1 on the trail of the higgs boson meenakshi narain
Post on 21-Dec-2015
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TRANSCRIPT
2
Outline• Higgs Primer
– Why do we think there is a Higgs Boson ?
• How and where have we looked for the Higgs– Discussion of Higgs Search Results at LEP
• How and where will we look in the future– LHC and the Tevatron
• Search Strategies at the Tevatron:– Standard Model Higgs
• Low and High Mass regions
– Top/Higgs associated production– SUSY Higgs
• Conclusions
3
The Standard ModelQuarks Leptons
Interactions described by local gauge theories:
strong electroweak
SU(3)color £ SU(2)L £ U(1)Y
8 gluons W§ Z0 Adding mass terms for W§, Z bosons, fermions breaks local
gauge invariance
R
L
R
L
R
L
e
e
R
R
L
R
R
L
R
R
L
b
tb
t
s
cs
c
d
ud
u
R
R
L
R
R
L
R
R
L
b
tb
t
s
cs
c
d
ud
u
R
R
L
R
R
L
R
R
L
b
tb
t
s
cs
c
d
ud
u
4
The Higgs MechanismBreaks symmetry while maintaining local gauge invariance (renormalizability)
Add complex weak isospin doublet with “mexican hat” potential
3 components of form longitudinal components of W§, Z (massive)
1 component real scalar particle
Higgs boson
04
03
21
i
i
Couple fermion fields to fermion mass terms
B (Hfermions) / fermion mass
5
Theoretical Limits on Higgs Mass
If SM is valid up to ¼ Planck Scale
130 . MH . 180 GeV
updated EW precision
updated direct limit
M
Planck,gravity
MH too large: Higgs self coupling blows up at some
scale
MH too small: for scalar field
values O() the Higgs potential
becomes unstable
e.g. Riseelmann, hep-ph/9711456
6
Experimental Limits on Higgs MassIndirect
Higher order corrections link SM parameters
e.g. MW = Mtree+ +
Measure MW, mt (or others) constrain MH
LEP,TeV,NuTeV,SLC global fit: MH < 193 GeV @ 95% CL
(LEPEWWG Summer 2002)
DirectLEP: e+e-ZH
MH > 114.4 GeV @ 95% CL (LHWG Note/2002-01)
WW t
b2
2
W
t
M
m
W WW
Higgs
W
H
M
Mln
FEMZ GM ,,
8
Is there anything beyond the SM?
Problems of the SMMany free parameters
Hierarchy: Planck scale vs ewk scalelarge corrections to scalar masses (MH)
fine tuning required to keep MH light
Triviality:self couplings of scalars blow up at high energies
Gravity not included
SM can only be the low energy limit of a more comprehensive theory
9
SupersymmetrySymmetry between fermions and bosons
Natural solution to hierarchy problemAdditional corrections to MH precisely cancel
divergences
More complicated Higgs sector¸ 2 Higgs doublets 5 physical scalar particles:
CP-even: h0, H0, CP-odd: A0, charged: H§
MSSM: Mh . 135 GeV
SUSY with gauge coupling unification: Mh . 205 GeV (Quiros&Espinosa hep-ph/9809269)
10
Can the Higgs be heavy?Global fit to electroweak data MH<193 GeV
Assumes no physics beyond SM
If Higgs heavier, there must be new physics at some scale
Peskin, Wells PRD 64, 093003 (2001)
e.g. topcolor-seesaw modelpositive contributions to T
allows MH. 450 GeV Chivukula, Hölbling, hep/ph-0110214
11
Higgs Searches
• Very low mass
•LEP: e+e- collider,•Two different Eras
–LEP1: ps = Mz–LEP2: ps above Mz upto 209 GeV
13
Higgs Production at LEP•Dominant Production Process:
Bjorken Process
``Higgsstrahlung’’
LEP1LEP1
s s m mHH+m+mZZ
s = ms = mZZ
LEP2LEP2
Higgs Production Cross Section
Center of mass energy (GeV)
(pb)
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Very little background expected
Events expected
at LEP
among 2x107 Z
Higgs Search at LEP1
For mH<2mW :
H bb (~80%)
0.0 mH 65 GeV/c2
Excluded at 95% C.L.
