Differential decay rates of CP-even and CP-odd Higgs bosons to top and bottom quarks at NNLO QCD

TL;DR

This paper calculates the differential decay rates of CP-even and CP-odd Higgs bosons to top and bottom quarks at NNLO QCD, providing detailed predictions for various jet configurations and energy distributions.

Contribution

It introduces a general framework for NNLO QCD calculations of Higgs decays to massive quarks at the differential level, including CP-mixed states.

Findings

Calculated two-jet, three-jet, and four-jet decay rates for Higgs to bottom quarks.

Analyzed energy distribution of the leading jet in two-jet events.

Provided differential decay rate predictions for CP-even and CP-odd Higgs bosons.

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.