Combined ATLAS Standard Model Higgs Search

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    Kyle Cranmer (NYU) EPS-HEP 2011 - ATLAS Higgs Combination

    Center for

    Cosmology and

    Particle Physics

    Kyle Cranmer, New York Universityon behalf of the ATLAS Collaboration

    Combined ATLAS Standard Model Higgs Search

    with 1 fb-1 of Data at 7 TeV

    1

  • 8/6/2019 Combined ATLAS Standard Model Higgs Search

    2/21

    Kyle Cranmer (NYU)

    Center for

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    vacuum expectation

    fluctuations

    Goldstone modes(become longitudinalpolarizations of massive W,Z)

    V() = 2||2 + ||4

    Introduction

    Understanding of electroweak symmetry breaking is amajor goal of the LHC physics program

    Initial focus: search for the Standard Model Higgs

    drove the design of both the ATLAS and CMS detectors

    stresses every major sub-system

    ATLAS and LHC are running great!

    Analyses here are based on up to 1.2 fb-1

    High pile-up environment

    2

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    3/21

    Kyle Cranmer (NYU)

    Center for

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    [GeV]HM100 200 300 400 500 1000

    H+X)[pb]

    !

    (pp

    "

    -210

    -110

    1

    10= 7 TeVs

    LHCHIGGSXSWG2010

    H(NNLO+NNLLQCD+NLOEW)

    !pp

    qqH(NNLOQCD+NLOEW)

    !pp

    WH(NNLOQCD+NLOEW

    )

    !pp

    ZH(NNLOQCD+NLOEW)

    !pp

    ttH(NLOQCD)

    !pp

    .

    ]

    ]

    -1

    S

    S

    010

    )

    )

    (

    (

    )

    pp

    tt(

    )

    pp

    .

    [GeV]HM

    100 120 140 160 180 200

    Branchingratios

    -310

    -2

    10

    -110

    1

    bb

    !!

    cc

    gg

    "" "Z

    WW

    ZZLHCHIGGSXSWG2010

    - .

    [

    - .

    Channels Included in the Combination

    Enhance sensitivity by combining allavailable searches channels in the context

    of the SM Higgs hypothesis

    some channels are composed of sub-channels and include control samples

    3

    Cha nelbtag

    (veto)Jets

    MET

    (GeV)Shape

    Mass Range

    (GeV/c2)Main backgrounds

    Mgg 110-150 (from sidebands)WH 2 Mbb 110-130 Top (3j - high Mbb) and W+jets (low Mbb)

    Z 2 Mbb 110-130 Z+jets (low Mbb)

    WW 0-jet 0 >30 110-240 WW (control region Mll)

    (ll) 1-jet veto 1 >30 110-240 Top (from reverse btag) and WW (Mll CR)

    WW 0-jet 0 >30 MWW 200-600 W+jets (sidebands)

    (lqq) 1-jet veto 1 >30 MWW 200-600 W+jets (sidebands)

    ZZ (ll) >30 MT 200-600 VV(from MC) and top (MC and checks)

    ZZ ( lqq) 2

  • 8/6/2019 Combined ATLAS Standard Model Higgs Search

    4/21Kyle Cranmer (NYU)

    Center for

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    Detailed presentations on the channels

    4

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  • 8/6/2019 Combined ATLAS Standard Model Higgs Search

    8/21Kyle Cranmer (NYU)

    Center for

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    [GeV]4lm

    100 200 300 400 500 600

    Events/5GeV

    0

    1

    2

    3

    4

    5

    6

    7

    8

    100 200 300 400 500 6000

    1

    2

    3

    4

    5

    6

    7

    8-1

    Ldt = 1.1 fb= 7 TeV,sData 2011,ATLASPreliminary Data

    =210 GeV, 1xSMHm

    Total background

    4l(*)

    ZZH

    The H ZZ 4l Channel (110 < MH< 600)

    8

    [GeV]Hm150 200 250 300 350 400 450 500 550 600

    SM

    /

    95%

    C

    .L.

    limiton

    1

    10

    210

    sObserved CL

    sExpected CL

    1

    2

    PreliminaryATLAS

    4l(*)

    ZZH-1

    Ldt = 1.1 fb=7 TeVs

    sObserved CL

    sExpected CL

    1

    2

    sObserved CL

    sExpected CL

    1

    2

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    9/21Kyle Cranmer (NYU)

    Center for

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    [GeV]Hm

    100 200 300 400 500 600

    SM

    /

    95%C

    Lli

    miton

    1

    10

    HllWWH

    bbW,ZH

    HllWWH

    bbW,ZH

    llllZZHllqqZZHllZZH

    qqlWWH

    llllZZHllqqZZHllZZH

    qqlWWH

    Exp. Obs. Exp. Obs.

