Abstract
The imperfect knowledge of the Higgs boson decay rates and cross sections at the LHC constitutes a critical systematic uncertainty in the study of the Higgs boson properties. We show that the full covariance matrix between the Higgs rates can be determined from the most elementary sources of uncertainty by a direct application of probability theory. We evaluate the error magnitudes and full correlation matrix on the set of Higgs cross sections and branching ratios at \( \sqrt{s}=7 \), 8, 13 and 14 TeV, which are provided in ancillary files. The impact of this correlation matrix on the global fits is illustrated with the latest 7+8 TeV Higgs dataset.
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References
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
ATLAS, CMS collaborations, Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC pp collision data at \( \sqrt{s}=7 \) and 8 TeV, CERN-EP-2016-100 [JHEP 08 (2016) 045] [arXiv:1606.02266] [INSPIRE].
S. Fichet and G. Moreau, Anatomy of the Higgs fits: a first guide to statistical treatments of the theoretical uncertainties, Nucl. Phys. B 905 (2016) 391 [arXiv:1509.00472] [INSPIRE].
S. Fichet, Taming systematic uncertainties at the LHC with the central limit theorem, Nucl. Phys. B 911 (2016) 623 [arXiv:1603.03061] [INSPIRE].
J. Butterworth et al., PDF4LHC recommendations for LHC Run II, J. Phys. G 43 (2016) 023001 [arXiv:1510.03865] [INSPIRE].
LHC Higgs Cross Section Working Group collaboration, J.R. Andersen et al., Handbook of LHC Higgs Cross sections: 3. Higgs Properties, arXiv:1307.1347 [INSPIRE].
ATLAS, CMS collaborations, Combined Measurement of the Higgs Boson Mass in pp Collisions at \( \sqrt{s}=7 \) and 8 TeV with the ATLAS and CMS Experiments, Phys. Rev. Lett. 114 (2015) 191803 [arXiv:1503.07589] [INSPIRE].
J. Baglio, A. Djouadi, S. Ferrag and R.M. Godbole, The Tevatron Higgs exclusion limits and theoretical uncertainties: A critical appraisal, Phys. Lett. B 699 (2011) 368 [Erratum ibid. B 702 (2011) 105] [arXiv:1101.1832] [INSPIRE].
J. Baglio, A. Djouadi and R. Godbole, Clarifications on the impact of theoretical uncertainties on the Tevatron Higgs exclusion limits, arXiv:1107.0281 [INSPIRE].
ATLAS, CMS collaborations, the LHC Higgs Combination Group, Procedure for the LHC Higgs boson search combination in Summer 2011, CMS-NOTE-2011-005, ATL-PHYS-PUB-2011-11 (2011).
R.V. Harlander, S. Liebler and H. Mantler, SusHi: A program for the calculation of Higgs production in gluon fusion and bottom-quark annihilation in the Standard Model and the MSSM, Comput. Phys. Commun. 184 (2013) 1605 [arXiv:1212.3249] [INSPIRE].
T. Han, G. Valencia and S. Willenbrock, Structure function approach to vector boson scattering in p p collisions, Phys. Rev. Lett. 69 (1992) 3274 [hep-ph/9206246] [INSPIRE].
M. Spira, http://tiger.web.psi.ch/proglist.html.
T. Han and S. Willenbrock, QCD correction to the pp → W H and ZH total cross-sections, Phys. Lett. B 273 (1991) 167 [INSPIRE].
A. Buckley et al., LHAPDF6: parton density access in the LHC precision era, Eur. Phys. J. C 75 (2015) 132 [arXiv:1412.7420] [INSPIRE].
M. Spira, private communication.
S. Dittmaier, P. Häfliger, M. Krämer, M. Spira and M. Walser, Neutral MSSM Higgs-boson production with heavy quarks: NLO supersymmetric QCD corrections, Phys. Rev. D 90 (2014) 035010 [arXiv:1406.5307] [INSPIRE].
