LHC Higgs Cross Section HH Sub-group

Group organization

Group conveners:

Mail ATLAS CMS THEORY
Mail Magdalena Slawinska Maxime Gouzevitch Sally Dawson / Ramona Groeber / Javier Mazzitelli

Meetings

General documentation

CERN Yellow Reports: Handbook of LHC Higgs Cross Sections:

  1. Inclusive Observables ( CERN-2011-002, arXiv:1101.0593).
  2. Differential Distributions ( CERN-2012-002, arXiv:1201.3084).
  3. Higgs Properties ( CERN-2013-004, arXiv:1307.1347).

Current recommendations for di-Higgs cross-sections

The full documentation can be found in the LHCHXSWG-INT-2015-003 internal note.

Additionnal information about the EFT BSM parametrisation of HH can be found in the LHCHXSWG-INT-2016-001 internal note

NEW recommendations for gluon fusion

Inclusive cross sections for Higgs boson pair production for different centre-of-mass energies in the NNLOFTapprox, for mH = 125 GeV ( see https://arxiv.org/abs/1803.02463). Scale uncertainties are reported as superscript/subscript. The estimated top quark mass uncertainty of the NNLOFTapprox predictions is also presented, together with PDF and αS uncertainties. PDF uncertainties are estimated within the Born-improved approximation (see https://arxiv.org/abs/1309.6594). The calculation is performed in the on-shell top quark mass scheme, and studies of the uncertainty related to the scheme choice are in progress.

√s

7 TeV 8 TeV 13 TeV 14 TeV 27 TeV 100 TeV
σNNLO FTapprox [fb]

6.572 -6.5%+3.0%

9.441 -6.1% + 2.8%

31.05 -5.0% + 2.2%

36.69 -4.9% +2.1%

139.9 -3.9% +1.3%

1224 -3.2% +0.9%

mt unc.

2.2%

2.3%

2.6%

2.7%

3.4%

4.6%

PDF unc.
3.5%

3.1%

2.1%
2.1%
1.7% 1.7%

αS unc.

2.6%

2.4%


2.1%

2.1%

1.8%

1.7%

PDF+αS unc.

4.3%

3.9%

3.0%

3.0%

2.5%

2.4%

Inclusive cross sections for Higgs boson pair production for different values of mH. These numbers are obtained from the Mh=125GeV ones by rescaling with the ratio LO(Mh)/LO(Mh=125GeV).

√s 7 TeV 8 TeV 13 TeV 14 TeV 27 TeV 100 TeV

σNNLO FTapprox( mH = 124.59 GeV ) [fb]

6.609

9.493

31.21

36.88

140.6

1229

σNNLO FTapprox( mH = 125.09 GeV ) [fb]

6.564

9.430

31.02

36.65

139.8

1223

σNNLO FTapprox( mH = 125.59 GeV ) [fb]

6.519

9.366

30.82

36.43

139.0

1217

Gluon fusion

Including top mass effects at NLO from

arXiv : 1604.06447

mh   σ′NNLO+NNLL [fb] scale unc. (%) scale unc. (%) Th U. [%]
αs U.[%] PDF U. [%]
124.5GeV √s = 7 TeV 7.132 -5.7 4.0 5 2.8 3.4
  √s = 8 TeV 10.24 -5.7 4.1 5 2.6 3.0
  √s = 13 TeV 33.70 -6.0 4.3 5 2.3 2.1
  √s = 14 TeV 39.85 -6.0 4.4 5 2.2 2.1
               
125GeV √s = 7 TeV 7.078 -5.7 4.0 5 2.8 3.4
  √s = 8 TeV 10.16 -5.7 4.1 5 2.6 3.1
  √s = 13 TeV 33.45 -6.0 4.3 5 2.3 2.1
  √s = 14 TeV 39.56 -6.0 4.4 5 2.2 2.1
               
125.09GeV √s = 7 TeV 7.068 -5.7 4.0 5 2.8 3.4
  √s = 8 TeV 10.15 -5.7 4.1 5 2.6 3.1
  √s = 13 TeV 33.41 -6.0 4.3 5 2.3 2.1
  √s = 14 TeV 39.51 -6.0 4.4 5 2.2 2.1
               
125.5GeV √s = 7 TeV 7.023 -5.7 4.0 5 2.8 3.4
  √s = 8 TeV 10.09 -5.7 4.1 5 2.6 3.1
  √s = 13 TeV 33.21 -6.0 4.3 5 2.3 2.1
  √s = 14 TeV 39.27 -5.9 4.4 5 2.2 2.1
               
In the table: NNLL matched to NNLO cross sections for gg → hh with the central scale μ0 = μR = μF = Mhh/2.
Uncertainties are evaluated using the PDF4LHC recommendation and are based on the PDF4LHC15nnlomc set.

