SM Higgs production cross sections at various centre-of-mass energies (update in CERN Report4 2016)


  • Cross sections reported in CERN Report 4. See here and here here for previous numbers in CERN Report 3.
  • Higgs cross sections and BRs in Spread sheet are available in xlsx format (update 2016.06.29) NEW
  • You can find figures at our main page or at gallery.

gluon-gluon Fusion Process

N3LO

  • Cross sections are calculated by Zürich group at N3LO QCD and NLO EW accuracies [Anastasiou:2016cez].
  • QCD scales: μ=μFR=MH/2 varied in the range of [MH/4,MH].
  • Theory uncertainty:
    • "±Theory" uncertainty is interpreted as a flat 100% confidence level.
    • "TH Gaussian" uncertainty is interpreted as a one-sigma range. It is estimated by max{+TH,-TH}/sqrt{3} as discussed in CERN Report 4 ggF section.
    • "TH Gaussian" uncertainty should be used for the construction of the workspace in the current LHC-HCG prescription.
  • PDF set: PDF4LHC15_nnlo_100

  mH = 125.00 GeV mH = 125.09 GeV
√s (TeV) Cross Section (pb) +Theory % -Theory % TH Gaussian % ±(PDF+αs) % ±PDF % ±αs % Cross Section (pb) +Theory % -Theory % TH Gaussian % ±(PDF+αs) % ±PDF % ±αs %
6.0 1.265E+01 +4.4 -7.1 ±4.1 ±3.3 ±1.9 ±2.7 1.263E+01 +4.4 -7.1 ±4.1 ±3.3 ±1.9 ±2.7
6.5 1.470E+01 +4.4 -7.0 ±4.0 ±3.3 ±1.9 ±2.7 1.468E+01 +4.4 -7.0 ±4.0 ±3.3 ±1.9 ±2.7
7.0 1.685E+01 +4.4 -7.0 ±4.0 ±3.3 ±1.9 ±2.7 1.683E+01 +4.4 -7.0 ±4.0 ±3.3 ±1.9 ±2.7
7.5 1.909E+01 +4.4 -6.9 ±4.0 ±3.3 ±1.9 ±2.7 1.907E+01 +4.4 -6.9 ±4.0 ±3.3 ±1.9 ±2.7
8.0 2.142E+01 +4.4 -6.9 ±4.0 ±3.2 ±1.9 ±2.7 2.139E+01 +4.4 -6.9 ±4.0 ±3.2 ±1.9 ±2.7
8.5 2.384E+01 +4.5 -6.9 ±4.0 ±3.2 ±1.9 ±2.6 2.380E+01 +4.5 -6.9 ±4.0 ±3.2 ±1.9 ±2.6
9.0 2.633E+01 +4.5 -6.8 ±3.9 ±3.2 ±1.9 ±2.6 2.629E+01 +4.5 -6.8 ±3.9 ±3.2 ±1.9 ±2.6
9.5 2.889E+01 +4.5 -6.8 ±3.9 ±3.2 ±1.9 ±2.6 2.885E+01 +4.5 -6.8 ±3.9 ±3.2 ±1.9 ±2.6
10.0 3.153E+01 +4.5 -6.8 ±3.9 ±3.2 ±1.9 ±2.6 3.148E+01 +4.5 -6.8 ±3.9 ±3.2 ±1.9 ±2.6
10.5 3.422E+01 +4.5 -6.8 ±3.9 ±3.2 ±1.9 ±2.6 3.418E+01 +4.5 -6.8 ±3.9 ±3.2 ±1.9 ±2.6
11.0 3.697E+01 +4.5 -6.8 ±3.9 ±3.2 ±1.9 ±2.6 3.693E+01 +4.5 -6.8 ±3.9 ±3.2 ±1.9 ±2.6
11.5 3.979E+01 +4.5 -6.8 ±3.9 ±3.2 ±1.9 ±2.6 3.975E+01 +4.5 -6.8 ±3.9 ±3.2 ±1.9 ±2.6
12.0 4.266E+01 +4.6 -6.8 ±3.9 ±3.2 ±1.9 ±2.6 4.261E+01 +4.6 -6.8 ±3.9 ±3.2 ±1.9 ±2.6
12.5 4.559E+01 +4.6 -6.8 ±3.9 ±3.2 ±1.9 ±2.6 4.553E+01 +4.6 -6.8 ±3.9 ±3.2 ±1.9 ±2.6
13.0 4.857E+01 +4.6 -6.7 ±3.9 ±3.2 ±1.9 ±2.6 4.851E+01 +4.6 -6.7 ±3.9 ±3.2 ±1.9 ±2.6
13.5 5.159E+01 +4.6 -6.7 ±3.9 ±3.2 ±1.9 ±2.6 5.153E+01 +4.6 -6.7 ±3.9 ±3.2 ±1.9 ±2.6
14.0 5.467E+01 +4.6 -6.7 ±3.9 ±3.2 ±1.9 ±2.6 5.460E+01 +4.6 -6.7 ±3.9 ±3.2 ±1.9 ±2.6
14.5 5.779E+01 +4.6 -6.7 ±3.9 ±3.2 ±1.9 ±2.6 5.772E+01 +4.6 -6.7 ±3.9 ±3.2 ±1.9 ±2.6
15.0 6.095E+01 +4.6 -6.7 ±3.9 ±3.2 ±1.9 ±2.6 6.087E+01 +4.6 -6.7 ±3.9 ±3.2 ±1.9 ±2.6

