the discovery potential of the higgs boson at cms in the four lepton final state
DESCRIPTION
The Discovery Potential of the Higgs Boson at CMS in the Four Lepton Final State. David Futyan UC Riverside. Overview. Introduction: LHC and CMS Motivation for Higgs boson searches Decay channels observable at the LHC Signal and background processes: Cross-sections and branching ratios - PowerPoint PPT PresentationTRANSCRIPT
David FutyanUC Riverside
1Higgs to Four Leptons at CMS18th May 2006
The Discovery Potential of the Higgs Boson at CMS in the Four Lepton Final
State
The Discovery Potential of the Higgs Boson at CMS in the Four Lepton Final
State
David Futyan
UC Riverside
David FutyanUC Riverside
2Higgs to Four Leptons at CMS18th May 2006
Overview
Introduction:LHC and CMS
Motivation for Higgs boson searches
Decay channels observable at the LHC
Signal and background processes:Cross-sections and branching ratios
Event generation and simulation
Online selection
Offline reconstruction of electrons and muons
Offline event selection
Evaluation of background from data
Significance with background systematics
Potential for measurement of Higgs boson properties:Mass, width, cross-section
Experimental systematic uncertainties
David FutyanUC Riverside
3Higgs to Four Leptons at CMS18th May 2006
The LHC (Large Hadron Collider)
CERNCERN
CMSCMS
SwitzerlandSwitzerland
FranceFranceALTASALTAS
LHCbLHCb
ALICEALICE
GenevaGeneva
Proton-proton collider:√s = 14 TeV
Luminosity = 1034 cm-2s-1
17 miles in circumference
Due to begin operation summer 2007
David FutyanUC Riverside
4Higgs to Four Leptons at CMS18th May 2006
The CMS Detector (Compact Muon Solenoid)
Muon Chambers
4 Tesla SuperconductingSolenoid
Silicon Tracker
Silicon Pixel Detector
HCAL
Crystal ECAL
Magnet Return Yoke
General purpose detector
Over 2000 people from
160 institutes
12500 tonnes
General purpose detector
Over 2000 people from
160 institutes
12500 tonnes
David FutyanUC Riverside
5Higgs to Four Leptons at CMS18th May 2006
CMS Detector Slice
David FutyanUC Riverside
6Higgs to Four Leptons at CMS18th May 2006
CMS Under Construction
David FutyanUC Riverside
7Higgs to Four Leptons at CMS18th May 2006
The Higgs Boson
A key objective of the LHC is to elucidate the origin of mass.
Higgs mechanism:Provides an explanation for electroweak symmetry breaking in the Standard Model:
• Gives rise to the massive Z and W vector bosons and the massless photon.
=>Lies at the core of the Standard Model - without the Higgs mechanism the SM is neither consistent nor complete.
Provides mechanism through which gauge bosons and fermions acquire mass.
Predicts the existence of one physical scalar, neutral Higgs boson.
David FutyanUC Riverside
8Higgs to Four Leptons at CMS18th May 2006
Higgs Boson Mass Constraints
Higgs boson mass not predicted by the theory - free parameter of the standard Model:
Must be determined experimentally.
Current limits:Combined lower limit from direct searches
at LEP: mH > 114.4 GeV/c2 (95% CL).
Higgs boson contributes to radiative
corrections to electroweak observables.
Consistency fits to electroweak
precision measurements from LEP, SLC,
Tevatron yield an indirect upper limit:
mH < 207 GeV/c2 (95% CL).
David FutyanUC Riverside
9Higgs to Four Leptons at CMS18th May 2006
The Higgs Boson Production at the LHC
Dominant production mechanisms:
Gluon-gluon fusion contributes around 80% of the total
Decay channels:
David FutyanUC Riverside
10Higgs to Four Leptons at CMS18th May 2006
Decay channels of SM Higgs boson which yield highest sensitivity for discovery at the LHC:
H W+W- 2l2
H ZZ(*) 4l
H γγ
LHC Search Channels for the Higgs Boson
l = electron or muon
LEP Limit = 114.4 GeV/c2
EX
CL
UD
ED
David FutyanUC Riverside
11Higgs to Four Leptons at CMS18th May 2006
The HZZ4l Channel
Most sensitive channel for the discovery of the Higgs boson at the LHC for a wide range of masses.