Gluon fusion (old)

mh = 124.5 GeV σNNLL (fb) scale unc. (%) PDF unc. (%) αS unc. (%)
√s = 7 TeV 7.772 + 4.0 - 5.7 3.4 2.8
√s = 8 TeV 11.26 + 4.1 - 5.7 3.0 2.6
√s = 13 TeV 38.20 + 4.3 - 6.0 2.1 2.3
√s = 14 TeV 45.34 + 4.4 - 6.0 2.1 2.2
√s = 100 TeV 1760 + 5.0 - 6.7 1.7 2.1
mh = 125 GeV σNNLL (fb) scale unc. (%) PDF unc. (%) αS unc. (%)
√s = 7 TeV 7.718 + 4.0 - 5.7 3.4 2.8
√s = 8 TeV 11.18 + 4.1 - 5.7 3.1 2.6
√s = 13 TeV 37.95 + 4.3 - 6.0 2.1 2.3
√s = 14 TeV 45.05 + 4.4 - 6.0 2.1 2.2
√s = 100 TeV 1749 + 5.1 - 6.6 1.7 2.1
mh = 125.09 GeV σNNLL (fb) scale unc. (%) PDF unc. (%) αS unc. (%)
√s = 7 TeV 7.708 + 4.0 - 5.7 3.4 2.8
√s = 8 TeV 11.17 + 4.1 - 5.7 3.1 2.6
√s = 13 TeV 37.91 + 4.3 - 6.0 2.1 2.3
√s = 14 TeV 45.00 + 4.4 - 6.0 2.1 2.2
√s = 100 TeV 1748 + 5.1 - 6.5 1.7 2.0
mh = 125.5 GeV σNNLL (fb) scale unc. (%) PDF unc. (%) αS unc. (%)
√s = 7 TeV 7.663 + 4.0 - 5.7 3.4 2.8
√s = 8 TeV 11.11 + 4.1 - 5.7 3.1 2.6
√s = 13 TeV 37.71 + 4.3 - 6.0 2.1 2.3
√s = 14 TeV 44.76 + 4.4 - 5.9 2.1 2.2
√s = 100 TeV 1738 + 5.2 - 6.4 1.7 2.1
In the table: NNLL matched to NNLO cross sections for gg → hh with the central scale μ0 = μR = μF = Mhh/2.
Uncertainties are evaluated using the PDF4LHC recommendation and are based on the PDF4LHC15nnlomc set.
In addition to the uncertainties shown in this table, there is an additional 10% uncertainty from unknown top quark mass effects.

K factors

√s = 7 TeV √s = 8 TeV √s = 13 TeV √s = 14 TeV √s = 100 TeV
K 1.203 1.200 1.193 1.192 1.195
K' 2.299 2.296 2.301 2.304 2.472
K factors defined as K = σNNLLNLO and K' = σNNLLLO for gg → hh with the central scale μ0 = μR = μF = Mhh/2 and mh = 125 GeV.

Subleading channels

hhZ

mh (GeV) √s = 7 TeV √s = 8 TeV √s = 13 TeV √s = 14 TeV √s = 100 TeV
124.5 0.109-2.2%+2.8% 2.9 % 0.145-2.3%+2.8% 2.6 % 0.368-2.6%+3.5% 1.9 % 0.420-2.7%+3.6% 1.8 % 8.33-4.6%+5.9% 1.7 %
125 0.108-2.2%+2.6% 2.9 % 0.143-2.2%+2.8% 2.6 % 0.363-2.7%+3.4% 1.9 % 0.415-2.7%+3.5% 1.8 % 8.23-4.6%+5.9% 1.7 %
125.09 0.108-2.2%+2.6% 2.9 % 0.143-2.3%+2.7% 2.6 % 0.362-2.6%+3.4% 1.9 % 0.414-2.7%+3.5% 1.8 % 8.22-4.6%+5.9% 1.7 %
125.5 0.106-2.2%+2.6% 2.9 % 0.141-2.2%+2.8% 2.6 % 0.359-2.7%+3.5% 1.9 % 0.409-2.7%+3.5% 1.9 % 8.13-4.6%+5.9% 1.7 %
Cross section (in fb) for hhZ production at NNLO QCD with the central scale μ0 = μR = μF = MhhZ.

