The correlation matrix of Higgs rates at the LHC

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.

25 pages, 1 figure. Complete covariance matrix is available in C, Fortran, Mathematica, PDF, TeX and text formats in ancillary files

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• HiggsSignals-2: Probing new physics with precision Higgs measurements in the LHC 13 TeV era
• Status of the Charged Higgs Boson in Two Higgs Doublet Models
• Current and future constraints on Higgs couplings in the nonlinear Effective Theory
• Joint CMB and BBN Constraints on Light Dark Sectors with Dark Radiation
• Constraining Higgs boson effective couplings at electron-positron colliders
• Study of Higgs Effective Couplings at Electron-Proton Colliders
• The Simplified Likelihood Framework
• Robustness of dark matter constraints and interplay with collider searches for New Physics
• On new physics searches with multidimensional differential shapes
• Current status of MSSM Higgs sector with LHC 13 TeV data
• AlterBBN v2: A public code for calculating Big-Bang nucleosynthesis constraints in alternative cosmologies
• Higgs-Precision Constraints on Colored Naturalness
• Flavour Physics with SuperIso