Taming the off-shell Higgs boson

Abstract

We study the off-shell Higgs data in the process $pp\to h^{(\ast )}\to Z^{(\ast )}{Z}^{(\ast )}\to 4\ell$, to constrain deviations of the Higgs couplings. We point out that this channel can be used to resolve the long- and short-distance contributions to Higgs production by gluon fusion and can thus be complementary to $pp\to ht\bar{t}$ in measuring the top Yukawa coupling. Our analysis, performed in the context of Effective Field Theory, shows that current data do not allow one to draw any model-independent conclusions. We study the prospects at future hadron colliders, including the high-luminosity LHC and accelerators with higher-energy, up to 100 TeV. The available QCD calculations and the theoretical uncertainties affecting our analysis are also briefly discussed.

30 pages, 7 figures, 3 tables; v2: small improvements in discussion, references added, typos corrected. Version submitted to JETP for a special issue in honor of the 60th birthday of V. Rubakov; v3: matches version published in JETP

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