The first uncertainty is the scale uncertainty and the second is the PDF + αs uncertainty based on the PDF4LHC15nnlomc set

hhW+

mh (GeV) √s = 7 TeV √s = 8 TeV √s = 13 TeV √s = 14 TeV √s = 100 TeV
124.5 0.114-0.59%+0.47% 3.0 % 0.147-0.52%+0.43% 2.8 % 0.333-0.41%+0.32% 2.2 % 0.373-0.39%+0.33% 2.1 % 4.47-0.96%+0.90% 1.8 %
125 0.113-0.59%+0.47% 3.0 % 0.145-0.52%+0.43% 2.8 % 0.329-0.41%+0.32% 2.2 % 0.369-0.39%+0.33% 2.1 % 4.70-0.96%+0.90% 1.8 %
125.09 0.113-0.59%+0.47% 3.0 % 0.145-0.52%+0.43% 2.8 % 0.329-0.41%+0.32% 2.2 % 0.368-0.39%+0.33% 2.1 % 4.69-0.96%+0.90% 1.8 %
125.5 0.111-0.59%+0.47% 3.0 % 0.143-0.52%+0.43% 2.8 % 0.326-0.41%+0.32% 2.2 % 0.365-0.39%+0.33% 2.1 % 4.65-0.96%+0.90% 1.8 %
Cross section (in fb) for hhW+ production at NNLO QCD with the central scale μ0 = μR = μF = MhhW.

The first uncertainty is the scale uncertainty and the second is the PDF + αs uncertainty based on the PDF4LHC15nnlomc set

hhW-

mh (GeV) √s = 7 TeV √s = 8 TeV √s = 13 TeV √s = 14 TeV √s = 100 TeV
124.5 0.0516-1.2%+0.98% 4.0 % 0.0688-1.2%+1.0% 3.7 % 0.176-1.3%+1.2% 2.8 % 0.200-1.3%+1.2% 2.7 % 3.34-4.3%+3.6% 1.9 %
125 0.0509-1.2%+0.98% 4.0 % 0.0679-1.2%+1.0% 3.7 % 0.173-1.3%+1.2% 2.8 % 0.198-1.3%+1.2% 2.7 % 3.30-4.3%+3.5% 1.9 %
125.09 0.0508-1.2%+0.98% 4.0 % 0.0677-1.2%+1.0% 3.7 % 0.173-1.3%+1.2% 2.8 % 0.197-1.3%+1.2% 2.7 % 3.30-4.3%+3.5% 1.9 %
125.5 0.0502-1.2%+0.98% 4.0 % 0.0670-1.2%+1.0% 3.7 % 0.171-1.3%+1.2% 2.8 % 0.195-1.3%+1.2% 2.7 % 3.27-4.3%+3.5% 1.9 %
Cross section (in fb) for hhW- production at NNLO QCD with the central scale μ0 = μR = μF = MhhW.

The first uncertainty is the scale uncertainty and the second is the PDF + αs uncertainty based on the PDF4LHC15nnlomc set

hhjj

mh (GeV) √s = 7 TeV √s = 8 TeV √s = 13 TeV √s = 14 TeV √s = 100 TeV
124.5 0.320-3.7%+3.2% 2.7 % 0.470-3.1%+2.4% 2.6 % 1.65-2.7%+2.4% 2.3 % 1.97-2.6%+2.3% 2.3 % 81.9-0.2%+0.2% 1.8 %
125 0.316-4.1%+3.7% 2.7 % 0.468-3.3%+2.8% 2.6 % 1.64-2.5%+2.0% 2.3 % 1.94-2.6%+2.3% 2.3 % 80.3-0.4%+0.5% 1.7 %
125.09 0.313-3.8%+3.2% 2.6 % 0.459-3.6%+3.2% 2.6 % 1.62-2.7%+2.3% 2.3 % 1.95-2.3%+1.8% 2.4 % 80.8-0.8%+0.8% 1.8 %
125.5 0.312-4.0%+3.6% 2.7 % 0.458-3.4%+2.9% 2.6 % 1.63-2.5%+2.0% 2.3 % 1.94-1.9%+1.3% 2.3 % 80.7-0.7%+0.7% 1.8 %
Cross section (in fb) for weak boson fusion hhjj at NLO QCD with the central scale μ0 = μR = μF = Mhh/2.