Exceptionally clean signature of 4 isolated high pT leptons, with relatively
small backgrounds.
For mH>2mZ: “Golden channel”, with 2 real Z bosons
Mass of Higgs boson can be directly reconstructed from the invariant mass of the 4 leptons
Direct measurement of mass
Direct measurement of width for large mH (>200 GeV)
David FutyanUC Riverside
12Higgs to Four Leptons at CMS18th May 2006
General Strategy
Detailed analyses have been developed largely independently for each of the three final states:
4e: LLR (France), Split (Croatia), Rome/INFN
4Florida, FNAL, Cambridge,
2e2: UC Riverside, Bari/INFN (Italy)
Common to all channels (allows coherent combination of results):Event generation, detector simulation.
Signal and background production and decay processes considered and their NLO cross-sections and branching ratios.
Straight forward counting experiment approach - Cut based analyses:
• Look for local event excess over expected background.
Details of event selections developed differently in each of the 3 channels.
Analyses are designed as if real data were being analyzed:Full detailed simulation of CMS detector geometry and response.
Simulation of LHC conditions in first years of running at L = 2×1033cm-2s-1.
Full treatment of systematic errors included in significance evaluation.
Techniques developed to measure the size of the residual background from LHC data.
David FutyanUC Riverside
13Higgs to Four Leptons at CMS18th May 2006
Production Cross-Section and Branching Ratio
BR(HZZ(*)4l) is the branching ratio to a final state containing only e and including decay products.
Sum of gg fusion, WW fusion, ZZ fusion BR(HZZ(*)4l), including BR(e)
David FutyanUC Riverside
14Higgs to Four Leptons at CMS18th May 2006
Enhancement for 4e and 4 Final States
For 4e and 4 final states, enhancement of signal cross-section due to constructive final state interference between like-sign electrons or muons originating from different Z(*) bosons:
Calculated usingCompHEP
David FutyanUC Riverside
15Higgs to Four Leptons at CMS18th May 2006
Signal Monte Carlo Event Generation
Signal samples generated with PYTHIA for 18 mass points between 115 and 600 GeV.
Higgs production mechanisms simulated:gg fusion, WW fusion, ZZ fusion.
Z bosons forced to decay to e,with forced to decay to e10000 events generated per mass point, for each final state (4e, 4, 2e2)Events re-weighted to correspond to:
€
σ pp → H( ) × BR H → ZZ( ) × BR Z → ll( )2
€
BR Z → ll( ) = 0.101where
David FutyanUC Riverside
16Higgs to Four Leptons at CMS18th May 2006
Background Processes
Reducible backgrounds:
qq/gg tt W+W-bb 4l + X (PYTHIA)
qq/gg (Z(*)/γ*) bb 4l + X (CompHEP interfaced with PYTHIA)
Irreducible non-resonant continuum background:
qq Z(*)/γ*)(Z(*)/γ*) 4l (PYTHIA)
Process σLO(pb)NLO
K-factorσNLO(pb)
ttW+W-bb - - 840
e+e-bb 115 2.40.3 276
bb 116 2.40.3 279
Z(*)/γ*)(Z(*)/γ*) 18.7KNLO(m4l)
+0.228.9
(Z(*)/γ*) bb {
David FutyanUC Riverside
17Higgs to Four Leptons at CMS18th May 2006
t-channel dominates:90% m4l<2mZ, ~100% m4l>2mZ
s-channel simulated for 4 final state only
MCFM generator used to calculate an K-factor to account for all NLO processes:
Function of 4 lepton invariant mass:
Z(*)/γ*)(Z(*)/γ*) Background
Z(*)/γ*
Z(*)/γ*
l+
l-
l+
l-
q
q
Z(*)/γ*
Z(*)/γ*
q
ql-l-
l+
l+
q = u,d,s,c or b
LO cross-section 18.07pb (from MCFM generator):
David FutyanUC Riverside
18Higgs to Four Leptons at CMS18th May 2006
Significant NNLO box diagram process
not included in the simulation:
TOPREX generator used to obtain ratio σ(ggZZ4l)/σ(qqZZ4l): ~20%
Total NLO cross-section = σLO (K(m4l) + 0.2) = 29pb (for average K(m4l)=1.35)
All events re-weighted at analysis level using this m4l dependent K-factor.