For mH<2m :
H ee,
For mH<2mb: H gg, cc,
15
Higgs Searches at LEP2• Extending the reach
to s-MZ.
L ~200 pb-1
5533 ~ 0.04 pb
Higgs Decay modes (mH=115 GeV)
tau
b quarks
gluons
WW
other73.6%
7.2%
6.6%8.1%
Cross Sections
Decay Branching Ratios
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Event SignaturesDefined by the Z decay mode:
taus
quarks
neutrinos
electrons
muons
Higgs Z Fraction
bb qq 51.5% bb 14.7% Any ll 6.7%
bb 2.5% qq 5.0% Total 80.9%
“4-jets”“missing E” “leptons”
18
SM Four Jet Channel• Topologies:
• Backgrounds:– ZZ: Dominant for mH ~ 90 GeV/c2 when Z bb
• Most important for 4b channel at all masses
– WW:A priori reducible (no b-quark jets, apart from Vub ).• Tedious if jets are mistagged.
– Quark pair production (QCD processes):• Important near threshold production for mH>mZ
• b’s and gluons back-to-back,
reconstructed mass = maximum possible
4b: Hbb/Zbb and 2b: Hbb/Zqq (where q= [u,d,s,c])
Different backgrounds and hence performance
19
Event Selection• Discrimination from event shape & kinematics
• Correlated quantities Likelihood or Neural Network Analyses
• B-tagging critical in enhancing signal contribution
ThrustThrust
EEminminmin (di-jet) massmin (di-jet) mass
Log YLog Y3434
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Identifying b-jets1) Semileptonic decays of the b-quark B(b + X) 20% detect in jets
2) life time 1.5 ps c 0.5 mm
Flight Length ~ few mm
Collision
Impact Parameter
Decay
Vertex
B Decay Products
precise tracking silicon microstrip detectorse+e-bbqq
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After full alignement, hit precisions are :
~10 m in R ~15 m in Rzin the central part of the detector.
Ex: DELPHI
~3 double-sided layers
~0.5 X0
Silicon Vertex Detector
More on this later in the week
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• Simulated IP distributions and resolutions tuned on data. data/simulation agree within 5%
R significances
before tuning after tuning
Tuning b-tagging performance
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B-taggingPerformance checked on control samples:
Data and predictions agree within 5%
Excellent WW rejection reached, but control of tail is critical!
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Mass ReconstructionNeed to understand all significant distributions
The mass reconstruction depends heavily on good calibration of the detectors (tracking, calorimetry..) and on software techniques…
ALEPH
Pre-selection level
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pairing & mass reconstruction
•For each pairing: make a 5C fit with Mij =MZ & build a likelihood including the probability that the two other jets are b-tagged coming from the Higgs decay.• A unique mass value is selected from the most likely combination
six possible pairings:
(1,2)(1,3)(1,4)
M=MZ
B=2.0
(2,3)(2,4)(3,4)
M=MZ
B=-0.5
Z dijet
(3,4)(2,4)(2,3)
M=113
B=3.4
(1,4)(1,3)(1,2)
M=97
B=5.7
H dijet
from Jesus Marco, Budapest
2 4
1
3
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Reconstructing mass• Typical resolution: 3 GeV Preselection sample
ALEPH – 4C fit and
DELPHI & OPAL: 5C fit
L3: 6C fit with mH
Incorrect Pairing
Correct pairing mREC~2mW-mZ
Fully Hadronic WW control sample
WW events selected with the WW events selected with the Aleph (Cut) analysis where Aleph (Cut) analysis where none of the jets are none of the jets are b-taggedb-tagged
mH=mpair1+mpair2-mZ
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One of the 3 Aleph events4 b cand.