O. Brein, R.V. Harlander and T.J.E. Zirke, vh@nnlo — Higgs Strahlung at hadron colliders, Comput. Phys. Commun. 184 (2013) 998 [arXiv:1210.5347] [INSPIRE].
A. Djouadi, J. Kalinowski and M. Spira, HDECAY: A program for Higgs boson decays in the standard model and its supersymmetric extension, Comput. Phys. Commun. 108 (1998) 56 [hep-ph/9704448] [INSPIRE].
M. Spira, A. Djouadi, D. Graudenz and P.M. Zerwas, Higgs boson production at the LHC, Nucl. Phys. B 453 (1995) 17 [hep-ph/9504378] [INSPIRE].
M. Spira, HIGLU and HDECAY: Programs for Higgs boson production at the LHC and Higgs boson decay widths, Nucl. Instrum. Meth. A 389 (1997) 357 [hep-ph/9610350] [INSPIRE].
S. Dittmaier et al., Handbook of LHC Higgs Cross sections: 2. Differential Distributions, arXiv:1201.3084 [INSPIRE].
G. Moreau, Constraining extra-fermion(s) from the Higgs boson data, Phys. Rev. D 87 (2013) 015027 [arXiv:1210.3977] [INSPIRE].
B. Dumont, S. Fichet and G. von Gersdorff, A Bayesian view of the Higgs sector with higher dimensional operators, JHEP 07 (2013) 065 [arXiv:1304.3369] [INSPIRE].
ATLAS collaboration, Measurement of Higgs boson production in the diphoton decay channel in pp collisions at center-of-mass energies of 7 and 8 TeV with the ATLAS detector, Phys. Rev. D 90 (2014) 112015 [arXiv:1408.7084] [INSPIRE].
ATLAS collaboration, Search for H → γγ produced in association with top quarks and constraints on the Yukawa coupling between the top quark and the Higgs boson using data taken at 7 TeV and 8 TeV with the ATLAS detector, Phys. Lett. B 740 (2015) 222 [arXiv:1409.3122] [INSPIRE].
ATLAS collaboration, Measurements of the properties of the Higgs-like boson in the four lepton decay channel with the ATLAS detector using 25 fb-1 of proton-proton collision data, ATLAS-CONF-2013-013 (2013).
ATLAS collaboration, Measurements of Higgs boson production and couplings in diboson final states with the ATLAS detector at the LHC, Phys. Lett. B 726 (2013) 88 [Erratum ibid. B 734 (2014) 406] [arXiv:1307.1427] [INSPIRE].
ATLAS collaboration, Fiducial and differential cross sections of Higgs boson production measured in the four-lepton decay channel in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, Phys. Lett. B 738 (2014) 234 [arXiv:1408.3226] [INSPIRE].
ATLAS collaboration, Measurements of Higgs boson production and couplings in the four-lepton channel in pp collisions at center-of-mass energies of 7 and 8 TeV with the ATLAS detector, Phys. Rev. D 91 (2015) 012006 [arXiv:1408.5191] [INSPIRE].
ATLAS collaboration, Measurements of the properties of the Higgs-like boson in the WW (∗) → ℓνℓν decay channel with the ATLAS detector using 25fb −1 of proton-proton collision data, ATLAS-CONF-2013-030 (2013).
ATLAS collaboration, Observation and measurement of Higgs boson decays to W W ∗ with ATLAS at the LHC, ATLAS-CONF-2014-060 (2014).
ATLAS collaboration, Search for the associated production of the Higgs boson with a top quark pair in multi-lepton final states with the ATLAS detector, ATLAS-CONF-2015-006 (2015).
ATLAS collaboration, Study of the Higgs boson decaying to W W ∗ produced in association with a weak boson with the ATLAS detector at the LHC, ATLAS-CONF-2015-005 (2015).
ATLAS collaboration, Observation and measurement of Higgs boson decays to WW ∗ with the ATLAS detector, Phys. Rev. D 92 (2015) 012006 [arXiv:1412.2641] [INSPIRE].