NNLO+NNLL

  • Cross sections are calculated with dFG program at NNLO+NNLL QCD and NLO EW accuracies.
  • Calculations are the same as CERN Report 3 (i.e. top, bottom and charm quark effects are taken into account), except it is in NWA (CPS in CERN Report 3).
  • Program: dFG
  • QCD scales: μ=μFR=MH, uncertainty estimated in the range 1/2 < μ/MH < 2 with 1/2 < μFR < 2 constraint.
    • No additional THU nor PU uncertainties assigned.
  • PDF set: PDF4LHC15_nnlo_30

  mH = 125.00 GeV mH = 125.09 GeV
√s (TeV) Cross Section (pb) +QCD Scale % -QCD Scale % ±(PDF+αs) % ±PDF % ±αs % Cross Section (pb) +QCD Scale % -QCD Scale % ±(PDF+αs) % ±PDF % ±αs %
6.0 1.150E+01 +7.3 -7.9 ±3.2 ±1.8 ±2.6 1.148E+01 +7.3 -7.9 ±3.2 ±1.8 ±2.6
6.5 1.336E+01 +7.3 -7.9 ±3.2 ±1.8 ±2.6 1.334E+01 +7.3 -7.9 ±3.2 ±1.8 ±2.6
7.0 1.531E+01 +7.3 -7.9 ±3.2 ±1.8 ±2.6 1.529E+01 +7.3 -7.9 ±3.2 ±1.8 ±2.6
7.5 1.734E+01 +7.3 -8.0 ±3.1 ±1.8 ±2.6 1.732E+01 +7.3 -8.0 ±3.1 ±1.8 ±2.6
8.0 1.947E+01 +7.3 -8.0 ±3.1 ±1.8 ±2.6 1.944E+01 +7.3 -8.0 ±3.1 ±1.8 ±2.6
8.5 2.166E+01 +7.3 -8.0 ±3.1 ±1.8 ±2.6 2.163E+01 +7.3 -8.0 ±3.1 ±1.8 ±2.6
9.0 2.392E+01 +7.3 -8.0 ±3.1 ±1.8 ±2.6 2.388E+01 +7.3 -8.0 ±3.1 ±1.8 ±2.6
9.5 2.625E+01 +7.3 -8.0 ±3.1 ±1.8 ±2.6 2.621E+01 +7.3 -8.0 ±3.1 ±1.8 ±2.6
10.0 2.864E+01 +7.3 -8.0 ±3.1 ±1.8 ±2.6 2.861E+01 +7.3 -8.0 ±3.1 ±1.8 ±2.6
10.5 3.110E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5 3.105E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5
11.0 3.360E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5 3.356E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5
11.5 3.616E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5 3.612E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5
12.0 3.877E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5 3.873E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5
12.5 4.143E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5 4.138E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5
13.0 4.414E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5 4.408E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5
13.5 4.689E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5 4.683E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5
14.0 4.968E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5 4.962E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5
14.5 5.252E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5 5.245E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5
15.0 5.539E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5 5.533E+01 +7.6 -8.1 ±3.1 ±1.8 ±2.5

VBF Process

  • Cross sections are calculated at (approx.) NNLO QCD and NLO EW accuracies.
  • Calculations are the same as CERN Report 3, except it is in NWA (CPS in CERN Report 3).
  • Program: NNLO QCD (VBF@NNLO) and NLO EW (HAWK).
  • QCD scales: μ=μFR=MW, uncertainty estimated in the range 1/2 < μ/MW < 2 (keeping μFR).
    • No additional THU nor PU uncertainties assigned.
  • PDF set: PDF4LHC15_nnlo_100 (QCD corrections) and NNPDF2.3QED (EW corrections + photon PDF)