HZ hyp.mH=114.4
GeV/c2
NN = 0.997
jet b-tag: Z1 0.9942 0.78 H3 0.9934 0.999
A 22 GeV shower in SICAL that was giving Evis = 252 GeV is rejected by a better algorithm : mH= 112.8 mH=114.4
ELEP=206.7
ZZ hyp.mZ=97 GeVmZ=94 GeV
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Missing Energy Channel
Cross-section ~ few fb at 115: Not accessible with ½ fb-1 per experiment
Any quark
WW
s=192GeV
MH (GeV)
Cross Section
Fusion
fb
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The “Missing Energy Channel”• Preselect events, use Likehood or Neural Nets
– Btags Emiss, Cosmiss, Acollinearity• double ISR, and bb events (when the neutrinos take most
of the energy), give collinear topologies; for an event at rest, the mass recoiling to a Z is pushed to s-MZ. While, due to the Z width, even in the Higgstrahlung close to the kinematical limit, the H is not usually produced at rest.
To improve on signal mass reconstruction: kinematic fits with E,p conservation and the Z mass constraint.
Mass resolution: 7 GeV
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The signal is not collinear !
for acollinearity < 5o 5% of Higgs ~ 0.015 pb 30% of qq(g) ~ 80 pb
The collinear events are: -Z double radiative events to the Z with (visible mass ~M(Z))
-qq where the energy is lost in or for detector problems, (high visible mass)
at 206 GeV 6x10-4 ee qq 5x10-4 ee bb loose 60 GeV in neutrinos:
In 2000 for L= 220 pb-1, every exp.
has ~10 events ee bb that loose more than 60 GeV in
neutrinos
Of these 10 evts , 80% have pT10 GeV
WP
HA
CT
Montecarlo for Higgs 115 GeV/c2, Ecm=206 GeV
H: irreducible background, eebb
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The lepton channel
Background
llqq
L3 eeqq, Ecm=206 GeVM(ee)= 89 GeV/c2
M(qq)= 108 GeV/c2
If the is included in the jet:a very high di-jet mass
good high mass Higgs candidate !
If the is associated to the muon a perfect ZZ
but…radiated photonsthe golden candidates!but BR = 3 % for each flavor...
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SM Higgs combined results3 selections with increasing purity for a 115 GeV/c2 signal
•All channels contribute Hqq,H,Hll,qq•event selection based on a discriminant variable and mass
Data 5Bkg 3.9Sig 3.8
Data 17Bkg 15.8Sig 7.1
Data 4Bkg 1.2Sig 2.2
S/N for m(H) > 109 GeV/c2
> 0.5 >1 >2
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Interpreting the Results• Combine all channels in a 2-D space:
– reconstructed Higgs mass MHrec – discriminant variable G (b-tag, kinematical info..)
• In each bin of MHrec and G:– Background (MC) bi – Signal (MC) si
– Num. of candidates Ni
• For each “test mass” mH
Construct a parameter Q to order experimental outcomes:Does the experiment look signal like or background like?
LEP HIGGS WG
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Combined LEP Test Statistic Likelihood: The Final LEP Result
1, 2 bandsfrom background only
Data consistent with a Higgs signal of MH=115.6 GeV/c2
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Confidence Level Estimation
Prob of seeing the candidates (or more) if they were background: 1 -CLb = P(Q>Qobs|background)
MH=116
MH=110 MH=120
1 -CLb 0.32 2.7 x 10-3 5.7x10-7
1 3 5
1-CLbCLs+b
s+b
bobs
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Compatibility with the background
1-CLb @ MH=116
GeV/c2
ALEPH 2.4 x 10-
3
DELPHI 0.874L3 0.348OPAL 0.543
4-jets 5.7 x 10-3
l++0.368
Neutrinos 0.474Leptons 0.275Taus 0.255
LEP 0.099
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Confidence Levels…
Probability of missing the signal if it is there: CLs+b = P(QQobs|signal+background)
CLs = CL s+b / CLb gives the lower bound on Higgs mass
MH=116
1-CLbCLs+b
s+b
bobs
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The combined limit
Exp ObsALEPH 113.5 111.5DELPHI 113.3 114.1L3 112.4 112.0OPAL 112.7 112.7
4-jets 114.5 113.3l++114.2 114.2
LEP 115.3 114.4
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Higgs discovery?
