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Prompt Photons in Photoproduction and Deep Inelastic Scattering at HERA
Eric Brownson
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Outline Introduction to ep scattering
HERA I, luminosity upgrade to HERA II and ZEUS Kinematics HERA I MC generation and usage Verification via Deeply Virtual Compton Scattering Prompt photons with jet in photoproduction Event Sample and Cuts Cross Sections HERA II MC generation and usage New Tools Developed Prompt Photons in Deep Inelastic Scattering Cross Section
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Lepton Proton Collisions
Particle Scattering A smaller wavelength means greater resolution Wavelength of probe: l = h/Q Q: Probe’s momentum HERA Collisions Ee=27.5 GeV , Ep=920 GeV HERA provides ep collisions with CMS Energy ~ 320 GeV Provides γor W/Z as probes Deep Inelastic Scattering (DIS): Q2 < 40,000 GeV2 Currently possible to probe to .001 fm (Proton is 1 fm) Introduce the basics of what goes on to separate high energy from other branches of Physics. Mention that cross section should be though of as a probability. ***Make sure to include relationship between Q and photon’s momentum in notes.
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Quark-Parton Model Hadrons: particles that interact strongly
Bound states of structure-less particles (quarks) Quark-parton model Quark properties: mass, electric charge, spin Quarks treated as point-like, non-interacting Introduce the quarks and lead into gluons and QCD
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Quark-Parton Model Proton contains only valence quarks
Partons considered point-like particles Structure functions describing individual particles’ momenta distribution depend only on xBJ XBJ is the fraction of the proton’s momentum carried by the valence parton No Q dependence (Bjorken scaling) fi(x) Parton density functions (PDF’s) Must be experimentally determined
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QCD and Colored Gluons Problems with Quark-Parton Model
Statistics for fermion D++ D++ comprised of 3 u quarks Violation of exclusion principle under QPM Valence quarks don’t carry proton’s entire momentum By experiment Single quarks never observed Quantum Chromodynamics: Theory with color quantum number D++ quark composition: uRuBuG Mediator of color force gluon Gluons carry roughly half proton momentum Gluons carry color Observed particles “colorless” Isolated quarks not observed Confinement Application of QCD to transition into next slide
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Deep Inelastic Scattering
Photon has high 4-momentum Photon is highly virtual Deep Inelastic Scattering (Q2>1) Scattered e- observed Cross section has a (1/Q4) dependence Only proton PDFs contribute
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Photoproduction Direct: Resolved:
Photon carries very little 4-momentum Photon is almost real Photoproduction (Q2~0) Scattered e- not seen (escapes down beampipe) Direct Photoproduction: Photon couples to a parton Resolved Photoproduction: Photon fluctuates into partonic state xg = fraction of exchange photon’s momentum involved in the collision
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Prompt Photons Background: ISR FSR Radiative Prompt Photon:
g is produced in the hard scatter Carries information about the struck parton No Hadronisation correction Sensitive to both quark and gluon densities Non-Prompt Background: Initial State Radiation (ISR): Photon is radiated from e- before interaction Final State Radiation (FSR): Photon is radiated from e- after interaction Radiative events: Photon is radiated after the interaction Neutral mesons: Photon originates from a decay of a hadron FSR Radiative
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Perturbative QCD for Prompt Photons in PHP
Arrange diagrams by increasing powers of as LO: A = A0 + A1as + A2as2 + … Compton Process aem2 NLO: Resolved initial photon asaem Resolved final photon asaem asaem2 asaem2 NNLO: incomplete + … Double resolved as2aem2 Box diagram as2aem2
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Jets and Hadronization
Struck Parton Jet Colored parton produced in the interaction “Parton Level” Colorless hadrons form via hadronization “Hadron Level” Collimated “spray” of particles “Jets” Particle showers observed as energy deposits in detectors “Detector Level”
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Prompt Photons + Jet in Photoproduction
Presence of a jet: More sensitivity to underlying partonic processes Introduces some hadronisation Smaller hadronisation correction than dijets Photoproduction (Q2 ≈ 0): Exchange photon is real Large cross section No additional Pt given to the g+jet system by e± The g+jet will be back to back Well separated No ISR/FSR background Resolved contribution: g hadronic structure Constrain gluon distribution NLO calculation available
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NLO QCD Prompt g with Jet in PHP Calculations
K.Krawczyk & A.Zembrzuski (KZ): GRV parametrisation: photon structure function proton structure function fragmentation function Fontanaz, Guillet & Heinrich (FGH): MRST proton structure function AFG photon structure function BFG fragmentation function A.Lipatov & N.Zotov (LZ): Kt-factorization approach Unintegrated quark/gluon densities using Kimber-Martin-Ryskin prescription I want to keep this one the same. I will re-read the papers before hand to be able to verbally highlight any differences. This way at least in print I treat the theories on equal footing. ZEUS: FGH used MRST01, AFG02 H1: FGH used MRST02 AFG??