  mH = 125.00 GeV mH = 125.09 GeV
√s (TeV) Cross Section (pb) +QCD Scale % -QCD Scale % ±(PDF+αs) % ±PDF % ±αs % Cross Section (pb) +QCD Scale % -QCD Scale % ±(PDF+αs) % ±PDF % ±αs %
6.0 9.149E-01 +0.1 -0.2 ±2.2 ±2.2 ±0.4 9.140E-01 +0.1 -0.2 ±2.2 ±2.2 ±0.4
6.5 1.074E+00 +0.2 -0.2 ±2.2 ±2.1 ±0.4 1.073E+00 +0.2 -0.2 ±2.2 ±2.1 ±0.4
7.0 1.242E+00 +0.2 -0.2 ±2.2 ±2.1 ±0.4 1.241E+00 +0.2 -0.2 ±2.2 ±2.1 ±0.4
7.5 1.418E+00 +0.2 -0.2 ±2.2 ±2.1 ±0.4 1.417E+00 +0.2 -0.2 ±2.2 ±2.1 ±0.4
8.0 1.602E+00 +0.2 -0.2 ±2.2 ±2.1 ±0.4 1.601E+00 +0.2 -0.2 ±2.2 ±2.1 ±0.4
8.5 1.793E+00 +0.3 -0.3 ±2.1 ±2.1 ±0.4 1.791E+00 +0.3 -0.3 ±2.1 ±2.1 ±0.4
9.0 1.990E+00 +0.3 -0.3 ±2.1 ±2.1 ±0.4 1.989E+00 +0.3 -0.3 ±2.1 ±2.1 ±0.4
9.5 2.194E+00 +0.3 -0.3 ±2.1 ±2.1 ±0.4 2.192E+00 +0.3 -0.3 ±2.1 ±2.1 ±0.4
10.0 2.404E+00 +0.3 -0.3 ±2.1 ±2.1 ±0.5 2.402E+00 +0.3 -0.3 ±2.1 ±2.1 ±0.5
10.5 2.622E+00 +0.4 -0.3 ±2.1 ±2.1 ±0.5 2.620E+00 +0.4 -0.3 ±2.1 ±2.1 ±0.5
11.0 2.843E+00 +0.4 -0.3 ±2.1 ±2.1 ±0.5 2.841E+00 +0.4 -0.3 ±2.1 ±2.1 ±0.5
11.5 3.072E+00 +0.4 -0.3 ±2.1 ±2.1 ±0.5 3.070E+00 +0.4 -0.3 ±2.1 ±2.1 ±0.5
12.0 3.303E+00 +0.4 -0.3 ±2.1 ±2.1 ±0.5 3.301E+00 +0.4 -0.3 ±2.1 ±2.1 ±0.5
12.5 3.539E+00 +0.4 -0.3 ±2.1 ±2.1 ±0.5 3.536E+00 +0.4 -0.3 ±2.1 ±2.1 ±0.5
13.0 3.782E+00 +0.4 -0.3 ±2.1 ±2.1 ±0.5 3.782E+00 +0.4 -0.3 ±2.1 ±2.1 ±0.5
13.5 4.026E+00 +0.4 -0.3 ±2.1 ±2.1 ±0.5 4.023E+00 +0.4 -0.3 ±2.1 ±2.1 ±0.5
14.0 4.278E+00 +0.4 -0.3 ±2.1 ±2.1 ±0.5 4.277E+00 +0.4 -0.3 ±2.1 ±2.1 ±0.5
14.5 4.530E+00 +0.5 -0.3 ±2.1 ±2.1 ±0.5 4.527E+00 +0.5 -0.3 ±2.1 ±2.1 ±0.5
15.0 4.790E+00 +0.5 -0.3 ±2.1 ±2.1 ±0.5 4.787E+00 +0.5 -0.3 ±2.1 ±2.1 ±0.5

WH Process

  • Cross sections are calculated at NNLO QCD and NLO EW accuracies.
    • Calculations are the same as CERN Report 3, except photon-induced contribution (see below).
    • Total cross section is calculated from WH→lνH cross section by subtracting photon-induced cross section, and then scaled via BR(W→lν)=0.108535 in NLO EW accuracy.
  • Program: NNLO QCD (VH@NNLO) and NLO EW (HAWK).
  • QCD scales: μ=μFR=MVH=(pV+pH)2 for QCD part and μ=μFR=MVH+MH for EW part. Uncertainty is estimated in the range 1/3 < μ/MVH < 3 (μF and μR are varied independently).
    • No additional THU nor PU uncertainties assigned.
  • PDF set: PDF4LHC15_nnlo_mc (QCD part) and NNPDF2.3QED (EW part).
  • Photon-induced contribution of O(5%)
    • NOT included for total cross section (agrees with CERN Report 3 numbers within 1%).
    • Included in cross sections for dedicated WH→lνH (l=e,μ or τ) process (we strongly recommend to use these numbers for dedicated analyses).