Z(*)/γ*)(Z(*)/γ*) Background
Z(*)/γ*
Z(*)/γ*g
g
l+
l-
l+
l-
q
David FutyanUC Riverside
19Higgs to Four Leptons at CMS18th May 2006
Other Potential Backgrounds
Zcc can also give 4 leptons in the final state:Investigated with full detector simulation - found to be negligible
Other potential sources of background investigated at generator level:Wbb
Wcc
Single top
bbbb
bbcc
cccc
All found to be negligible
}All leptons non-isolated
}One or more fake leptons
David FutyanUC Riverside
20Higgs to Four Leptons at CMS18th May 2006
Detector Simulation
Generated Monte Carlo events for all generated samples are passed through a highly detailed simulation of the CMS detector, including:
Precise simulation of the complete detector geometry: all material in the detector including cables, services etc.
Detailed simulation of the 4T magnetic field.
Full simulation of detector response for all detector components: information used as input to the analysis fully simulates real LHC data.
Generated events are mixed with pile-up events to simulate the LHC conditions at “low luminosity” (2×1033cm-2s-1)
Several inelastic pp collisions per bunch crossing
Corresponds to conditions during the initial phase of data taking.
David FutyanUC Riverside
21Higgs to Four Leptons at CMS18th May 2006
Cross-Section Times Branching Ratio
Generator level kinematic preselection includes the final state lepton flavor requirement (4e, 2 or 2e2), plus generator level cuts:
Electrons: pT>5GeV, ||<2.5
Muons: pT>3GeV, ||<2.4
For 2e2 case:
tt Zbb ZZ
σfb 840x103 555x103 28.9x103
σ.BR.fb
744 390 37.0
David FutyanUC Riverside
22Higgs to Four Leptons at CMS18th May 2006
4-lepton Invariant Mass After Generator Pre-selection
Same on linear scale
s-channel ZZ production
mH=140 GeV signal
David FutyanUC Riverside
23Higgs to Four Leptons at CMS18th May 2006
Online Selection
LHC bunch crossing rate is 40MHz. Multiple events per bunch crossing
CMS Trigger consists of a Level-1 trigger followed by a High Level Trigger. HLT is a software trigger involving full reconstruction of physics objects.
Triggers chosen for HZZ4l channels:
Single triggers were also considered for the 2e2 channel but were found not to benefit the final significance.
Channel Trigger
single electron || double electron
Single muon || double muon
double electron || double muon
David FutyanUC Riverside
24Higgs to Four Leptons at CMS18th May 2006
HLT Selection Efficiencies
tt: 0.399 ± 0.001Zbb: 0.661 ± 0.001ZZ: 0.896 ± 0.004
tt: 0.399 ± 0.001Zbb: 0.661 ± 0.001ZZ: 0.896 ± 0.004
For 4 channel, HLT efficiency is close to 100% for all samples
4e 2e2
David FutyanUC Riverside
25Higgs to Four Leptons at CMS18th May 2006
Muon Reconstruction and Selection
Muons are reconstructed with high efficiency with CMS:
Require + and - reconstructed with pT>7 in the barrel and pT>13 in the
endcaps.
Require M(μ+μ-)>12GeV for all permutations (excludes low mass resonances).
These cuts have little effect on signal efficiency.
David FutyanUC Riverside
26Higgs to Four Leptons at CMS18th May 2006
Electron Reconstruction
Lowest pT electron in HZZ4e events around 10GeV:
Electrons radiate on average half their energy before reaching the ECAL due to:Strong magnetic field (4 Tesla)
1 X0 of material in the inner tracker
Energy is radiated as photons which may in turn convert to e+e- before reaching the ECAL - significant spread of energy in .
