Abstract
We consider the decay of a neutral Higgs boson of arbitrary CP nature to a massive quark antiquark pair at next-to-next-to-leading order in perturbative QCD. Our analysis is made at the differential level using the antenna subtraction framework. We apply our general set-up to the decays of a CP-even and CP-odd heavy Higgs boson to a top-quark top-antiquark pair and to the decay of the 125 GeV Higgs boson to a massive bottom-quark bottom-antiquark pair. In the latter case we calculate, in particular, the two-jet, three-jet, and four-jet decay rates and, for two-jet events, the energy distribution of the leading jet.
Highlights
We consider the decay of a neutral Higgs boson of arbitrary CP nature to a massive quark antiquark pair at next-to-next-to-leading order in perturbative QCD
The second-order term dΓ2 in the expansion (2.1) of the differential decay rate receives the following contributions: i) the double real radiation contribution dΓRNNRLO associated with the squared Born amplitudes of h → QQgg and h → QQqq, and above the 4Q threshold, the squared Born matrix element of h → QQQQ, ii) the real-virtual cross section dΓRNNV LO associated with the matrix element of h → QQg to order αs2 (1-loop times Born), and iii) the double virtual correction dΓVNNVLO associated with the matrix element of h → QQto order αs2 (i.e., 2-loop times Born and 1-loop squared)
Within the antenna subtraction framework, the set-up for calculating the fully differential decay rate of a scalar and pseudoscalar Higgs boson to a massive quark antiquark pair at NNLO in the perturbation series in αs
Summary
We briefly outline the salient features of computing the decay rate of h → QQX to order αs at the differential level using the antenna subtraction method. The second-order term dΓ2 in the expansion (2.1) of the differential decay rate receives the following contributions: i) the double real radiation contribution dΓRNNRLO associated with the squared Born amplitudes of h → QQgg and h → QQqq (where q denotes a massless quark), and above the 4Q threshold, the squared Born matrix element of h → QQQQ, ii) the real-virtual cross section dΓRNNV LO associated with the matrix element of h → QQg to order αs (1-loop times Born), and iii) the double virtual correction dΓVNNVLO associated with the matrix element of h → QQto order αs (i.e., 2-loop times Born and 1-loop squared). We shortly discuss in turn the various terms in (2.3)
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