  mH = 125.00 GeV mH = 125.09 GeV
√s (TeV) Cross Section (pb) +QCD Scale % -QCD Scale % ±(PDF+αs) % ±PDF % ±αs % W+H (pb) W-H (pb) Cross Section (pb) +QCD Scale % -QCD Scale % ±(PDF+αs) % ±PDF % ±αs % W+H (pb) W-H (pb)
6.0 4.560E-01 +0.7 -1.0 ±2.2 ±2.1 ±0.6 2.958E-01 1.602E-01 4.549E-01 +0.7 -1.0 ±2.2 ±2.1 ±0.6 2.952E-01 1.597E-01
6.5 5.159E-01 +0.7 -0.9 ±2.2 ±2.1 ±0.6 3.324E-01 1.835E-01 5.147E-01 +0.7 -0.9 ±2.2 ±2.1 ±0.6 3.317E-01 1.831E-01
7.0 5.773E-01 +0.7 -0.9 ±2.1 ±2.0 ±0.6 3.696E-01 2.077E-01 5.759E-01 +0.7 -0.8 ±2.1 ±2.0 ±0.6 3.687E-01 2.071E-01
7.5 6.394E-01 +0.6 -0.9 ±2.1 ±2.0 ±0.7 4.072E-01 2.322E-01 6.375E-01 +0.6 -0.9 ±2.1 ±2.0 ±0.7 4.059E-01 2.316E-01
8.0 7.025E-01 +0.6 -0.9 ±2.0 ±1.9 ±0.7 4.453E-01 2.572E-01 7.008E-01 +0.6 -0.8 ±2.0 ±1.9 ±0.7 4.442E-01 2.566E-01
8.5 7.664E-01 +0.6 -0.8 ±2.0 ±1.9 ±0.7 4.832E-01 2.832E-01 7.646E-01 +0.6 -0.8 ±2.0 ±1.9 ±0.7 4.820E-01 2.826E-01
9.0 8.315E-01 +0.5 -0.8 ±2.0 ±1.9 ±0.7 5.221E-01 3.095E-01 8.294E-01 +0.6 -0.8 ±2.0 ±1.9 ±0.7 5.207E-01 3.087E-01
9.5 8.972E-01 +0.5 -0.8 ±2.0 ±1.8 ±0.8 5.611E-01 3.361E-01 8.954E-01 +0.5 -0.8 ±2.0 ±1.8 ±0.8 5.599E-01 3.355E-01
10.0 9.631E-01 +0.5 -0.8 ±2.0 ±1.8 ±0.8 5.999E-01 3.631E-01 9.609E-01 +0.5 -0.8 ±2.0 ±1.8 ±0.8 5.985E-01 3.624E-01
10.5 1.030E+00 +0.6 -0.7 ±2.0 ±1.8 ±0.8 6.393E-01 3.903E-01 1.028E+00 +0.5 -0.8 ±2.0 ±1.8 ±0.8 6.382E-01 3.897E-01
11.0 1.097E+00 +0.5 -0.7 ±1.9 ±1.8 ±0.8 6.789E-01 4.186E-01 1.095E+00 +0.6 -0.7 ±1.9 ±1.8 ±0.8 6.772E-01 4.175E-01
11.5 1.166E+00 +0.4 -0.7 ±1.9 ±1.7 ±0.8 7.190E-01 4.468E-01 1.163E+00 +0.5 -0.7 ±1.9 ±1.7 ±0.8 7.174E-01 4.458E-01
12.0 1.235E+00 +0.4 -0.7 ±1.9 ±1.7 ±0.8 7.598E-01 4.754E-01 1.233E+00 +0.4 -0.8 ±1.9 ±1.7 ±0.8 7.583E-01 4.744E-01
12.5 1.304E+00 +0.5 -0.7 ±1.9 ±1.7 ±0.9 8.000E-01 5.041E-01 1.302E+00 +0.5 -0.8 ±1.9 ±1.7 ±0.9 7.984E-01 5.031E-01
13.0 1.373E+00 +0.5 -0.7 ±1.9 ±1.7 ±0.9 8.402E-01 5.325E-01 1.370E+00 +0.5 -0.7 ±1.9 ±1.7 ±0.9 8.382E-01 5.316E-01
13.5 1.443E+00 +0.4 -0.7 ±1.8 ±1.6 ±0.9 8.819E-01 5.614E-01 1.439E+00 +0.5 -0.7 ±1.8 ±1.6 ±0.9 8.794E-01 5.599E-01
14.0 1.514E+00 +0.4 -0.7 ±1.8 ±1.6 ±0.9 9.224E-01 5.911E-01 1.510E+00 +0.4 -0.7 ±1.8 ±1.6 ±0.9 9.204E-01 5.896E-01
14.5 1.583E+00 +0.5 -0.6 ±1.8 ±1.6 ±0.9 9.618E-01 6.213E-01 1.580E+00 +0.4 -0.6 ±1.8 ±1.6 ±0.9 9.598E-01 6.200E-01
15.0 1.656E+00 +0.4 -0.7 ±1.8 ±1.6 ±0.8 1.004E+00 6.523E-01 1.653E+00 +0.5 -0.7 ±1.8 ±1.6 ±0.8 1.002E+00 6.505E-01

ZH Process

  • Cross sections are calculated at NNLO QCD and NLO EW accuracies.
    • Calculations are the same as CERN Report 3, except photon-induced contribution (see below).
    • Total cross section is calculated from ZH→llH,ννH cross sections by subtracting photon-induced cross section, and then scaled via BR(Z→ll)=0.0335962 and BR(Z→νν)=0.201030 in NLO EW accuracy.
    • gg→ZH (box-diagram) occurs as a part of NNLO QCD correction and included in the total cross section.
    • ZH cross section went up by +1~2%, due to +22~16% for √s = 7-14 TeV, due to increase in gg→ZH for NLO+NLL QCD corrections (NLO in CERN Report 3).
  • Program: NNLO QCD (VH@NNLO) and NLO EW (HAWK).
  • QCD scales: μ=μFR=MVH=(pV+pH)2 for QCD part and μ=μFR=MVH+MH for EW part. Uncertainty is estimated in the range 1/3 < μ/MVH < 3 (μF and μR are varied independently).
    • No additional THU nor PU uncertainties assigned.
  • PDF set: PDF4LHC15_nnlo_mc (QCD part) and NNPDF2.3QED (EW part).
  • Photon-induced contribution of O(1%) or below
    • NOT included for total cross section (agrees with CERN Report 3 numbers).
    • Included in cross sections for dedicated ZH→llH,ννH (l=e,μ or τ) processes (we strongly recommend to use these numbers for dedicated analyses).