    =7 TeVs,-1

    L dt ~ 1.0-1.2 fb CLs limitsATLAS Preliminary

    Summary of individual channels limits

    The situation prior to the combination

    Two individual channels are able to exclude by themselves

    9

    f

    ,

    [GeV]Hm

    100 200 300 400 500 600

    SM

    !/!

    95%C

    LLimiton

    1

    10

    210

    Tevatron exclusion

    LEP exclusion

    Observed, PCLExpected, PCL

    , PCL!1

    , PCL!+ 2S

    Observed, CL

    SExpected, CL

    =7 TeVs-1

    L dt ~ 35 pb"

    ATLAS

    , ,, ,

    ,

    [GeV]Hm

    100 200 300 400 500 600

    SM

    !/!

    95%

    CLlimiton

    1

    10

    210

    ""#H

    $l$l#WW#H

    qq$l#WW#H

    ""#H

    $l$l#WW#H

    qq$l#WW#H

    llll#ZZ#Hllqq#ZZ#H

    $$ll#ZZ#H

    llll#ZZ#Hllqq#ZZ#H

    $$ll#ZZ#H

    Expected Observed Expected Observed

    =7 TeVs,-1

    L dt ~ 35 pb%

    PCL limits

    ATLAS

    , ,

    ,

    ,

    . . .

    ATLAS w/ 35 pb-1

    [arXiv:1106.2748]

  • 8/6/2019 Combined ATLAS Standard Model Higgs Search

    10/21Kyle Cranmer (NYU)

    Center for

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    Systematics

    The channels utilize three main strategies for addressing systematic uncertainties:

    data-driven techniques: eliminates dominant impact of uncertainty leaving

    uncertainties associated with extrapolation from control to signal region

    implicit parametrization: parametrized functions flexible enough to describeeffect of uncertainty on distribution (eg. exponential + Crystal ball in H)

    explicit parametrization: variational histograms obtained from modifying

    simulated samples according to variations the source of uncertainty (eg. HZZ)

    Uncertainties in normalization described by log-normal distributions

    The combination requires relations between rates of different channels, thus it is

    subject to theoretical uncertainties. Prescription agreed upon by LHC-HCG & Higgscross-section working group.

    10

    [GeV]HM

    100 200 300 400 500 1000

    H+X)[pb]

    !

    (pp

    "

    -210

    -110

    1

    10= 7 TeVs

    LHCHIGGSXSWG2010

    H(NNLO+NNLLQCD+NLOEW)

    !pp

    qqH(NNLOQCD+NLOEW)

    !pp

    WH(NNLOQCD+NLOEW

    )

    !

    ppZH(NNLOQCD+NLOEW

    )

    !

    pp

    ttH(NLOQCD)

    !pp

    H H bbHWW() HZZ()

    qq qq

    Luminosity 3.7 3.7 3.7 3.7 3.7 3.7 3.7

    e/ efficiency +11.610.4 2.3 1.4

    +0.90.8 1.9 1.2 1.1

    e/ energy scale -+1.51.6

    +0.10.4 - -

    +0.81.1

    e/ resolution - +2.11.5

    +0.00.5 - - -

    efficiency - +1.12.0

    +0.60.6 0.3 1.2

    +0.80.7 0.6

    resolution - 5.8 +4.24.5 - - -

    Jet/MET energy scale - +2117

    +4.67.9

    +1518 -

    +5.94.0

    +3.710.4

    Jet resolution - 2.5 - +8.29.0 - -

    +2.10.0

    MET - +5.56.1 - - -

    +6.64.2 -

    b-tag efficiency - +3733 - - -

    +4.34.4 -

    Theory +15.020

    .

    05 +15.0

    20.

    0

    +15.0

    20.

    0

    +15.0

    20.

    0

    +15.0

    20.

    0

    +15.0

    20.

