Soft gluon resummation in the signal-background interference process of $gg(\to h^{\ast })\to ZZ$

Abstract

We present a precise theoretical prediction for the signal-background interference process of $gg(\to h^{\ast })\to ZZ$, which is useful to constrain the Higgs boson decay width and to measure Higgs couplings to the SM particles. The approximate NNLO $K$-factor is in the range of $2.05-2.45$ ($1.85-2.25$), depending on $M_{ZZ}$, at the 8 (13) TeV LHC. And the soft gluon resummation can increase the approximate NNLO result by about $10\%$ at both the 8 TeV and 13 TeV LHC. The theoretical uncertainties including the scale, uncalculated multi-loop amplitudes of the background and PDF$+{\alpha }_s$ are roughly $\mathcal{O}(10\%)$ at $\mathrm{NNL}{\mathrm{L}}^{\prime }$. We also confirm that the approximate $K$-factors in the interference and the pure signal processes are the same.

18 pages, 9 figures; v2 published in JHEP

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• Measurements of the Higgs boson inclusive and differential fiducial cross sections in the 4$\ell$ decay channel at $\sqrt{s}$ = 13 TeV
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