  mH = 125.00 GeV mH = 125.09 GeV
√s (TeV) Cross Section (pb) +QCD Scale % -QCD Scale % ±(PDF+αs) % ±PDF % ±αs % σ(gg→ZH) (pb) Cross Section (pb) +QCD Scale % -QCD Scale % ±(PDF+αs) % ±PDF % ±αs % σ(gg→ZH) (pb)
6.0 2.625E-01 +2.3 -2.2 ±1.7 ±1.6 ±0.6 1.853E-02 2.618E-01 +2.3 -2.2 ±1.7 ±1.6 ±0.6 1.851E-02
6.5 3.003E-01 +2.5 -2.2 ±1.7 ±1.6 ±0.6 2.308E-02 2.996E-01 +2.5 -2.3 ±1.7 ±1.6 ±0.6 2.304E-02
7.0 3.391E-01 +2.6 -2.4 ±1.7 ±1.6 ±0.7 2.808E-02 3.383E-01 +2.6 -2.3 ±1.7 ±1.6 ±0.7 2.808E-02
7.5 3.795E-01 +2.7 -2.4 ±1.7 ±1.6 ±0.7 3.358E-02 3.784E-01 +2.7 -2.4 ±1.7 ±1.6 ±0.7 3.353E-02
8.0 4.207E-01 +2.9 -2.4 ±1.7 ±1.5 ±0.8 3.962E-02 4.199E-01 +2.8 -2.4 ±1.7 ±1.5 ±0.8 3.958E-02
8.5 4.631E-01 +2.9 -2.5 ±1.7 ±1.5 ±0.8 4.608E-02 4.623E-01 +2.9 -2.5 ±1.7 ±1.5 ±0.8 4.608E-02
9.0 5.070E-01 +3.0 -2.6 ±1.7 ±1.5 ±0.8 5.296E-02 5.059E-01 +3.0 -2.6 ±1.7 ±1.5 ±0.8 5.294E-02
9.5 5.510E-01 +3.2 -2.6 ±1.7 ±1.5 ±0.8 6.023E-02 5.500E-01 +3.1 -2.7 ±1.7 ±1.5 ±0.8 6.019E-02
10.0 5.962E-01 +3.3 -2.7 ±1.7 ±1.4 ±0.8 6.812E-02 5.952E-01 +3.2 -2.8 ±1.7 ±1.4 ±0.8 6.815E-02
10.5 6.423E-01 +3.4 -2.7 ±1.6 ±1.4 ±0.8 7.636E-02 6.410E-01 +3.4 -2.8 ±1.6 ±1.4 ±0.8 7.626E-02
11.0 6.897E-01 +3.4 -2.9 ±1.6 ±1.4 ±0.9 8.492E-02 6.878E-01 +3.4 -2.9 ±1.6 ±1.4 ±0.9 8.480E-02
11.5 7.368E-01 +3.6 -2.9 ±1.6 ±1.4 ±0.9 9.395E-02 7.354E-01 +3.5 -2.9 ±1.6 ±1.4 ±0.9 9.384E-02
12.0 7.853E-01 +3.6 -3.0 ±1.6 ±1.3 ±0.9 1.034E-01 7.831E-01 +3.6 -2.9 ±1.6 ±1.3 ±0.9 1.033E-01
12.5 8.341E-01 +3.6 -3.0 ±1.6 ±1.3 ±0.9 1.135E-01 8.329E-01 +3.6 -3.0 ±1.6 ±1.3 ±0.9 1.133E-01
13.0 8.837E-01 +3.8 -3.1 ±1.6 ±1.3 ±0.9 1.233E-01 8.821E-01 +3.8 -3.0 ±1.6 ±1.3 ±0.9 1.232E-01
13.5 9.346E-01 +3.7 -3.2 ±1.6 ±1.3 ±0.9 1.341E-01 9.331E-01 +3.8 -3.2 ±1.6 ±1.3 ±0.9 1.339E-01
14.0 9.858E-01 +3.8 -3.3 ±1.6 ±1.3 ±1.0 1.450E-01 9.835E-01 +3.8 -3.2 ±1.6 ±1.3 ±1.0 1.449E-01
14.5 1.037E+00 +3.9 -3.3 ±1.6 ±1.3 ±1.0 1.563E-01 1.035E+00 +4.0 -3.3 ±1.6 ±1.3 ±1.0 1.560E-01
15.0 1.088E+00 +4.1 -3.3 ±1.6 ±1.3 ±1.0 1.678E-01 1.087E+00 +4.0 -3.3 ±1.6 ±1.3 ±1.0 1.680E-01