    0

  • 8/6/2019 Combined ATLAS Standard Model Higgs Search

    11/21Kyle Cranmer (NYU)

    Center for

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    Statistical Procedure

    The full complexity of individual channels likelihood functions are packaged usingRooFit/RooStats workspaces, and a combined probability model is formed by

    identifying nuisance parameters associated to common systematic effects

    the common parameter of interest is a cross-section scale factor: = /SM

    The profile likelihood ratio is used as a test statistic:

    nuisance parameters are profiled based on the data

    one-sided variants of the test statistic are used forupper-limits and discovery

    The distribution of the test statistic is obtained in two ways:

    Ensemble tests with toy Monte Carlo using a fully frequentist procedure

    randomize auxiliary measurements instead of randomizing nuisance parameters

    Using asymptotic distribution of likelihood ratio

    used for primary result

    Primary result based CLs, conservatism introduced to protect against downward fluctuations

    results based on power-constrained CLs+b (PCL) in backup

    Additional comparisons with Bayesian procedure with a uniform prior on

    11

    Cowan, Cranmer, Gross, Vitells

    Eur.Phys.J. C71 (2011)

    () = Ls+b(, )/Ls+b(, )

    C

    http://inspirebeta.net/author/Cowan%2C%20Glen?recid=860907&ln=enhttp://inspirebeta.net/author/Cranmer%2C%20Kyle?recid=860907&ln=enhttp://inspirebeta.net/author/Gross%2C%20Eilam?recid=860907&ln=enhttp://inspirebeta.net/author/Vitells%2C%20Ofer?recid=860907&ln=enhttp://inspirebeta.net/author/Vitells%2C%20Ofer?recid=860907&ln=enhttp://inspirebeta.net/author/Vitells%2C%20Ofer?recid=860907&ln=enhttp://inspirebeta.net/author/Gross%2C%20Eilam?recid=860907&ln=enhttp://inspirebeta.net/author/Gross%2C%20Eilam?recid=860907&ln=enhttp://inspirebeta.net/author/Cranmer%2C%20Kyle?recid=860907&ln=enhttp://inspirebeta.net/author/Cranmer%2C%20Kyle?recid=860907&ln=enhttp://inspirebeta.net/author/Cowan%2C%20Glen?recid=860907&ln=enhttp://inspirebeta.net/author/Cowan%2C%20Glen?recid=860907&ln=en
  • 8/6/2019 Combined ATLAS Standard Model Higgs Search

    12/21Kyle Cranmer (NYU)

    Center for

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    [GeV]Hm

    110 120 130 140 150 160 170 180 190 200

    SM

    /

    95%C

    LLimito

    n

    1

    10

    Observed CLs

    Expected

    1

    2

    ATLAS Preliminary

    -1Ldt = 1.0-1.2 fb= 7 TeVs

    Limits in the low mass range

    12

    155

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    13/21Kyle Cranmer (NYU)

    Center for

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    [GeV]Hm

    110 120 130 140 150 160 170 180 190 200

    SM

    /

    95%C

    LLimito

    n

    1

    10

    Observed CLs

    Expected

    1

    2

    ATLAS Preliminary

    -1Ldt = 1.0-1.2 fb= 7 TeVs

    Limits in the low mass range

    13

    130 140 150 160 170 180 190 200m

    H(GeV/c

    2)

    Tevatron Run II Preliminary, L ! 8.2 fb-1

    ExpectedObserved1" Expected2" Expected

    TevatronExclusion

    SM=1

    March 7, 2011

    155

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    Kyle Cranmer (NYU)

    Center for

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    [GeV]Hm120 140 160 180 200

    0

    p

    -610

    -510

    -410

    -310

    -210

    -110

    1

    ObservedExpected23

    -1Ldt = 1.0-1.2 fb

    = 7 TeVs

    ATLAS Preliminary

    Background-only p-values at low-mass

    Broad WW excess is modulated by local fluctuations in and 4l

    local significance, no look-elsewhere effect correction applied

    14

    Largest excess hasapproximately 2.8significance

    Test statistic definedsuch that downwardfluctuation gives p0=50%

    Center for

    B k d l l t l

  • 8/6/2019 Combined ATLAS Standard Model Higgs Search

    15/21

    Kyle Cranmer (NYU)

    Center for

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    [GeV]Hm120 140 160 180 200

