituents close to subjet axes)
High ππ (consitutents spread out)
Clusters with exactly Nsubjets will have small ππ
If ππ β 1, cluster most likely has more than Nsubjets
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N-subjettiness
β’ When comparing N-subjetiness with (N+1)-subjettiness, adding extra candidate subjet allows minimum angular separation to decrease
β’ Thus, in most cases, π1 > π2 > π3.
β’ Ratio πππ = ππ/ππ, where N=M+1, is useful
ππππ >
Clusters with small πππ most likely have N subjets.
We can use this quantity for cuts.
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Q-jets Volatility
β’ Associate clustering history (βtreeβ) with jetsβ’ Depending on the route (AK8-like, CA8-like, etc.)
taken to get a jet, the mass can change, so you get a mass distribution for a jet when considering the space of possible trees
β’ For a pruned jet mass distribution, define
volatility as π =π2 β π 2
β¨πβ©β’ Physically, dependence of jet mass on clustering
method governs volatility (large mass fluctuations over different algorithms/routes means the jet is volatile/fuzzy)
A. Hornig
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Jet Toolbox
β’ Jet toolbox available at https://twiki.cern.ch/twiki/bin/viewauth/CMS/JetToolboxβ’ Takes miniAOD (or AODSIM) and adds various substructure branches
β’ ~0.1 Hz for miniAODminiAOD+substructure
β’ For AK8, it includes:β’ Q-jets Volatility
β’ N-subjettiness (π1, π2, π3)
β’ Masses of pruned, trimmed, filtered jets
β’ Top-tagged jet massβ’ If an ungroomed jet is matched to top-tagged jet, this branch is filled with the jet mass
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Current Setup
β’ Have 10k-event T2tt sample from Alex (mstop = 850, mLSP = 100)
β’ Added βSubJetMakerβ to CMS3 makers, which adds substructure variables from toolboxed miniAOD
β’ Preliminary distributions of substructure variables followβ’ Working on meaningful distributions in my previous framework, along with
same plots with AK8 instead of AK5
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Q-jets Volatility
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N-subjettinessπ3/π2
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N-subjettiness
π2
π3 9
N-subjettiness
π1
π2 10
Pruning
Unpruned AK8 Masses
Pru
ne
d A
K8
Mas
ses
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Pruning
Unpruned AK8 Masses Pruned AK8 Masses
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Top-tagged Jet Mass
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Links
β’ A. Hornig: https://indico.cern.ch/event/179612/session/2/contribution/39/material/slides/0.pdf
β’ H. K. Lou: http://indico.cern.ch/event/215704/session/2/contribution/31/material/slides/0.pdf
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