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Prompt Photons in DIS Presence of a jet (Not Used):
More sensitivity to underlying partonic processes Decrease s by a factor of ~6.5 Deep Inelastic Scattering (Q2 » 0): Exchange photon is highly virtual Only proton PDFs contribute Q2 energy scale Smaller cross section than PHP ISR/FSR background contribution e± ISR FSR
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H1 & ZEUS are general purpose detectors
HERA Description 920 GeV Protons 27.5 GeV e- or e+ CMS Energy 320 GeV Equivalent to 50 TeV fixed target 220 bunches Not all filled 96 ns crossing time Currents: ~90mA protons ~40mA positrons Instantaneous Luminosity: 1.8x1031cm-2s-1 ZEUS Obligatory aerial photo of the HERA ring with a description of what it has. Updated values for Currents and Luminosity are needed! DESY Hamburg, Germany H1 & ZEUS are general purpose detectors
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HERA Luminosity Total HERA I Integrated Luminosity from ’93 ’00: ~193 pb-1 Total HERA II Integrated Luminosity from ’02 ’07 : ~561 pb-1 HERA II HERA I Obligatory plot of the HERA Luminosity Should probably include the actual rate increase that the upgrade provided… 99-00 run has HERA 94.95 ZEUS on-tape 73.4 Events * 106 The First half of ’02 has ~78 pb^-1 by itself Running Period Years e-p e+p HERA I 300 10.3 71.0 320 17.1 94.9 HERA Upgrade! HERA II 290.9 270.2
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ZEUS Detector Proton (920 GeV) Electron (27.5 GeV)
Things to highlight; CTD: BCAL
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Central Tracking Detector
p View Along Beam Pipe Side View Cylindrical Drift Chamber inside 1.43 T Solenoid Region of good acceptance: < h < 1.75 Good track resolution Measures event vertex Vertex Resolution Transverse (x-y): 1mm Longitudinal (z): 4mm Mention that the +Z axis is along the Proton Beam FTD: -3 planar drift chambers -Polar Angles deg RTD: -1 planar drift chamber -Measure scattered e in low Q2 events CTD: -Radius: 86cm, Polar Angle: deg -9 superlayers, each with 8 sense wire layers, 576 drift cells, 4608 sense wires and field wires -Gas mixture of Ar:CO2:C2H6 (90:8:2) -Signal wire: gold plated Mb Pot wire: gold plated Tungsten -Signal wires (+) and potential wires (Ground) -Charged particle ionizes atoms and electrons travel to signal wire. Time of arrival gives track info R= p/qB R=mv/qB relativistic Pseudorapidity
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Uranium-Scintillator Calorimeter
h = 1.1 q = 36.7o h = 0.0 q = 90.0o h = q = 129.1o h = 3.0 q = 5.7o h = q = 174.3o Electromagnetic (EMC) Cells Hadronic (HAC) Cells Depleted Uranium and Scintillator 99.8% Solid Angle Coverage Near Hermetic Energy Resolution (single particle test beam) Electromagnetic: Hadronic: Compensating Equal signal from hadrons and g / electron particles of same energy Measures energy and position of final state particles Detailed description of the Cal.