    0

    p

    -610

    -510

    -410

    -310

    -210

    -110

    1

    ObservedExpected23

    -1Ldt = 1.0-1.2 fb

    = 7 TeVs

    ATLAS Preliminary

    Background-only p-values at low-mass

    Broad WW excess is modulated by local fluctuations in and 4l

    local significance, no look-elsewhere effect correction applied

    14

    4l candidate Broad WW llexcessexcess

    deficit

    Largest excess hasapproximately 2.8significance

    Test statistic definedsuch that downwardfluctuation gives p0=50%

    Center for

    Li it f ll

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    Kyle Cranmer (NYU)

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    [GeV]H

    m200 300 400 500 60

    SM

    /

    9

    5%C

    LLimiton

    1

    10

    Observed CLs

    Expected

    1

    2

    ATLAS Preliminary

    -1Ldt = 1.0-1.2 fb= 7 TeVs

    155

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    Kyle Cranmer (NYU)

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    [GeV]Hm100 200 300 400 500 600

    0

    p

    -510

    -410

    -310

    -2

    10

    -110

    1

    Obs. Asymp.Expected2

    3Obs. Ensemble

    -1Ldt = 1.0-1.2 fb

    = 7 TeVs

    ATLAS Preliminary

    Approximately 8% chance of background-only fluctuation this largeanywhere in range

    p-values full mass range

    16

    HZZ 4lcandidates

    No combined excessbeyond 3 is observed

    Asymptoticapproximation ingood agreementwith ensemble tests

    Center for

    Cross checks

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    Kyle Cranmer (NYU)

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    [GeV]H

    m120 140 160 180 200

    S

    M

    /

    95%C

    LLimiton

    0

    2

    4

    6

    8

    10Observed CLs

    Expected CLs

    Observed Bayesian

    Expected Bayesian

    Observed Ensemble Tests

    Expected Ensemble Tests

    ATLAS Preliminary

    -1Ldt = 1.0-1.2 fb

    = 7 TeVs

    [GeV]H

    m100 200 300 400 500 600

    S

    M

    /

    95%C

    LLimiton

    0

    2

    4

    6

    8

    10Observed CLs

    Expected CLs

    Observed Bayesian

    Expected Bayesian

    Observed Ensemble Tests

    Expected Ensemble Tests

    ATLAS Preliminary

    -1Ldt = 1.0-1.2 fb

    = 7 TeVs

    Cross-checks

    The full limit procedure was performed with toys to confirm theasymptotic distributions of the profile likelihood ratio

    Toy Monte Carlo is significantly more computationally intensive andsensitive to fit failures etc. Asymptotic results are robust

    In addition, a Bayesian procedure, which is known to reproduce the CLslimit in simple problems, also yielded consistent results.

    17

    Center for

    Cos o ogConclusions

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    Kyle Cranmer (NYU)

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    Conclusions

    Thanks to the excellent LHC operations, ATLAS has collected more than

    1 fb-1 of 7 TeV data leading to substantial gains in sensitivity to theStandard Model Higgs

    In the low-mass range (120 140 GeV) an excess of events with asignificance of approximately 2.8 is observed.

    ATLAS has extended the 95% CL excluded region around 2MW to

    155

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    Kyle Cranmer (NYU)

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    Backup

    19

    Center for

    Cosmology andResults with PCL

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    Kyle Cranmer (NYU)

    Cosmology and

    Particle Physics

    EPS-HEP 2011 - ATLAS Higgs Combination

    Results with PCL

    20

    While CLs is well a established technique in our field, it is considered a non-

    standard procedure by statistician mixing notions of power and coverage

    it intentionally over-covers to protect against setting limits beyond the

    experiments sensitivity due to downward fluctuations

    An alternative approach (PCL) is based on purely frequentist CLs+b together

    with a power-constraint at the experiments sensitivity achieves the same

    protection without mixing the notions of coverage and power

    [GeV]Hm200 300 400 500 600

    SM

    /

    95%C

    LLimiton

    -110

    1

    10

    Observed PCLObservedExpected

    1+ 2

    ATLASPreliminary

    -1Ldt = 1.0-1.2 fb

    = 7 TeVs

    Alternate Test

    [GeV]Hm110 120 130 140 150 160 170 180 190 200

    SM

    /

    9

    5%C

    LLimiton

    -110

    1

    10

    Observed PCLObservedExpected

    1+ 2

    ATLASPreliminary

    -1Ldt = 1.0-1.2 fb

    = 7 TeVs

    Alternate Test