David FutyanUC Riverside
27Higgs to Four Leptons at CMS18th May 2006
Electron Reconstruction
Sophisticated algorithms developed, motivated by the HZZ4e analysis, in order to achieve good reconstruction efficiency for low pT electrons:
Use of Gaussian Sum Filter tracking - electron track is reconstructed right out to ECAL surface. Measure bremsstrahlung energy loss:
Categorization of electrons according to amount of radiated energy, ECAL cluster shape, cluster-track matching.
Combine ECAL energy and tracker
momentum measurements based on
measurement uncertainties:
( ) inoutinbrem pppf −=
David FutyanUC Riverside
28Higgs to Four Leptons at CMS18th May 2006
Electron Selection
Electron reconstruction has a significant background from fakes (e.g. +/0 overlap from underlying event).
Selection important to exclude potential backgrounds which can fake one or more electrons.
4e analysis: Cut based selection:Ecalo/pTrack < 3.Track cluster matching: || <0.02 and ||<0.1
EHCAL/EECAL <0.2
pT> 5 GeVLoose isolation: pT/pT < 0.5 (cone R=0.2)
2e2 analysis:Likelihood developed based on similar variables.Require likelihood>0.2.Select electron and positron with highest likelihoods.
David FutyanUC Riverside
29Higgs to Four Leptons at CMS18th May 2006
Electron Reconstruction Efficiency (4e channel)
David FutyanUC Riverside
30Higgs to Four Leptons at CMS18th May 2006
For the signal, and for the irreducible ZZ background, all 4 leptons are isolated and originate from the primary vertex.
For the reducible tt and Zbb backgrounds, 2 of the leptons are associated with b-jets → non-isolated and with displaced vertices.
For all three channels, offline selection consists of two set do cuts:Vertex/Impact parameter and Isolation cuts - reduce Zbb and tt only.
Kinematic cuts :lepton pT and lepton invariant mass cuts - reduce all backgrounds.
The offline selection for the 2e2 channel is described on the following slides.
Offline Event Selection
David FutyanUC Riverside
31Higgs to Four Leptons at CMS18th May 2006
Vertex and Impact Parameter Cuts (2e2)
3 variables chosen: High background rejection for 95% signal efficiency. Largely uncorrelated:
(1) Transverse distance from +- vertex to beam line < 0.011 cm
(2) 3D Distance between +- and e+e- vertices < 0.06 cm
(3) Transverse impact parameter significance of lepton with highest IP significance < 7
Combined Efficiency (%)
Signal 89-91
tt 14.5 ± 0.2
Zbb 13.0 ± 0.1
David FutyanUC Riverside
32Higgs to Four Leptons at CMS18th May 2006
Tracker Isolation (2e2)
Cut on pT of all reconstructed tracks in the event which satisfy:
pT>0.9 GeVAt least 5 hitsWithin region defined as the sum of cones of size R<0.25 around each lepton, excluding veto cones of size R>0.015 around each lepton.Consistent with originating from the reconstructed primary vertex to within z<0.2cm
Cut
David FutyanUC Riverside
33Higgs to Four Leptons at CMS18th May 2006
Kinematic Distributions for Reconstructed Leptons
Shown for events passing HLT and with e+e-+- reconstructed
David FutyanUC Riverside
34Higgs to Four Leptons at CMS18th May 2006
Kinematic Cuts (2e2)
Lepton pT cuts:pT
1 > thr1
pT2 > thr2
pT3 > thr3
pT4 > thr4
+- and e+e- invariant mass cuts:mZ1
< thr5
mZ2 > thr6
Four lepton invariant mass cuts:thr7 < mH
< thr8
leptons sorted in decreasing order of pT
mZ1 = max(m+-,me+e- ), mZ2 = min(m+-,me+e-
)
David FutyanUC Riverside
35Higgs to Four Leptons at CMS18th May 2006
Kinematic cuts are optimized simultaneously together with the isolation pT
threshold.
Cut optimization performed using MINUIT by maximizing significance, defined
by the Log-Likelihood ratio:
Cuts optimized independently for each Higgs mass.