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Barrel Preshower Detector
As a particle moves from the interaction point it passes through dead material in front of the BCAL This leads to energy loss before measurement BCAL Presampler measurement Measured energy is proportional to the number of particles, not the energy of the individual particles Neutral meson separation
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ZEUS Trigger First Level Second Level Third Level
107 Hz Crossing Rate, 105 Hz Background Rate, 10 Hz Physics Rate First Level Dedicated custom hardware Pipelined without deadtime Global and regional energy sums Isolated m and e+ recognition Track quality information Second Level Commodity Transputers Calorimeter timing cuts E - pz cuts Energy, momentum conservation Vertex information Simple physics filters Third Level Commodity processor farm Full event info available Refined jet and electron finding Advanced physics filters Description of the Trigger DST Bit 79 FLT cuts on; BCAL EMC energy, RCAL EMC energy, Total EMC energy, Total Cal energy, E_t in Cal, Require at least 1 good track SLT cuts on; Z_VTX from the CTD, (E-Pz), Box cut, (Pz/E) TLT cuts on; An “Electron” candidate must be found in ( |eta|<2 ) with ( Et > 3.5 GeV )
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Kinematic Variables Center of Mass Energy of ep system squared
s = (p+k)2 ~ 4EpEe Center of Mass Energy of gp system squared W2 = (q+p)2 Photon Virtuality (4-momentum transfer squared at electron vertex) q2 = -Q2 = (k-k’)2 Fraction of Proton’s Momentum carried by struck quark x = Q2/(2p·q) Fraction of e’s energy transferred to Proton in Proton’s rest frame y = (p·q)/(p·k) Variables are related Q2 = sxy Basic high energy variables, e.g. s, w^2, Q^2, x, y, etc …
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Kinematic Reconstruction
Four measured quantities: EH, gH, E‘e, qe Three reconstruction methods used: Double angle, Electron method, Jaquet-Blondel Methods have different resolutions over different kinematic regions Photoproduction scattered electron escapes down beampipe Jaquet-Blondel gH qe Variable Double angle method (gH,qe) Electron method (E’e,qe) Jaquet-Blondel (EH,gH) Q2 x y Main point: Many different ways to reconstruct the important variables Note: although I use all three, I don’t necessarily use all three for each variable, but overall, I use them all.
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Model Events: PYTHIA Parton Level Hadron Level Model Detector Level
Matrix element + Parton shower Hadron Level Model Fragmentation Model Lund String (Next Slide) Detector Level Detector simulation based on GEANT Parton Level Hadron Level Detector Simulation Factorization: Long range interactions below certain scale absorbed into proton’s structure PDFs
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Lund String Fragmentation
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CAL Islands & Energy Flow Objects
CAL cells have a finite size Particles transverse multiple cells Reconstruct particles by clustering cells with highest energy neighbor “CAL Islands” Can be thought of as number of local maxima CAL Islands are clustered via probability functions of angular separation Tracks are extrapolated to an impact point with the CAL CAL Islands and tracks are clustered if the track’s extrapolated path is within 20cm of the CAL island “Energy Flow Objects”
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Jet Finding: Longitudinally Invariant KT Algorithm
In ep: kT is transverse momentum with respect to beamline For every object i and every pair of objects i, j compute di = E2T,i (distance to beamline in momentum space) dij = min{E2T,i,E2T,j}[Dh2 + Df2] (distance between objects) Calculate min{ di , dij } for all objects If (dij/R2) is the smallest, combine objects i and j into a new object If di is the smallest, then object i is a jet Advantages: No ambiguities (no seed required and no overlapping jets) kT distributions can be predicted by QCD The d^2_ij definition looks funny… Mention that the parameter ‘R’ is similar to the cone size from the cone algorithm.
