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Improved isolation of the p-p Underlying Event based on minimum-bias trigger-associated hadron correlations. Tom Trainor. ISMD 2013. Agenda. Measure n ch dependence of p-p p t or y t SP spectra Define a “Glauber” model for p-p collisions
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Improved isolation of the p-p Underlying Event based on minimum-bias trigger-associated hadron correlations Tom Trainor ISMD 2013
Agenda Measure nch dependence of p-p pt or yt SP spectra Define a “Glauber” model for p-p collisions Predict nch systematics for p-p angular correlations Develop a two-component TA model (TCM) Extract a TA hard component jet fragments Make direct comparisons with pQCD and dijets Test underlying-event (UE) conjectures re dijets/MPI Identify kinematic limits of dijets in p-p collisions trigger-associated (TA) correlations
Two-component 1D Spectrum Model e.g. 2009 data dnch/dh≈ QCD power law 18 1.7 hard component spectrum data Lévy S0/18 subtract TCM soft component soft component dijet fragment spectra described by pQCD p-p spectra for seven nch classes n nucl-ex/0606028 factorized 2006 PRD: limit nch 0 basis for all that follows
p-p “Glauber” Model A-A Glauber model: dijets Nbin Npart4/3 ≈ nch4/3 exponent 4/3: eikonal signature low-x gluon participant fluctuations NSD all part. pairs eikonal trend Npart dijets nh ns2 Npart2 nch = ns + nh nh nch2 Dh = 2 eikonal approximation invalid dijet number nj = 0.03(ns/2.5 )2 no impact parameter p-p collisions: quantum transitions, Npart ns low-x gluons
p-p Angular Correlations vs nch nch bin data model 6 1 soft c2 = 1.08 c2 = 1.10 200 GeV p-p dijets residuals NJ quad AS 1D SS 2D per-particle correlation measure three main components: (1) jet-related same-side 2D peak (2) away-side 1D peak (dipole), (3) nonjet quadrupole
Predictions from pQCD, p-p “Glauber” from A-A NJ quadrupole ns3 becomes CMS SS “ridge” in p-p becomes “elliptic flow” in A-A pQCD 2.5 mb SS 2D peak – not a fit no eikonal AS dipole dijets ns2 minimum-bias (MB) jets – minijets in Au-Au collisions: in p-p collisions: soft component ns NJ quadrupole proton dissociation to participant partons prediction:
Trigger-associated Correlations in each event the highest yt is the “trigger” nch-1 others are “associated” form all trigger-associated pairs except self pairs subtract calculated TCM soft component(s) obtain conditional hard component Hh(yta:ytt ) Hh can be compared with parton-fragment FFs determine kinematic limits of jet production determine azimuth dependence relative to trigger for events with nch hadrons in Dh no pt cuts – all jets, all hadron pairs accepted
Trigger-associated (TA) Distributions F n = 3 n = 1 marginal projections constrain 2D TCM 2D F distribution yt,assoc 1D SP spectrum four nch classes project n = 7 n = 5 yt,trig 2006 PRD 1D trigger spectrum new
TA Two-component Model – TCM event-type prob void prob 1D 1D SP spectrum TCM TCM trigger model sample-type prob nj – dijet number void probability: exercise in compound probabilities derive 2D two-component TA model based on 1D spectra 1307.1819 derived from 1D SP spectra includes factorized hard-component model H0´(yta:ytt) as place holder
Trigger Spectra T – Four nch Classes n = 3 n = 1 no vertical adjustment calculated solid curve points are measured trigger spectra Note: n = 7 n = 5 only one adjustment – O(1) parameter k accounts for non-Poisson correlations trigger spectrum components k k = 1.3-1.6
Compare 2D TA Data and TA TCM F data F TCM major features agree quantitatively
Associated-per-Trigger Ratios A = F/T Adata / ATCM data soft components well modeled n = 3 n = 1 due to nch-1 constraint jet structure yt,assoc n = 5 n = 7 data hard components: new information on dijet structure soft component
Hard Component of A = F/T per Dijet per hard event dependent on nch per-dijet approximately independent of nch! ≈ 1.15 dijets 1 GeV/c compare with unbiased jet structure n = 3 n = 4 hep-ph/0606249 measured FFs – 2006 FFs estimated trigger 6 GeV/c 0.15 GeV/c lowest measured jets CLEO ≈ 2 dijets measured FFs n = 5 n = 6 2 GeV 200 GeV 0.5 GeV/c parton energy subtract TCM soft components
Hard Component of F = TA most jets actual minbias trigger-associated pairs Porter 2004 minbias ≈ 1 dijet 2 GeV/c n =4 n = 3 compare with yt×yt correlations and… pQCD factorization FFsspectrum ≈ 2 dijets estimated trigger n = 5 n = 6 parton spectrum
A = F/T vs Azimuth Intervals 4 GeV/c away toward harder softer harder sum three low-nch bins: MPI < 15% 4 GeV/c trans jets in TR! part of triggered dijet n = 2-4 0.6 GeV/c UE MPI conjecture inconsistent with data 0.3 GeV/c
Dijet Structure in the “Trans” Region MB jets vs nch n=1 n=6 MB jets provide a base for higher-energy dijets relative to MB jets: for higher jet energies hadrons added nearer the jet axis do not contribute to the TR jet structure 2D fit model AS SS TR = “trans” substantial overlap: same-side SS vs away-side AS
Underlying-Event Trends and the TR 200 GeV p-p fraction hard events 20 2 nch/Dh MPI more dijets, nch2 control parameters MPI NSD single dijet NSD 0 0 number of dijets in hard events yt,trig 0 1 real UE = soft component plus MPI described above NSD p-p CDF jet contribution to TR comes from MB jet structure common to all dijets trig. jet hard component in TR soft 1.8 TeV soft 1210.5217 TR multiplicity not MPI
Charge-pair Type Dependence toward trans away like-sign pt (GeV/c) 1 2 unlike-sign
Kinematic Space for Jets & Fragments Trigger hadrons extend down to 1 GeV/c Associated hadrons extend down to 0.4 GeV/c (AS) or 0.8 GeV/c (SS) TA results consistent with measured FFs from LEP, HERA and CDF and with a pQCD parton spectrum that predicts measured dijet production Conventional trigger-associated ptcuts accept a tiny fraction of the actual jet number and jet fragments, produce a deceptive picture of jets in HE collisions effective boundaries for jet formation
Summary “Glauber” model for p-p collisions, no eikonal “Soft” component represents participant partons Predict trends for dijet, nonjet-quadrupole correlations MPI trend with nch, jet contributions to “trans” region Develop TCM for trigger-associated TA correlations 1D T spectrum, 2D F = TA two-component models Hard components of F, A by subtraction MB jets Direct link to measured fragmentation functions and underlying pQCD parton spectrum TA results confirm trigger contribution to “trans” region
Hard Component of A = F/T per Dijet per-dijet approximately independent of nch! ≈ 1.15 dijets 1 GeV/c compare with unbiased jet structure n = 3 n = 4 hep-ph/0606249 measured FFs – 2006 FFs estimated trigger 6 GeV/c 0.15 GeV/c lowest measured jets CLEO ≈ 2 dijets measured FFs n = 5 n = 6 2 GeV 200 GeV 0.5 GeV/c parton energy subtract TCM soft components
Hard Component of A = F/T per Dijet per hard event dependent on nch compare with unbiased jet structure hep-ph/0606249 measured FFs – 2006 FFs estimated trigger lowest measured jets CLEO measured FFs 2 GeV 200 GeV parton energy subtract TCM soft components