The first uncertainty is the scale uncertainty and the second is the PDF + αs uncertainty based on the PDF4LHC15nnlomc set

tthh

mh (GeV) √s = 7 TeV √s = 8 TeV √s = 13 TeV √s = 14 TeV √s = 100 TeV
124.5 0.112-12.5%+3.5% 4.2 % 0.176-10.7%+2.9% 3.9 % 0.786-4.5%+1.3% 3.2 % 0.968-4.6%+1.7% 3.1 % 87.2-7.3%+7.9% 1.6 %
125 0.110-12.5%+3.5% 4.2 % 0.174-10.6%+2.9% 3.9 % 0.775-4.3%+1.5% 3.2 % 0.949-4.5%+1.7% 3.1 % 82.1-7.4%+7.9% 1.6 %
125.09 0.109-12.8%+3.5% 4.2 % 0.174-10.6%+2.8% 3.9 % 0.772-4.5%+1.7% 3.2 % 0.949-4.8%+1.8% 3. % 82.1-7.6%+8.3% 1.6 %
125.5 0.107-12.9%+3.3% 4.2 % 0.172-10.4%+2.9% 4.0 % 0.762-4.5%+1.3% 3.2 % 0.937-4.5%+1.5% 3.1 % 81.9-7.6%+8.2% 1.6 %

Cross section (in fb) for tthh at NLO QCD with the central scale μ0 = μR = μF = Mhh/2. The first uncertainty is the scale uncertainty and the second is the PDF + αs uncertainty based on the PDF4LHC15nnlomc set

hhtj

mh (GeV) √s = 7 TeV √s = 8 TeV √s = 13 TeV √s = 14 TeV √s = 100 TeV
124.5 0.00335-1.7%+3.9% 6.2 % 0.00551-3.2%+5.6% 5.8 % 0.0289-3.4%+5.4% 4.6 % 0.0365-1.6%+4.4% 4.7 % 4.44-5.6%+5.2% 2.3 %
125 0.00331-1.8%+3.9% 6.1 % 0.00538-3.0%+5.3% 5.6 % 0.0289-3.6%+5.5% 4.7 % 0.0367-1.8%+4.2% 4.6 % 4.44-2.8%+2.2% 2.4 %
125.09 0.00331-2.1%+4.3% 6.3 % 0.00540-3.1%+5.4% 5.6 % 0.0281-3.2%+5.2% 4.5 % 0.0364-1.3%+3.7% 4.7 % 4.43-2.6%+2.0% 2.4 %
125.5 0.00326-1.6%+3.9% 6.1 % 0.00521-3.4%+5.5% 5.8 % 0.0279-4.6%+6.1% 6.4 % 0.0359-1.6%+3.8% 4.7 % 4.43-2.6%+2.1% 2.4 %
Cross section (in fb) for hhtj at NLO QCD with the central scale μ0 = μR = μF = Mhh/2. The first uncertainty is the scale uncertainty and the second is the PDF + αs uncertainty based on the PDF4LHC15nnlomc set

NNLO di-Higgs cross-sections in gluon fusion (old recommendations)

7 TeV
8 TeV
13 TeV
14 TeV
σ[fb] scale unc. PDF unc. σ[fb] scale unc. PDF unc. σ[fb] scale unc. PDF unc. σ[fb] scale unc. PDF unc.
6.85 +10% - 11% 2% 9.96 +9% -10% 2% 34.3 +8% -9% 2% 40.7 +8% -9% 2%
The cross-sections have been obtained by de Florian and Mazzitelli (as in 1309.6594 and 1408.2422.) at NNLO using EFT.

Central scale μ=mHH. CT10 PDF set was used.

Preliminary PDF uncertainties are the envelope of the central values from CT10, NNPDF 3.0, and MSTW. Final PDF uncertainties will be found after the PDF4LHC recommendation in early 2015.

The following parameters have been used:

mh = 126 GeV, mt = 173.18 GeV, mb = 4.75 GeV.

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Topic revision: r22 - 2018-09-05 - MagdalenaSlawinska
 
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