Changes: +10% L @ 206 final Ebeam final detector calibrations Aleph 2D correlation in Hqq Delphi Hee optimized New MC for sig and bkg L3 more MC OPAL better bgk estim. New analyses, new mass rec.
Nov 2000
4.2 x 10-3 mH>113.5(115.3 expected)
~ 0.09 mH>114.4(115.3 expected)
~0.03 mH>114.1(115.4 expected)
Jul 2001 final
Background Probabilities 1-CLb (mH=115)
Nov 2000 July 2001 finalALEPH: 0.00065 0.0015 0.0024DELPHI: 0.68 0.77 0.73L3: 0.068 0.32 0.32 OPAL: 0.19 0.20 0.50
from end of 2000 to the final results 2002…
Earlier analyses suggested hints of signal which generated much excitement. Even now, the result is consistent with background only at 9% level.
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The “final” results• All 4 experiments implemented various modifications in order to
improve the sensitivity and/or better control the background
• Full data processing: final detector calibration, alignment, b-tagging… New MC generators (DELPHI) , more MC statistics (all) Precise knowledge of the LEP cm energy (all) Upgrades for some analyses: - New analyses with better sensitivity (OPAL): new jet pairing (4- jet), and L NN(miss.ener)
- Better rejection of beam-related background (ALEPH) - Extension of analyses down to bb threshold (DELPHI)
• L3: final result already last year : Few candidate events compatible with the Higgs hypothesis
• ALEPH: Excess of events compared to what is expected from SM background, suggesting a Higgs boson with mass mH~114 GeV/c2
• DELPHI: No evidence for any Higgs signal, limit set to mH> 114.1 GeV/c2
• OPAL: No evidence for any Higgs signal, limit set to mH> 112.7 GeV/c2
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Meanwhile in the PrairieThe Fermilab Tevatron Collider
(p anti-p):
Main Injector(new)
Tevatron
DØCDF
Chicago
p source
Booster 1992-96 Run 1: 100pb-1, 1.8TeV2001-2007(?) Run 2: ~15fb-1, 1.96TeV
CDF DØ
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The D experiment
5000 tons500+ physicistsRun I: 1992-1996100 pb-1
80 publications100 Ph.D.s
muon detector
calorimeter
tracker
beam pipe
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H-disks (4)
Barrels (6)F-disks (12)
20cm
50cm
1.3m
D Tracker
et=1.7
Solenoid (2 T)
Fiber Tracker
Silicon Tracker
800,000 channels1400 silicon elements area : 4.7 m2
10 m single hit resolution
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SM Higgs Production at Tevatron
[pb] (mH=120 GeV)
typical production cross-sections
gg HWHZH
0.70.170.1
WZWbb
3.211
tttb+tq+tbq
7.53.4
QCD O(106)
Gluon fusion Associated Production
WZ/ZH production is cleanestM. Spira, hep-ph/9810289
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SM Higgs Decays and BRs•Divide into two regions•Low Mass
–H!bb domintaes–gg!H precluded by QCD background
•High Mass–Gauge Boson decays dominate–H!WW becomes promising
•Less sensitivity in cross over region
_
M. Spira, hep-ph/9810289
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Low Mass Higgs Search•Higgs couples most strongly to massive particles:
•Focus on associated production (WH/ZH)– Best Prospects: leptonic W/Z decays – QCD background large for hadronic channels
•SM Background processes:
•Sensitivity will depend on – b-jet tagging– dijet mass resolution
1
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SM Higgs: Leptonic Channel (1)
• Typical Selection:
•Main backgrounds:•Event selection optimized to maximize S/B
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Sensitivity crucially depends on dijet mass resolutions
CDF RunI “Calibration” for Higgs Search
Problem is not intrinsic jet resolutionIn 2 jet WH events, mass resolution ~ 10%
(but, costs 30-70% in efficiency)With 2 jet requirement relaxed,
mass resolution is about 15%
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Multivariate Analysis Techniques•Further Improvements from use of Neural Networks, Grid Search, Likelihood methods.