To exclude effects of limited MC statistics: For each cut obtained from the
automatic optimization:
Plot ScL vs cut value with all other cuts fixed.
Assign final cut value by inspection, such that ScL is as close as possible to the
maximum whilst retaining smooth variation of cut value as a function of mH.
€
ScL = 2lnQ s
bs
N
NN
b
s eN
NQ −
+
⎟⎟⎠
⎞⎜⎜⎝
⎛+= 1where
Optimization of Selection Cuts (2e2)
David FutyanUC Riverside
36Higgs to Four Leptons at CMS18th May 2006
Optimised Kinematic Cuts (2e2)
David FutyanUC Riverside
37Higgs to Four Leptons at CMS18th May 2006
σ.BR. After Each Cut
x-axis categories: Preselection, L1, HLT, 4 leptons, Vertex, Isolation, Lepton pT, Z mass, Higgs mass
2e22e2
David FutyanUC Riverside
38Higgs to Four Leptons at CMS18th May 2006
4 Lepton Invariant Mass Before/After Offline Selection
Beforeoffline selection
Afteroffline selection
mH=130 GeV mH=200 GeV
2e22e2
David FutyanUC Riverside
39Higgs to Four Leptons at CMS18th May 2006
Final Selected Events per fb-1 and NS/NB
mH (GeV) 120 140 160 180 200 250 300 400 500
N signal for 10fb-1 1.9 11.7 7.8 8.7 36.4 29.1 19.4 18.0 9.6
N background for 10fb-1 1.5 2.0 2.0 4.0 16.2 13.6 4.1 3.7 2.6
2e22e2
David FutyanUC Riverside
40Higgs to Four Leptons at CMS18th May 2006
Summary of Offline Selection for 4e Channel
Longitudinal impact parameter significance for all electrons < 13
Transverse impact parameter significance of reconstructed Z(*) bosons:< 30 for highest me+e-
< 15 for lowest me+e-
Isolation, required separately for each electron, cone size R<0.2:Tracker isolation: (pT
tracks)/pTe < 0.1
Hadronic isolation: (ETHCAL)/pT
e < 0.2
Electron quality requirementsFurther cuts on track-cluster matching, cluster shape, HCAL/ECAL
Kinematic cuts on lepton pT, mZ1, mZ2, m4e
David FutyanUC Riverside
41Higgs to Four Leptons at CMS18th May 2006
Summary of Offline Selection for 4 Channel
Find that only the following cuts are critical:Isolation: Tracker and calorimeter: threshold applied to the least isolated muon
Single pT threshold for each mass applied to all but the lowest pT muon• Lowest pT muon already required to have pT>7(13) in the barrel (endcaps)
Four lepton invariant mass cuts
Additional cuts (impact parameter, +- inv. mass) do not significantly improve results.
Cut optimization procedure similar to 2e2 analysis, but uses a minimization program named GARCON recently developed by the HZZ4 group.
CalorimeterIsolation for least isolatedmuon
David FutyanUC Riverside
42Higgs to Four Leptons at CMS18th May 2006
Evaluation of the Z(*)/γ*)(Z(*)/γ*) Background
Systematic error on the no. on background events in the signal region enters into the significance calculation.
Direct simulation of Z(*)/γ*)(Z(*)/γ*)4l subject to the following uncertainties:Theoretical uncertainties:
• PDFs and QCD scale variations• NLO and NNLO production cross-section uncertainties• Relies entirely on existing SM constraints and theoretical knowledge
Experimental uncertainties:• LHC luminosity• MC modeling of detector response, material budget etc• Energy scales (ECAL calibration) and resolution• electron and muon reconstruction and kinematic selection efficiencies• Electron and muon islolation efficiencies
Such uncertainties are difficult to evaluate from first principles.
More robust approach is to evaluate the size of the background directly using the LHC data.
David FutyanUC Riverside
43Higgs to Four Leptons at CMS18th May 2006
Evaluation of the Z(*)/γ*)(Z(*)/γ*) Background from Data
2 Approaches:
1) Use single Z boson production:Single Z bosons will be produced with a high rate at the LHC.Production cross-section will rapidly be measured directly to a high precisionCan use ratio of production cross-sections for Z(*)/γ*)(Z(*)/γ*) and single Z production to evaluate the Z(*)/γ*)(Z(*)/γ*) background.Cancellation of luminosity uncertainties.