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Isolated g Identification
Photons Isolated e.m. calorimeter shower No associated track Neutral mesons decay into photons Produce wider shower in the calorimeter (width) Shower shape variables Deposit energy at different rates Barrel Preshower Detector (# of particles) Barrel Preshower Detector Barrel EMC Calorimeter Barrel HAC Calorimeter g p0
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Two methods can be used:
g Finders Two methods can be used: ELEC5 Modified e- finder 10 most energetic EMC cells Energy in cones around it Calculate & cut on a probibility Extrapolate tracks to CAL for rejection Standard method & relatively simple Cone based isolation KTCLUS Modified KTCLUS jet finder Run KT Algorithm on EFOs Only jets that are trackless, electromagnetic & small number of CAL islands Inherent track handling & kT-Cluster based isolation New use as a g finder ELEC5: 10 most energetic EMC cells - If with 12 deg only highest energy one is considered Calculated the energy in cones around it - EMC inner = Energy with 0.25 rad - EMC outer = Energy in annulus of cones of radii 0.25 and 0.4 - HAC1 inner = HAC1 energy in cone of 0.3 rad - HAC2 inner = HAC2 energy in cone of 0.3 rad Quality factor includes - Energy weighted radius of emc energy within a 0.25 rad cone - EMC outer / EMC inner - HAC1 inner / (EMC inner + HAC1 inner) - HAC2 inner / (EMC inner + HAC2 inner) Cut on - N_cells <= 35 - Quality factor - E_e > 2 GeV - EMC to total > 0.9
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Deeply Virtual Compton Scattering
Provides a clean photon sample DVCS Sample: Only one track per event (e±) Two isolated EM deposits (g,e±) No hadronic activity Data sample Other cuts as in the paper: “Measurement of Deeply Virtual Compton Scattering at HERA” Physics Letters B537 (2003) 46-62 g Detection of DVCS photons: BPRE BCAL emc BCAL hac
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HERA I: DVCS Data vs. GenDVCS
Energy deposited in BPRE in mips GenDVCS MC Minimum ionizing particle units (mips) Counts the number of charged particles passing through it Improved agreement with additional dead material in MC Probability for a photon to convert (ge+e-) well reproduced Validates the modeling of photons by GenDVCS MC
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HERA I: Prompt g with Jet in PHP
HERA I, Data, 77.1 pb-1 Photoproduction Sample: 0.2 ≤ YJB ≤ 0.8 Q2 <1 GeV2 2 or more jets from the Kt algorithm: Photon candidate: EEMC/ETotal ≥ 0.9 -0.7 ≤ hg ≤ 1.1 (BCAL region) 5.0 ≤ Etg ≤ 16.0 GeV No associated track or within 1.0 in h,j Low multiplicity: # of energy flow objects Associated jet: EEMC/ETotal ≤ 0.9 -1.6 ≤ hjet ≤ 2.4 6.0 ≤ Etjet ≤ 17.0 GeV (Note: Etg cut ≠ Etjet cut) Jet g
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HERA I: PHP Prompt g + Jet LO MC
Data will contain prompt g with jet & inclusive Dijet events Two PYTHIA MC sample must be generated Signal MC: PYTHIA Prompt photon with jet subprocess only Background MC: Inclusive PYTHIA Dijet MC without the Prompt photon subprocess The relative amount of each is unknown Add the Signal and Background MC according to a fit to BPRE distribution (g response confirmed DVCS photons) Require agreement in lowest BPRE bin Use fractions from fit for analysis
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Prompt g + Jet Data vs. MC Fit sum of prompt g MC & background MC to Barrel Preshower Detector (BPRE) Require agreement in lowest BPRE bin Determine relative amounts Large fraction of events with < 1 MIP high purity Excess of MC events in 1-3 mip range No cut used Tail well described Examine other variables DET = ET,Total – ET,(g + jet) Dr = Distance (in hf) from g to any track Both are well reproduced by the sum of MCs Description verified via comparison between DVCS Data and GenDVCS MC
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Identification of Jet & g by emc fraction
Fraction of energy in BEMC for g & jet For Jet: EEMC/ETotal ≤ 0.9 For g: EEMC/ETotal ≥ 0.9 Well reconstructed Minor shift towards lower Eemcg/Etotalg Prevents double counting, jet & g also identified by: tracking distinction and number of energy flow objects Unique Assignments
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Prompt g with Jet Data vs. MC
ETg and ETjet well described hg and hjet shifted forward in data Indication that higher order diagrams contribute
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Prompt g with Jet Data vs. MC: xg