– Significant gains, compare S/B with and without neural nets
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SM Higgs: Leptonic Channel (2)
• Main backgrounds:•Event selection optimized to maximize S/B •Typical Selection:
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•Use Neural Networks to optimize analysis:– use different networks
• one for signal
• 4 different ones for bkg
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•Neural Network Analysis:•signal
•Backgrounds
(4 different networks)
•Kinematic fit may enhance sensitivity•Add Taus?
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High Mass Higgs Search•Around MH=130 GeV, H0! bb takes a plunge
•For MH>130 GeV, H0! WW* rises–Exploit the large gg! H0 cross section–Identify topologies with small SM cross sections–Focus on leptonic Gauge Boson Decays
Stange, Marciano, Willenbrock (PRD49, 1994); Gunion & Han (PRD51, 1995); Mrenna & Kane (hep-ph/9406337)
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High Mass Higgs Search (1)
•Dileptons, Missing Energy signature•Leading contribution from gluon fusion
•SM backgrounds:
–Bkg¼ 25pb–S/B ¼ 4x10-4
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• Typical Selection:
Exploits difference in kinematics for WW prod• Continuum vs. at threshold production via spin 0
resonance – Utilize angular correlations between leptons & ET
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• Angular correlations between leptons:Due to spin correlation of Higgs Boson decay
products, the two charged leptons tend to move in parallel
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•Add likelihood analysis based on variables
•Define “Cluster Mass” MC to sharpen mass
•Likelihood analysis give a factor of 40 reduction for dominant WW background. (MH=170 GeV)• S/pB for 30fb-1 » 3.8
Likelihood analysis
Kinematic cuts
Bkg: WW
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High Mass Higgs Search (2)
•Distinct Signature:–Same sign dileptons + jets
•Contributions from process:
•Backgrounds to consider:–Di-boson (WZ, ZZ), Tri-Boson, top pair production…
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•Selection criterion:
•Dominant bkg: WZ, ZZ– (WZ)=0.15fb–W/Zjjj = 0.15fb (fake j! e)– (top, di/tri-boson) = 0.18fb
•Good S/B, but low rates–Limits significance–Control of systematics challenging–Fine tuning of cuts
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Combined Significance •Combine all SM channels
•Use Neural Network Analyses for low mass •Assume 10% resolution for mass reconstruction•Systematic error: Min of 10% or 1/p(sLdt £ B)
•Band) 30% effect from mbb, b, bkgs
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• Striking topologies:
• Small £ B– key: Multijet reconstruction – Critical: b-jet tagging
• New NLO corrections k=0.8
• Backgrounds:
Goldstein et. al., hep-ph/0006311
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•Low Mass– Lepton+6 jets
•require least 3 or 4 b-tagged jets
– Reconstruct top•“Know” jet assignments
–For 3 or more jets:•For 1fb-1:
– S=0.4, B=0.3 and S/pB=0.7
•For 15 fb-1 data–Expect 5 or 6 signal events–2.8(4.1) for 1(2) experiment(s)
–Assumes 70% b-tagging efficiency.
•High Mass–Both lepton+jets and dilepton channels
•Like sign dileptons: 3-6 signal events, less than 1 bkg•Trilepton: 2 signal events, less than 1 bkg
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SUSY Higgs Search•Neutral Higgs
–Translate SM results into SUSY (tan, MA) parameter space according to SUSY couplings–Vh, VH can be Standard Model-like
•reinterpret the SM analysis
–In addition: enhanced at large tan
)( Vhqq )(sin2 )( SMVhqq )( VHqq )(cos2 )( SMVHqq mixing angle
between CP even h and H
,tan1
2
v
v
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MSSM Higgs Search •Exploit enhanced Yukawa coupling due to large bb cross section at the Tevtraon:
•Event selection: –Trigger on 4 jets–At least 3 jets b-tagged
–Mass dependent jet ET cuts
•e.g. leading jet pT> M/2 -5 GeV
–Reconstruct mass with b-tagged jets pairs
•Backgrounds: •Limited by trigger efficiency, hard to trigger on jets
–Impact parameter triggers will help
•Require excellent b-tagging efficiency•Adding ! will help
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•Sensitivity: tan vs MA plane
•With 2 fb-1 data, sensitivity for MA » 125 GeV
(for interesting region for tan» mt/mb» 35)
Relatively modest integrated luminosity required !