Reduction of PDF and QCD scale uncertainties for low mH.Partial cancellation of experimental uncertainties.
2) Direct measurement through counting the number of events in the sidebands (i.e. excluding the signal peak) of the 4-lepton invariant mass distribution:
Full cancellation of all uncertainties except PDF and QCD scale uncertainties (not fully cancelled because may affect the shape of the m(4l) distribution).Disadvantage: Limited by statistics of the background rate in the sidebands.
Approach 2 is used here as the most robust solution.
David FutyanUC Riverside
44Higgs to Four Leptons at CMS18th May 2006
Evaluation of Z(*)/γ*)(Z(*)/γ*) Background from Sidebands
Points represent a simulation of LHC data for the relevant integrated luminosities:Total no. of events generated randomly from a Poisson distribution with mean = total expected events from all processes (signal and background).
For each event, 4 lepton invariant mass generated randomly according to the histogram formed from the sum of the MC distributions for signal and background.
Data
outbckgdMCMeasured
inbckgd NN α= Data
outbckgdMCMeasured
inbckgd NN α=
MC
outbckgd
inbckgd
MC N
N=α
MC
outbckgd
inbckgd
MC N
N=α
∫L = 9.2 fb-1 ∫L = 5.8 fb-1
2e22e22e22e2
David FutyanUC Riverside
45Higgs to Four Leptons at CMS18th May 2006
Background Systematic Errors
Theoretical uncertainty
on the ratio α
Statistical error on background measurement
from data:
€
B2 = ΔBstat2 + ΔBtheory
2
€
B2 = ΔBstat2 + ΔBtheory
2
€
Bstat /B =1
Nbckgdout
Data
High statistical error at high mH due to low statistics in sidebands due to hard lepton pT cuts and large signal width.2e22e2
David FutyanUC Riverside
46Higgs to Four Leptons at CMS18th May 2006
Background Systematic Errors: Theory
Systematic uncertainty from PDFs and QCD scale estimated using the MCFM event generator.
20 eigenvectors of the CTEQ6M PDFs varied by 1σ.
QCD normalization and factorization scales varied independently up and down by factor 2 from nominal values R = F = 2mZ.
€
B2 = ΔBstat2 + ΔBtheory
2
€
B2 = ΔBstat2 + ΔBtheory
2
€
Btheory
David FutyanUC Riverside
47Higgs to Four Leptons at CMS18th May 2006
Significance Calculation
Counting experiment significance, ScP:Defined as no. of sigmas of a Gaussian distribution equivalent to Poisson probability of observing equal to or greater than NObs events, given B expected events:
An extended form of the ScP estimator is used which takes into account the systematic uncertainty on B.€
1
2πe
−x 2
2ScP
∞
∫ dx =(μB )ie−μ B
i!i= Nobs
∞
∑
€
1
2πe
−x 2
2ScP
∞
∫ dx =(μB )ie−μ B
i!i= Nobs
∞
∑
David FutyanUC Riverside
48Higgs to Four Leptons at CMS18th May 2006
Significance for 2e2 Channel
mH (GeV) 120 140 160 180 200 250 300 400 500
N signal at ∫L for 5σ 28.0 10.7 13.4 19.6 21.2 21.7 13.1 14.6 17.8
N back at ∫L for 5σ 21.4 1.8 3.5 9.1 9.4 10.1 2.8 3.0 5.3
David FutyanUC Riverside
49Higgs to Four Leptons at CMS18th May 2006
Combined Significance for 30 fb-1
Without systematicUncertainties:
€
ScL = 2lnQ
€
Q =
p ni | bi + si( )i=1,3
∏
p ni | bi( )i=1,3
∏where
David FutyanUC Riverside
50Higgs to Four Leptons at CMS18th May 2006
Combined Significance for 30 fb-1
Systematic uncertainties included:
David FutyanUC Riverside
51Higgs to Four Leptons at CMS18th May 2006
Higgs Mass Measurement from Gaussian Fit