xg = fraction of exchange photon’s momentum involved in the collision PYTHIA has deficiency in Resolved PHP Indication that higher order diagrams contribute
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Differential Cross Section & Correction Factors
N is the number of events in bin of size DY for the integrated luminosity L Number of reconstructed PYTHIA events C= Number of hadron level prompt photon with jet PYTHIA events Only small deviations from bin to bin High-hg and Low-xg are ~3x higher Decrease in efficiency in forward region Isolation from proton remnant
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Prompt g + Jet in PHP HERWIG 13.5 pb PYTHIA 20.0 pb KZ 23.3 pb FGH
LZ pb
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Prompt g + Jet in PHP Data vs. LO MC
I use one global fit of dijet background to prompt g signal MC Published ZEUS fits background ratio in each bin ETg, ETjet, hg and hjet Agree well except for: high-hg and hjet high-hg, has low efficiency hjet, depends on photon in an indirect way Data above the MC predictions Particularly at low ET High order diagrams ZEUS 99-00, This Thesis ZEUS 99-00, Published PYTHIA 6.3 HERWIG 6.5 ETg (GeV) hg ETjet (GeV) hjet Results published: Eur.Phys.J.C49: ,2007
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Prompt g + Jet in PHP Data vs. NLO Calculation
ZEUS H1 Published ZEUS Result Published H1 Result Published H1 Result ETg (GeV) ETg (GeV) hg Published ZEUS Result LO, HERWIG & PYTHIA: Underestimate measured cross section, particularly at Low-ETg NLO, KZ & FGH: Improved agreement with measured cross section NLO, LZ: Improves description for Low Etg & low hg hg Eur.Phys.J.C49: ,2007
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Prompt g + Jet in PHP Data vs. NLO Calculation
ZEUS H1 Published ZEUS Result Published H1 Result Published H1 Result ETjet (GeV) ETjet (GeV) hjet Published ZEUS Result LO, HERWIG & PYTHIA: Underestimate measured cross section, particularly at high hjet NLO, KZ & FGH: Improved agreement with measured cross section NLO, LZ: Improves description of high hjet hjet Eur.Phys.J.C49: ,2007
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Prompt g + Jet in PHP: xg Published ZEUS Result
ZEUS 99-00, This Thesis ZEUS 99-00, Published PYTHIA 6.3 HERWIG 6.5 Published ZEUS Result Agreement with published ZEUS data Published ZEUS fits background ratio in each bin KZ & FGH: Improvement compared to LO MC, particularly at high Xg (Direct contribution) LZ: Improvement for low Xg (Resolved contribution) Eur.Phys.J.C49: ,2007
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Prompt Photons in DIS Same as photoproduction:
Isolated photon Confirm description via DVCS study Hadronic activity Separation from background (neutral hadrons) Additional selection and tools: ELEC5 photon finder also used Shower shapes No jet requirement Scattered electron Large contribution from ISR & FSR from e± ARIADNE for background simulation e±
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Photon Finding by Shower Shapes
Combine signal (PYTHIA) & background (ARIADNE) MC to describe fmax & <dz> p0 Energy in most energetic BEMC cell Total energy of cluster fmax= Energy weighted width in z direction fmax <dz> (cells)
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HERA II: DVCS data Start with cuts as the HERA I, 99-00, DVCS data study Only one track per event (e±) Two isolated EM deposits (g,e±) No hadronic activity New Requirements: More restrictive hg requirements -0.7 ≤ hg ≤ 0.9 Both ELEC5 and KT algorithms used BPRE, fmax and <dz> studied <dz> ≤ 0.65 cells Provides a comparison between: KTCLUS Vs. ELEC5 BPRE vs. fmax vs. <dz>
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HERA II: DVCS Data vs. GenDVCS (ELEC5)
g selected with ELEC5 photon finder ETg and hg not well reproduced Confirm agreement in each region of ETg and hg (Next slide) Number of cells in g, BPRE, fmax and <dz> are well reproduced
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HERA II: DVCS Data vs. GenDVCS hg regions (ELEC5)
BCAL g g Dead material (Exaggerated) No disagreement for ranges of ETg (Not shown) Central regions show more compact photons Less dead material Shorter distances Interaction point
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HERA II: DVCS Data vs. GenDVCS (KTCLUS)
g selected with KTCLUS photon finder Agrees with what was seen for ELEC5 selection Number of cells in g, BPRE, fmax and <dz> are well reproduced <dz> Is slightly broader than ELEC5