ttH Process

  • Cross sections are calculated at NLO QCD and NLO EW accuracies.
    • Calculations are the same as CERN Report 3, except NLO EW corrections are adopted now.
  • Program: MadGraph5_aMC@NLO (Sherpa+OpenLoops as cross ceck)
  • QCD scales: μ=μFR=Mtop+MH/2, uncertainty estimated in the range 1/2 < μ/(Mtop+MH/2) < 2 (with 1/2 < μFR < 2 constraint).
    • No additional THU nor PU uncertainties assigned.
  • PDF set: PDF4LHC15_nlo_30_pdfas

  mH = 125.00 GeV mH = 125.09 GeV
√s (TeV) Cross Section (pb) +QCD Scale % -QCD Scale % ±(PDF+αs) % ±PDF % ±αs % Cross Section (pb) +QCD Scale % -QCD Scale % ±(PDF+αs) % ±PDF % ±αs %
6.0 5.558E-02 +3.1 -9.2 ±4.7 ±4.2 ±2.3 5.549E-02 +3.1 -9.2 ±4.7 ±4.2 ±2.3
6.5 7.097E-02 +3.3 -9.2 ±4.6 ±4.0 ±2.2 7.082E-02 +3.2 -9.2 ±4.6 ±4.0 ±2.2
7.0 8.878E-02 +3.4 -9.2 ±4.5 ±3.9 ±2.2 8.864E-02 +3.5 -9.2 ±4.5 ±3.9 ±2.2
7.5 1.095E-01 +3.7 -9.2 ±4.4 ±3.8 ±2.2 1.093E-01 +3.8 -9.2 ±4.4 ±3.8 ±2.2
8.0 1.330E-01 +4.1 -9.2 ±4.3 ±3.7 ±2.1 1.326E-01 +4.0 -9.2 ±4.3 ±3.7 ±2.1
8.5 1.585E-01 +4.2 -9.2 ±4.2 ±3.6 ±2.1 1.581E-01 +4.2 -9.2 ±4.2 ±3.6 ±2.1
9.0 1.869E-01 +4.5 -9.2 ±4.1 ±3.5 ±2.1 1.865E-01 +4.5 -9.2 ±4.1 ±3.5 ±2.1
9.5 2.179E-01 +4.6 -9.2 ±4.0 ±3.5 ±2.1 2.174E-01 +4.6 -9.2 ±4.0 ±3.5 ±2.1
10.0 2.514E-01 +4.9 -9.3 ±4.0 ±3.4 ±2.1 2.509E-01 +4.9 -9.2 ±4.0 ±3.4 ±2.1
10.5 2.876E-01 +5.1 -9.3 ±3.9 ±3.3 ±2.0 2.870E-01 +5.1 -9.3 ±3.9 ±3.3 ±2.0
11.0 3.264E-01 +5.2 -9.2 ±3.8 ±3.3 ±2.0 3.258E-01 +5.3 -9.2 ±3.8 ±3.3 ±2.0
11.5 3.677E-01 +5.4 -9.2 ±3.8 ±3.2 ±2.0 3.671E-01 +5.4 -9.2 ±3.8 ±3.2 ±2.0
12.0 4.117E-01 +5.6 -9.2 ±3.7 ±3.1 ±2.0 4.110E-01 +5.5 -9.2 ±3.7 ±3.1 ±2.0
12.5 4.582E-01 +5.7 -9.3 ±3.6 ±3.1 ±2.0 4.575E-01 +5.7 -9.3 ±3.6 ±3.1 ±2.0
13.0 5.071E-01 +5.8 -9.2 ±3.6 ±3.0 ±2.0 5.065E-01 +5.8 -9.2 ±3.6 ±3.0 ±2.0
13.5 5.592E-01 +6.0 -9.3 ±3.5 ±3.0 ±2.0 5.584E-01 +6.0 -9.3 ±3.5 ±3.0 ±2.0
14.0 6.137E-01 +6.0 -9.2 ±3.5 ±2.9 ±1.9 6.128E-01 +6.0 -9.2 ±3.5 ±2.9 ±1.9
14.5 6.705E-01 +6.2 -9.2 ±3.5 ±2.9 ±1.9 6.697E-01 +6.2 -9.2 ±3.5 ±2.9 ±1.9
15.0 7.300E-01 +6.2 -9.2 ±3.4 ±2.8 ±1.9 7.292E-01 +6.3 -9.2 ±3.4 ±2.8 ±1.9