ATLAS collaboration, An update of combined measurements of the new Higgs-like boson with high mass resolution channels, ATLAS-CONF-2012-170 (2012).
ATLAS collaboration, Search for H → γγ produced in association with top quarks and constraints on the top quark-Higgs boson Yukawa coupling using data taken at 7 TeV and 8 TeV with the ATLAS detector, ATLAS-CONF-2014-043 (2014).
ATLAS collaboration, Search for the \( b\overline{b} \) decay of the Standard Model Higgs boson in associated (W/Z)H production with the ATLAS detector, JHEP 01 (2015) 069 [arXiv:1409.6212] [INSPIRE].
ATLAS collaboration, Search for the Standard Model Higgs boson produced in association with top quarks and decaying into \( b\overline{b} \) in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, Eur. Phys. J. C 75 (2015) 349 [arXiv:1503.05066] [INSPIRE].
ATLAS collaboration, Evidence for the Higgs-boson Yukawa coupling to tau leptons with the ATLAS detector, JHEP 04 (2015) 117 [arXiv:1501.04943] [INSPIRE].
ATLAS web page, http://atlas.web.cern.ch/Atlas/Collaboration/.
ATLAS collaboration, Measurements of the Higgs boson production and decay rates and coupling strengths using pp collision data at \( \sqrt{s}=7 \) and 8 TeV in the ATLAS experiment, Eur. Phys. J. C 76 (2016) 6 [arXiv:1507.04548] [INSPIRE].
CMS collaboration, Search for the associated production of the Higgs boson with a top-quark pair, JHEP 09 (2014) 087 [Erratum ibid. 10 (2014) 106] [arXiv:1408.1682] [INSPIRE].
CMS collaboration, Measurement of the properties of a Higgs boson in the four-lepton final state, Phys. Rev. D 89 (2014) 092007 [arXiv:1312.5353] [INSPIRE].
CMS collaboration, Measurement of Higgs boson production and properties in the WW decay channel with leptonic final states, JHEP 01 (2014) 096 [arXiv:1312.1129] [INSPIRE].
CMS collaboration, Search for the standard model Higgs boson produced through vector boson fusion and decaying to \( b\overline{b} \), Phys. Rev. D 92 (2015) 032008 [arXiv:1506.01010] [INSPIRE].
CMS collaboration, Evidence for the 125 GeV Higgs boson decaying to a pair of τ leptons, JHEP 05 (2014) 104 [arXiv:1401.5041] [INSPIRE].
CMS collaboration, Evidence for the direct decay of the 125 GeV Higgs boson to fermions, Nature Phys. 10 (2014) 557 [arXiv:1401.6527] [INSPIRE].
CMS web page, https://twiki.cern.ch/twiki/bin/view/CMSPublic/PhysicsResults.
CMS collaboration, Precise determination of the mass of the Higgs boson and tests of compatibility of its couplings with the standard model predictions using proton collisions at 7 and 8 TeV, Eur. Phys. J. C 75 (2015) 212 [arXiv:1412.8662] [INSPIRE].
C. McNeile, C.T.H. Davies, E. Follana, K. Hornbostel and G.P. Lepage, High-Precision c and b Masses and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD, Phys. Rev. D 82 (2010) 034512 [arXiv:1004.4285] [INSPIRE].
Particle Data Group collaboration, K.A. Olive et al., Review of Particle Physics, Chin. Phys. C 38 (2014) 090001 [INSPIRE].
S. Aoki et al., Review of lattice results concerning low-energy particle physics, Eur. Phys. J. C 74 (2014) 2890 [arXiv:1310.8555] [INSPIRE].
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Arbey, A., Fichet, S., Mahmoudi, F. et al. The correlation matrix of Higgs rates at the LHC. J. High Energ. Phys. 2016, 97 (2016). https://doi.org/10.1007/JHEP11(2016)097
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DOI: https://doi.org/10.1007/JHEP11(2016)097