Statistical error on measurement of mH:Measured Higgs mass from Gaussian fit for high statistics
mH=140 GeV mH=200 GeV mH=500 GeV
€
stat =σ GaussFit
NS
Shown as fraction of true mass
2e22e2 2e22e2
David FutyanUC Riverside
52Higgs to Four Leptons at CMS18th May 2006
Higgs Width Measurement from Gaussian Fit
Direct measurement of width possible with stat<30% for mH200 GeV
€
σGaussFit = ΓH2 + σ meas
2
€
stat =σ GaussFit
2NS
Shown as fraction of true width
2e22e2
David FutyanUC Riverside
53Higgs to Four Leptons at CMS18th May 2006
Higgs Cross Section Measurement Uncertainty
€
σ 2 = Δstat 2 + Δsyst 2 + ΔL2 + ΔB2
€
σ 2 = Δstat 2 + Δsyst 2 + ΔL2 + ΔB2
€
syst 2 = 2Δεe2 + 2Δεμ
2 + Δε iso2
€
syst 2 = 2Δεe2 + 2Δεμ
2 + Δε iso2
1% 1% 2%3%
3%
€
σ =Nobs
Lε
€
σ =Nobs
Lε
€
stat = Nexp
Shown as fraction of expected no. of signal events
2e22e2
David FutyanUC Riverside
54Higgs to Four Leptons at CMS18th May 2006
Summary
Standard Model Higgs boson with mass in range 130≤mH≤500 GeV
observable in the channel HZZ(*)4l with > 5σ significance with 10fb-1 of integrated luminosity, excluding a 15 GeV gap close to mH=170 GeV (40fb-1).
If mass lies in the range 190≤mH≤400 GeV, 5σ significance can be attained
with 4fb-1.
Size of ZZ*/γ* background determined from data in sidebands with systematic uncertainty included in ScP significance calculation.
David FutyanUC Riverside
55Higgs to Four Leptons at CMS18th May 2006
Aknowledgements
HZZ4e:S. Baffioni, C. Charlot, F. Ferri, R. Salerno, Y. Sirois (LLR, France)
N. Godinovic, I. Puljak (Split, Croatia)
P. Meridiani (Rome and INFN, Italy)
HZZ4:S. Abdullin (FNAL)
D. Acosta, P. Bartalini, R. Cavanaugh, A. Drozdetskiy, A. Korytov, G. Mitselmakher, Y. Pakhotin, B. Scurlock (Florida)
A. Sherstnev (Cambridge)
HZZ2e2:D. Futyan, D.Fortin (UC Riverside)
D. Giordano (Bari and INFN, Italy)
David FutyanUC Riverside
56Higgs to Four Leptons at CMS18th May 2006
Backup Slides
David FutyanUC Riverside
57Higgs to Four Leptons at CMS18th May 2006
Electron Experimental Systematic Uncertainties
Material budget: Change in amount of material traversed by electron before reaching the ECAL affects:
electron identification and selection efficiencies
energy scale and resolution
Material budget can be measured using single electron events, using the observed fraction of energy lost through bremsstrahlung, since energy radiated is proportional to material thickness traversed:
where pin and pout are the measured momenta at the innermost and outermost point on the GSF electron track.
€
X / X0 ≈ −ln 1− fbrem( )
€
fbrem = pin − pout( ) pinwhere
David FutyanUC Riverside
58Higgs to Four Leptons at CMS18th May 2006
Electron Experimental Systematic Uncertainties
2% uncertainty shown to have almost no effect on electron reconstruction efficiency:
With electron statistics from single Z production corresponding to ~10fb-1, can measure tracker material thickness to a precision better than 2%:
David FutyanUC Riverside
59Higgs to Four Leptons at CMS18th May 2006
Electron Experimental Systematic Uncertainties
Electron reconstruction efficiency and energy scale can be controlled using tagged electrons from Zee events:
Select Zee events for which at least one leg is a “golden” electron (no bremsstrahlung), plus kinematic constraint on Z boson mass for second leg.
