High Pt Top Quark Mass Reconstruction in CMS

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1 High Pt Top Quark Mass Reconstruction in CMS IJAZ AHMED National Centre for Physics (NCP), Islamabad First IPM meeting on LHC Physics, April Isfahan,, Iran

2 Outlines o o o o o o o o o o Introduction to LHC and CMS Motivations of Top Physics Topology of Lepton + Jets High Pt top basic idea Methods for jets selection Top quark mass reconstruction from jets Jets clustering and clusters method for M top top clus Underlying Event (UE clus ) estimation and subtraction Systematics errors Summary UE clus

3 Large Hadron Collider (LHC) L 2 γfkbnp = F = 10 cm s * 4πεnβ Integrated luminosity=10fb -1

4 RPCs assembled at NCP-QAU campus Compact Muon Solenoid (CMS) Coordinate axes x,y,z,θ,φ

5 Top Quark Properties, Production and Decay Striking Features of top quark Fermion (spin ½,, charge 2/3) Heaviest particle Origin of mass, EWSB, Higgs Short life time (τ( top =1/ 1/Γ top, τ had =1/Λ No hadronic bound state Yukawa coupling-unity unity /Λ QCD ) 90% 10% NLO Cross-section for tt~ production at LHC is σ(tt)~830pb ~4.5% ~66.5% ~29% need to reconstruct and identify 1 lepton (electron, muon) 2 b-jets 2 light jets (u,d,c,s) missing E T (neutrino) LHC is a top quark production factory (8 M/year)

6 Boosted Top Quark Analysis Highly boosted top quarks : Decay back-to to-back Higher top boost : Small opening angle of W-boson and b-quark High Pt top quarks : Large probability of jets overlaping in space. Invariant mass of the objects (jets/clusters) in larger cone around the top quark flight direction : Correlation with the real top quark mass. Top quark needs to have a larger boost : Pt > 200 GeV. WHY --? Reduces the combinatorial background. The systematic effects due to jet energy calibration and gluon effects Potential to reduce the systematic errors

7 Event Selection at Partonic Level tt bw + bw bbqqμν μ P top t > 200 GeV,, η < 3.0 P anti-top top t > 200 GeV,, η < tt bw bw bqqblν ( l = μ) P μ t > 30 GeV,, η < 2.0 P q t > 20 GeV,, η < 2.5 Fast simulation based samples 165 Top mass point = 20K events 175 Top mass point = 50K events 185 Top mass point = 20K events Pile-up events are included Cross-section approximately 1% of the total tt cross-section No. of events With pile-up Int. luminosity fb -1 X-section pb tt bw + bw bqqblν ( l = μ)

8 Distributions at Production Vertices P t top MC η top ΔR(q,qbar) P t W ΔR(top,b-par) ΔR(top,W) ΔR(top, min W-quarks) ΔR(top, max W-quarks)

9 Reconstruction Techniques MET-> Missing Transverse Energy MET > 30 GeV At least 1 iso. muon, P t >20 GeV, η <2.0 leptonic W reco mass

10 Leading jets and muons P t distributions Muon Reconstruction and Isolation Isolation Criteria Most likely muon tracks

11 Leading Jets Reconstruction and Identification combined b-tag discriminator combined b-tag disc. > 0 (60% b-tag efficiency based on the secondary vertex, a vertiex which is displaced from the primary vertex. Leading light jets P t P t jets > 20 GeV Leading b-jets P t P t b-jets > 20 GeV

12 2 light jets corresponds to 2 quarks from W boson Four possible jet combinations Jet-Parton Matching Take best combination which gives correctly matching (J1,j2), (q1, q2) worstof2 quarks matching angles Correctly matched if ΔR < 0.4 *************** (J1,q1), (j1,q2) (j2, q1), (j2,q2) ΔR(j1,q1) ΔR(j1,q2) ΔR(j2,q1) ΔR(j2,q2) I1=Max (ΔR(j1,q1),ΔR(j1,q2)) I2=Max (ΔR(j2,q1),ΔR(j2,q2)) Min(I1, I2)<0.4

13 Top Quark Selection: Leading jets Topology 1 quark matched = 42.7% 2 quarks matched = 18.17% Kinematical cuts Selection efficiency % No. of events Before selection no of iso. muons iso muon P t > 30 GeV 1 reco light jets P t > 20 GeV 2 reco light jets η < b-jet P t > GeV 2 b-jets η < m jj jj m nom W < 20 GeV m nom W = (gaussian( fitted correctly jet-parton matching) b-jet with biggest angle wr.t muon called Hadronic b-jets