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HERA II DVCS: ELEC5 vs. KTCLUS
Select photons found by ELEC5 and KTCLUS Compare ELEC5 and KTCLUS reconstruction KT clusters more cells into photon ETg is similar fmax and <dz> show a slight broadening for KT Good agreement between ELEC5 and KTCLUS reconstruction of HERA II DVCS photons
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HERA II: Prompt Photons in DIS
g HERA II, Data,109 pb-1 No jet requirement Deep Inelastic Scattering Sample: Scattered e- in RCAL with Ee-> 10 GeV Q2 > 35 GeV2 35 < E-PZ < 65 GeV At least 2 tracks Photon candidate from Kt algorithm: EEMC/ETotal ≥ 0.9 -0.7 ≤ hg ≤ 0.9 (BCAL region) 5.0 ≤ Etg ≤ 20.0 GeV No associated track or within 0.2 in h,j Photon candidate from ELEC5 algorithm: ET (GeV) j e- h g
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KT & ELEC5: ETg Reconstruction
HERA II, PYTHIA, prompt photons (No jet requirement) KTCLUS ELEC5 Both show good resolution Both usable as photon finders in DIS
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HERA II, Prompt g in DIS: KTCLUS vs. ELEC5 Track Isolation
HERA II prompt photons (No jet requirement) 04-05 Data Vs. PYTHIA (Prompt g MC) & ARIADNE (Inclusive Dijet MC) KTCLUS ELEC5 Figures shown are normalized for Dr > 1.1 Similar treatment for prompt photons (PYTHIA) Different treatment of neutral mesons (ARIADNE) KTCLUS works better Neutral mesons originating from jets get clustered with jet Rejected by proximity of tracks
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HERA II: Fit Dijet Background & Prompt g Signal MCs
HERA II prompt photon (No jet requirement) Require Dr > 0.2 Fit ratio of PYTHIA (Prompt g MC) to ARIADNE (Inclusive Dijet MC) Perform c2 fit independently for each variable for each photon finder (Next slide) Vary c2 per degree of freedom by 1.0 for uncertainty on fit Calculate the cross section with each independent value for comparison (Next slide) ELEC5 KTCLUS ELEC5 KTCLUS ELEC5 KTCLUS
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HERA II: Prompt g in DIS cross section
HERA II prompt photon in DIS, cross section (No jet requirement) Large uncertainty on fit fmax & <dz> are consistent BPRE predicts more prompt photon PYTHIA than fmax & <dz> % signal MC for KT changes little with increasing Dr KT and ELEC5 start to converge for Dr>1.1 Distribution % signal MC % background MC s (pb) fmax 11.9 88.1 1.75 5.8±1.0 <dz> 15.7 84.3 0.77 6.9±1.3 BPRE 52.2 47.8 2.86 30.3 69.7 0.73 8.58±2.6 34.7 65.3 0.72 9.74±3.2 73.5 26.5 2.17 32.8 67.2 0.75 7.31± .35 40.1 59.9 0.52 8.26± .38 64.0 36.0 1.72 47.4 52.6 0.59 9.02± .44 54.4 45.6 0.62 9.92± .48 79.3 20.7 1.49 ELEC5 Dr > 0.2 KTCLUS Previous had ~20% errors - Used lower E_t^gamma range - Show chi^2 equation for rand error on fit. - poor eta^gamma description ELEC5 Dr > 1.1 KTCLUS
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Summary Photoproduction of prompt photons with jets:
Measured for 77.1 pb-1of data: s(e±p e± + prompt g + jet + X) = (stat.) (syst.) pb First ZEUS use of a preshower detector to identify prompt g PYTHIA & HERWIG MC underestimate the data by ~ x2 Particularly in low-Et & resolved PHP regions, largest ratios of NLO/LO KZ, FGH & LZ NLO calculations underestimate data by 15-35%, mostly in the forward jet region & low-Et regions Indication that higher order diagrams are needed KZ & FGH best model direct photoproduction region while LZ best models resolved photoproduction region. Cause: Gluon & photon PDFs contribute to resolved PHP Results published: Eur.Phys.J.C49: ,2007 First HERA-II measurement of prompt photons in DIS New tools developed and tested which provide more effective extraction of prompt g signal Final HERA-II BPRE calibration (done) Combinations with shower shape tools to provide ultimate g selector (Next)
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The End. Now for backup slides …
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Jet Finding: Cone Algorithm
Maximize total ET of hadrons in cone of fixed size Procedure: Construct seeds (starting positions for cone) Move cone around until ET is maximized Determine the merging of overlapping cones Issues: Overlapping Seed, Energy threshold Infrared unsafe, s ∞ as seed threshold 0 For the Jet:
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Minimum ETJet>Minimum ETg in Prompt g with jet in PHP
5.0 ≤ Etg ≤ 16.0 GeV 6.0 ≤ Etjet ≤ 17.0 GeV Improved agreement between data & all Theories 7.0 ≤ Etg ≤ 16.0 GeV 6.0 ≤ Etjet ≤ 17.0 GeV
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