Use second leg to estimate uncertainties on reconstruction efficiencies and on the energy scale.
Systematic uncertainty on electron reconstruction efficiency and energy scale taken to be <1%
David FutyanUC Riverside
60Higgs to Four Leptons at CMS18th May 2006
Muon Experimental Systematic Uncertainties
Measure muon reconstruction efficiency from data to better than 1% precision:
Use sample of muon HLT triggers with pT>19 GeV.
Count no. of Z2 events in the resonance of the inv. mass distributions built from:
• HLT muon + reconstructed muons
• HLT muon + all tracks
Ratio gives the efficiency.
Can measure to better than 1%.
Efficiency of isolation cut measured by evaluating energy flow in isolation cones around random directions in Z2 events.
Can measure to better than 2%.
Uncertainty on pT resolution and pT scale evaluated using resonance peaks
from Z2 and J/2 events to high precision.
David FutyanUC Riverside
61Higgs to Four Leptons at CMS18th May 2006
Monte Carlo Event Generation Details
In all samples, Z and W bosons forced to decay to e,with forced to decay to e No forcing of b decays in Zbb and tt background events.
In Z(*)/γ*)(Z(*)/γ*) and Z(*)/γ*)bb backgrounds, require mZ(*)/γ*) > 5 GeV
Non-perturbative PDFs in the proton taken from CTEQ6 distributionsGlobal QCD analysis combining all existing relevant deep inelastic and jet cross-section measurement results.
QED final state radiation (“internal bremsstrahlung”) simulated by interfacing the event generators with dedicated software package PHOTOS.
David FutyanUC Riverside
62Higgs to Four Leptons at CMS18th May 2006
True Significance of Local Event Excess
Search for new phenomena in a wide range of parameter space - in this case narrow resonance in very broad range of invariant masses:
Problem of overestimating significance of a “local discovery”
Need to reduce the significance according to the number of chances of getting it:
David FutyanUC Riverside
63Higgs to Four Leptons at CMS18th May 2006
Reconstructed Invariant Masses of e+e- and +-
Electron pair Muon pair
mH = 130 GeVmH = 130 GeV
David FutyanUC Riverside
64Higgs to Four Leptons at CMS18th May 2006
CP Nature of Higgs: Shape of MZ* Distribution
Shape of MZ* distribution depends on CP nature of Higgs
Compare theoretical MZ* distributions with result of
convolution of reconstructed MZ* distribution with
efficiency of selection for MZ*.
Similar approach possible using cos distribution of the angle between the planes containing the lepton pairs - important for MH>2MZ
David FutyanUC Riverside
65Higgs to Four Leptons at CMS18th May 2006
Choice of Trigger
Natural choice from physics viewpoint is to trigger on Z:
(i) Take OR of 2e and 2triggers
Another possible choice is:(ii) Take OR of 1e, 2e, 1 and 2
Consider fraction of events passing (ii) which fail (i). i.e. pass single triggers only:
For background, corresponds to close to half of events using 1e||2e||1||2 trigger results in almost twice as much background as 2e||2trigger
For signal, using 1e||2e||1||2rather than 2e||2increases final no. of events after all offline cuts by <~1% for mH>160 and <5% for mH<160.
But this gain is offset by the fact that the no. of ZZ background events after offline cuts increases by a similar fraction.
Conclusion: use OR of double electron and double muon triggers
Before offline cuts
After offline cuts
David FutyanUC Riverside
66Higgs to Four Leptons at CMS18th May 2006
Recovery of QCD Internal Bremsstrahlung
At least one IB photon present in 40-45% of HZZ(*)2e2 events
At least one IB photon with pT>5 GeV present for 10-30% of events (increasing with mH)
2/3 emitted by electrons, 1/3 by muons
Distinguish from other photons from the underlying
event using tendency to be collinear with parent lepton.
Z
e
e
γ
R
If >=1 reconstructed photons found within cone of size R<0.3 around any of the 4 reconstructed leptons, photon with smallest R is considered as an IB photon
4-momentum added to Z boson invariant mass prior to Z mass window cuts.