bbH Process

  • The cross sections are the Santander matched numbers with 5FS (NNLO) and 4FS (NLO). No EW corrections.
  • Program: SusHi for 5FS and dedicated version of MadGraph5_aMC@NLO for 4FS.
  • QCD scales:
    • 5FS: μF=MH/4, μR=MH,
    • 4FS: μFR=(MH+2Mb)/4,
    • scale with 7-point variation by a factor of 2 in both cases.
  • Uncertainties
    • 5FS: Linearly added scale + (PDF⊕αs) + Mb + μb (PDF and αs uncertainties are added in quadrature).
    • 4FS: Only scale uncertainties (as they are the dominant ones) and no PDF uncertainties are included.
  • PDF set
    • 5FS: Dedicated sets produced with APFEL are used which are generated from the PDF4LHC15_nnlo_100 sets taken below the Mb-threshold and evolved upwards, while generating a b-PDF set at high scale.
    • 4FS: PDF4LHC15_nlo_nf4_100

  mH = 125.00 GeV mH = 125.09 GeV
√s (TeV) Cross Section (pb) +(QCD Scale+PDF+αs) % -(QCD Scale+PDF+αs) % Cross Section (pb) +(QCD Scale+PDF+αs) % -(QCD Scale+PDF+αs) %
6.0 1.127E-01 +20.9 -22.5 1.125E-01 +20.8 -22.5
6.5 1.335E-01 +20.8 -22.5 1.334E-01 +20.8 -22.5
7.0 1.552E-01 +20.7 -22.4 1.545E-01 +20.7 -22.5
7.5 1.779E-01 +20.6 -22.4 1.774E-01 +20.6 -22.4
8.0 2.021E-01 +20.7 -22.3 2.015E-01 +20.6 -22.4
8.5 2.267E-01 +20.5 -22.3 2.263E-01 +20.5 -22.4
9.0 2.525E-01 +20.4 -22.5 2.520E-01 +20.4 -22.5
9.5 2.800E-01 +20.5 -22.7 2.792E-01 +20.5 -22.7
10.0 3.069E-01 +20.4 -22.8 3.066E-01 +20.4 -22.8
10.5 3.356E-01 +20.4 -23.0 3.346E-01 +20.4 -23.0
11.0 3.639E-01 +20.2 -23.1 3.628E-01 +20.3 -23.1
11.5 3.944E-01 +20.3 -23.2 3.930E-01 +20.3 -23.2
12.0 4.243E-01 +20.2 -23.4 4.235E-01 +20.2 -23.4
12.5 4.557E-01 +20.1 -23.6 4.543E-01 +20.1 -23.5
13.0 4.880E-01 +20.2 -23.9 4.863E-01 +20.1 -23.9
13.5 5.200E-01 +20.1 -24.0 5.183E-01 +20.1 -24.0
14.0 5.529E-01 +20.0 -24.0 5.522E-01 +20.1 -24.1
14.5 5.880E-01 +20.1 -24.2 5.848E-01 +20.0 -24.2
15.0 6.203E-01 +20.0 -24.4 6.186E-01 +19.8 -24.4

tH Process

t-ch (qb→tHq)

  • Cross sections are calculated at NLO QCD accuracy (no NLO EW correction) in 5FS.
  • Program: MadGraph5_aMC@NLO
  • QCD scales: μ=μFR=(Mtop+MH)/4, uncertainty estimated in the range 1/2 < μ/{(Mtop+MH)/4} < 2 (with 1/2 < μFR < 2 constraint).
    • Flavour scheme (FS) dependence (4FS - 5FS envelope) included in the scale uncertainty. No PU uncertainty assigned.
  • PDF set:
    • PDF4LHC15_nlo_30_pdfas (5FS)
    • PDF4LHC15_nlo_nf4_100 (4FS central set), used to compute the combined scale+FS uncertainty in tH t-channel.

  mH = 125.00 GeV mH = 125.09 GeV
√s (TeV) Cross Section (pb) +QCD Scale % -QCD Scale % ±(PDF+αs) % ±PDF % ±αs % tH (pb) tbarH (pb) Cross Section (pb) +QCD Scale % -QCD Scale % ±(PDF+αs) % ±PDF % ±αs % tH (pb) tbarH (pb)
6.0 7.310E-03 +7.5 -17.5 ±5.4 ±5.1 ±1.6 5.100E-03 2.200E-03                
6.5 9.580E-03 +7.4 -17.3 ±5.1 ±4.9 ±1.5 6.640E-03 2.940E-03                
7.0 1.226E-02 +7.3 -17.2 ±4.9 ±4.7 ±1.5 8.430E-03 3.800E-03                
7.5 1.526E-02 +7.3 -16.7 ±4.8 ±4.6 ±1.4 1.046E-02 4.800E-03                
8.0 1.869E-02 +7.3 -16.5 ±4.6 ±4.4 ±1.4 1.273E-02 5.950E-03                
8.5 2.247E-02 +7.2 -16.3 ±4.5 ±4.3 ±1.4 1.526E-02 7.230E-03                
9.0 2.671E-02 +7.1 -16.2 ±4.4 ±4.2 ±1.3 1.802E-02 8.660E-03                
9.5 3.128E-02 +7.1 -16.0 ±4.3 ±4.1 ±1.3 2.105E-02 1.023E-02                
10.0 3.628E-02 +6.9 -15.8 ±4.2 ±4.0 ±1.3 2.432E-02 1.194E-02                
10.5 4.162E-02 +6.9 -15.6 ±4.1 ±3.9 ±1.3 2.782E-02 1.385E-02                
11.0 4.747E-02 +6.8 -15.5 ±4.0 ±3.8 ±1.2 3.157E-02 1.588E-02                
11.5 5.355E-02 +6.8 -15.2 ±3.9 ±3.7 ±1.2 3.554E-02 1.801E-02                
12.0 6.008E-02 +6.7 -15.2 ±3.9 ±3.7 ±1.2 3.980E-02 2.038E-02                
12.5 6.708E-02 +6.6 -15.1 ±3.8 ±3.6 ±1.2 4.426E-02 2.285E-02                
13.0 7.425E-02 +6.5 -14.9 ±3.7 ±3.5 ±1.2 4.889E-02 2.542E-02                
13.5 8.203E-02 +6.5 -14.8 ±3.7 ±3.5 ±1.2 5.383E-02 2.820E-02                
14.0 9.010E-02 +6.4 -14.7 ±3.6 ±3.4 ±1.2 5.907E-02 3.112E-02                
14.5 9.865E-02 +6.4 -14.8 ±3.6 ±3.4 ±1.2 6.432E-02 3.420E-02                
15.0 1.072E-01 +6.3 -14.4 ±3.5 ±3.3 ±1.1 6.998E-02 3.741E-02                