14 Top Quark Selection: Four jets Topology Hadronic top selection Four highest Pt jets selection b-jets identification with b-taggingb Two light jets invariant mass reconstruction Hadronic b-jet requires for away from isolated muon with maximum distance 0.4 or closests to light jets 1 quark matched = 20.98% 2 quarks matched = 43.26% Kinematical cuts Selection efficiency No. of % events selection Before selection no of iso muons iso muon P t > 30 GeV 1 reco light jets P t > 20 GeV Exectly 4 jets η < Exectly 2 light jets Exectly 2 b-jets m jj m W < 20 GeV

15 Top Quark Selection: j+j Kinematical cuts W Selection efficiency % No. of events Before selection no of iso muons, P t > 30 GeV,, η < quark matched = 20.76% 2 quarks matched = 40.6% 2 jj W, P t > 20 GeV, η < b-jets P t > 20 GeV, η < m jj m W < 20 GeV

16 Comments on m jjb Study based on shape of distributions for top direction determination. Explored three types of selection criteria for hadronic top mass reconstruction Four jets selection results low efficiency with higher W purity Jets with invariant mass close to W have higher efficiency with intermediate purity of W Leading jets selection gives sharp and narrow dist. shape with less long tail behaviour and reasonable selection efficiency

17 Top Quark Selection: Leading jets Topology First peak from the wrong jet combination Exchanging the leptonic b-jet into hadronic b-jet One of the 4 leading jets could be coming from the gluon radiation Soft QCD events Second peak corresponds to the correct combinations At preselection level we demand high Pt jets Wrong Right (GeV/c) 300 Mean Meany RMS RMSy T Top P M jjb (P (P T top top >200 GeV) Efficiency ~ 2% ΔR(jets-jets)

18 Calorimetric Clusters Reconstruction Method Invariant mass of all calorimeters clusters in Δη Δϕ around top direction m 2 clusters nδr nδr ( ΔR) = ( E P ) = ( E i) ( P i i= 0.7 i= 0.7 ) 2 E i represents total energy of the ith cluster ndr runs over all clusters within selected cone size P i its 3-momenta vector Known: : E,η, ϕ about clusters Assumptions: considering particles to be mass-less m E P Px = E sinϑ cosϕ Py = E sinϑ sinϕ Pz = E cosϑ

19 Reco clusters pseudo-rapidy Calorimeters identifications Th E clus >1 MeV 2 R = X + ECAL ( Z <350 cm, R < 170 cm) HCAL ( Z <350 cm, R < 300 cm) Y 2

20 Clusters Transverse Energy Deposition

21 Clusters lie close to the top quark flight direction Jets decay back-back Reduce intrinsic omplexities of effects due to energy leakage outside a narrow cone Reduce system errors arising due to jet calibration

22 Underlying Event Estimation Method It is not only minimum bias event The underlying event is everything except the two outgoing hard scattered jets In a hard scattering process, the underlying event has a hard component (initial+final state radiation and particles from the outgoing hard scattered partons) and a soft component (beam-beam remnants) Jet Isolation variable Jet Isolation ΔR = ΔR = ΔR = ΔR = ΔR = Hadronic Calorimeter Electromagnetic Calorimeter <E t > / cluster (MeV) < no of clusters > / high P t event η <0.7 η < 1.4 η < 2.1 η < 3.0 η > 3.0 η < Min ΔR(jets,clus)>0.7

23 Top Quark Mass M clus Before UE Subtraction top clus and UE clus and UE clus Subtraction After UE Subtraction A correlation with a slop about is observed, which implies that error of 0.9 GeV in the mean of peak translates to an statistical uncertainity of 0.9/0.786 = GeV/c in M jjb and GeV/c in M top clus 50K events corresponds to 7.2 fb -1, statistical uncertainty about δm= GeV on top mass.

24 Summary of Expected Systematic Source of uncertainty Re-calibration Electronic noise ISR on/off FSR on/off B-quark fragmentation UE estimate (+-10%) Cluster mis calibration:+-1(5)% Calorimeter: e/h=1.25 (1.63) Dm top (GeV/c 2 ) (1.3) 0.8(0.3)

25 Summary An alternate method for top mass reconstruction in CMS is presented, which strongly depends on CMS Calorimeters. A new method for Underlying Event (UE) estimation, subtraction and calibration is developed. This analysis is performed with both Full and Fast Simulations techniques. Statistical error on top mass M jjb ( GeV) and GeV/c in M clus top clus is is estimated.

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