Exclusion Discovery
80
MSSM Higgs: V Channel•Model Independent interpretation:
•Apply to any “New Physics” model–Compare the above R (for experiments) to theoretical expectations R for “SUSY”, assuming some typical values of SUSY parameters (tan, mixing angle , etc.)
Exclusion
Discovery
81
Sensitivity for MSSM Higgs •V and bb:
Consider different scenarios•Minimal Mixing
–At each point Left-Right Stop mixing= 0
•Maximal Left-Right Stop Mixing •Large A and ) Suppression of H(bbbb)
10fb-1 20fb-1
30fb-1
5 discoveryLEP
V, 5fb-1
Exclusion
10fb-1 15fb-1With 15 to 20 fb-1, can cover most of the MSSM parameter space.
Maximal Mixing Minimal Mixing
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References• The Tevatron studies described were performed by the
RunII SUSY/Higgs working group at the Tevatron. The details of the study can be found in hep-ph/0010338.– A comprehensive note – with multitude of theoretical and
experimental references.
• ttH production at the Tevatron: hep-ph/0006311• Latest LEP results:
– For Higgs from LHWG Note/2002-01– For Electroweak Global Fits: LEP EWWG/2001-02
• LHC:– ATLAS and CMS TDR
83
Conclusion
Tractricious, designed by Wilson and constructed by members of the Technical Support Section, sits in front of the Industrial Complex. The structure is comprised of 16 stainless steel outer tubes, made from scrap cryostat tubes from Tevatron magnets, and 16 inner pipes from old well casings. Each tube is free standing and designed to withstand winds up to 80 mph.
•Does the Higgs Boson Exist?…lots of theoretical motivation and
…mounting indirect evidence
•LEP… a “scent” of the Higgs?•Tevatron Run II:
– no single discovery channel, combine all modes• If NO SM Higgs: exclude upto 190 GeV with 10fb-1 data
• If SM Higgs exists: a 3 to 5 discovery upto 190 GeV with 30fb-1 data
•Can rule out 115 GeV Higgs with 2fb-1 data per experiment
•Verification at 3 will require 5-6 fb-1.
– Other models – beyond the SM, .eg. MSSM, can cover a large parameter space with 15 to 20 fb-1 data
•LHC: In the far future, potential to cover the entire range
87
Mass Resolutions: cont’d•Signal significance depends on bb mass resolution
–For RunII aim for 10% mass resolution–30% better than in the previous Run
WHlbb
CDF RunI “Calibration” for Higgs Search
88
Mass Resolutions: cont’d• Compare Run I Jet ET
resolution to Fast MC• Optimize b-jet reconstruction
and corrections• corrections (partly for b’s):
– b/light-q jet calibration• Improvement due to increased
+jets statistics• Significant sample of Z bb
– Correct for in bl– Correct for in jets
• Can get 12% at M=120 GeV
– If only 12% mass resolution • Required luminosity increases
by 20%
WHlbb
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Mass Resolution Issues•Problem is not intrinsic jet resolution
–In 2 jet WH events, Mjj is close to gaussian•Mass resolution is about 10% (but, costs 30-70% in efficiency)
–With 2 jet requirement relaxed, •Mass resolution is about 15%
3rd jet must be judiciously used!
90
More Improvements – b-tagging•b-jet tagging: Will it be good enough?
–Displaced Vertices
•3-D vs 2D vertexing possible•Improved impact parameter resolution•(Extrapolation from CDF Run I eff.)