s-ch (qq→tHb)

  • Cross sections are calculated at NLO QCD accuracy (no NLO EW correction) in 5FS.
  • Program: MadGraph5_aMC@NLO
  • QCD scales: μ=μFR=(Mtop+MH)/2, uncertainty estimated in the range 1/2 < μ/{(Mtop+MH)/2} < 2 (with 1/2 < μFR < 2 constraint).
    • No additional THU nor PU uncertainties assigned.
  • PDF set:
    • PDF4LHC15_nlo_30_pdfas (5FS)

  mH = 125.00 GeV mH = 125.09 GeV
√s (TeV) Cross Section (pb) +QCD Scale % -QCD Scale % ±(PDF+αs) % ±PDF % ±αs % tH (pb) tbarH (pb) Cross Section (pb) +QCD Scale % -QCD Scale % ±(PDF+αs) % ±PDF % ±αs % tH (pb) tbarH (pb)
6.0 6.690E-04 +3.0 -2.8 ±3.3 ±3.3 ±0.1 4.700E-04 2.000E-04                
6.5 7.960E-04 +2.9 -2.7 ±3.2 ±3.2 ±0.1 5.550E-04 2.420E-04                
7.0 9.300E-04 +2.9 -2.5 ±3.0 ±3.0 ±0.0 6.420E-04 2.870E-04                
7.5 1.070E-03 +2.8 -2.5 ±2.9 ±2.9 ±0.0 7.350E-04 3.340E-04                
8.0 1.214E-03 +2.8 -2.4 ±2.8 ±2.8 ±0.0 8.290E-04 3.850E-04                
8.5 1.363E-03 +2.7 -2.3 ±2.7 ±2.7 ±0.1 9.270E-04 4.370E-04                
9.0 1.517E-03 +2.7 -2.2 ±2.6 ±2.6 ±0.1 1.025E-03 4.920E-04                
9.5 1.676E-03 +2.7 -2.2 ±2.6 ±2.6 ±0.1 1.127E-03 5.490E-04                
10.0 1.838E-03 +2.6 -2.1 ±2.5 ±2.5 ±0.1 1.231E-03 6.080E-04                
10.5 2.004E-03 +2.6 -2.0 ±2.4 ±2.4 ±0.2 1.338E-03 6.680E-04                
11.0 2.173E-03 +2.5 -2.0 ±2.4 ±2.4 ±0.2 1.444E-03 7.310E-04                
11.5 2.345E-03 +2.5 -1.9 ±2.3 ±2.3 ±0.2 1.550E-03 7.940E-04                
12.0 2.519E-03 +2.5 -1.9 ±2.3 ±2.3 ±0.2 1.661E-03 8.590E-04                
12.5 2.703E-03 +2.4 -1.8 ±2.2 ±2.2 ±0.2 1.772E-03 9.280E-04                
13.0 2.879E-03 +2.4 -1.8 ±2.2 ±2.2 ±0.2 1.882E-03 9.960E-04                
13.5 3.060E-03 +2.4 -1.7 ±2.2 ±2.2 ±0.3 1.997E-03 1.065E-03                
14.0 3.249E-03 +2.3 -1.7 ±2.1 ±2.1 ±0.3 2.110E-03 1.137E-03                
14.5 3.439E-03 +2.3 -1.7 ±2.1 ±2.1 ±0.3 2.227E-03 1.207E-03                
15.0 3.623E-03 +2.3 -1.6 ±2.1 ±2.1 ±0.3 2.343E-03 1.281E-03                

-- ReiTanaka - 2016-03-01

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Topic revision: r26 - 2023-11-13 - TatsuyaMasubuchi
 
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