–Semileptonic tags
do
primaryvtx
secondaryvtx
Lxy
e or in jet
b
•secondary vtx 2 tracks•tagged if Lxy/ Lxy
91
can we improve?
b-tagging
LEP2, S.Jin PHENO2000•For bb backgrounds:
•Relative Luminosity goes as
• Eff increase from 60% 65% would result in the same signal significance for 20% less integrated luminosity.
94
bb mass reconstruction
the extracted signal significance depends on input dijet mass resolution
WHlbb
improvement from use of tracking and preshowerin jet reconstruction? (also, different algorithms?)corrections (partly specific to b’s): - corrections for into jets (bl) - corrections for into jets - b/light-q jet calibration - b/light-q parton corrections
and...-effect of extra interactions on jet reconstruction
optimized b-jet reconstruction+corrections
E. Barberis
95
b-tagging
•displaced vertices: RunI SVX algorithms on RunII detector (3D Si, large )
+ soft lepton tagging (~10%)
~55-60%
fakes:
doprimaryvtx
secondaryvtx
Lxy
•secondary vtx 2 tracks•tagged if Lxy/ Lxy
e or in jet
b DØ used only ‘s in top analyses
M.RocoM.Roco
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Collisions and particle identification
Hadron collisions: a proton (anti-proton) beam is a broad- band beam of partons
hard scattering
p
p_
- total energy: unknown- total longitudinal momentum: unknown- total transverse momentum: zero
• heavy quarks and leptons decay via weak interactions to lighter counterparts:
(stable) m 650~c W(delayed) m 90~c W(delayed) m 470~c cWb(prompt) fm 1~c bWt
*
*
*
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Particle identification• an energetic quark or gluon appears in a detector as a jet of colorless hadrons:
• the total transverse energy of invisible particles (e.g. ) can be inferred from the energy of the visible particles:
E E
E E E
T T
T T T
inv vis
inv vis
0
99
Beyond the Standard Model
• in the window mH~130-180 GeV: SM valid up to mPlank
but: 222222 ooo gmmmm
quadratic divergencies in scalar masses
22
2
2
22
oo
o gmm
10-38 !
needs adjustment to the 38 decimal place: violates concept of naturalness
SM valid to EW scale EWSB Fundamental th. to higher scales
• SM, further problems, ad hoc couplings, mixings..• Extended, MSSM?• Composite, TC?
Higgs sector:
100
Higgs in MSSM the simplest minimal supersymmetric standard model (MSSM) supersymmetric 1) SM recipe 2) an extra Higgs doublet 3) supersymmetric partners
5 physical Higgs bosons ),,,( HAHh ooo
geduAHhZHW ,,,,,,,
gedu
edu
RRRR
LLLLoooo ~~,~,
~,~
~,~,~
,~~~~~~,~
1234
SM
SUSY
fermion boson symmetryfor every SM spin degree of freedom there is
a supersymmetric spin degree of freedom
CP even
CP odd
mh<130 GeV theory limit on lightest
Higgs
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LHC: Higgs Coupling•Measure production rate and couplings•Large top-Higgs coupling cross section for ttH associated production is sizeable
•Also an additional discovery mode and test of SM couplings
•With 300fb-1:
g
g
yt
H
t
t
1v
m2y t t
103
invisibleinvisible
NeutrinosNeutrinos do not interact with the detector.
Momentum conservation tells us:
But don’t measure pz. Therefore
0213
pppn
ii
T
n
i
iTT ppp
5, 21
105
b-tagging•Exploit long lifetime of the b-jet: b» 1.6ps
Mrec=1103 GeV/c2
Three well b-tagged jets with two reconstructed displaced vertices
HZ Candidate, ALEPH Experiment
e+e-bbbb
s = 206.7s = 206.7
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Four fermion backgrounds
acollinear
Two fermion collinear
Total well modelled
Collinearity of H
We cannot add criteria in the light
of the data.
Otherwise classical statistical
analysis is impossible.
L3 candidate