Analytic results for decays of color singlets to gg and $q \bar{q}$ final states at NNLO QCD with the nested soft-collinear subtraction scheme

Abstract

We present compact analytic formulas that describe the decay of colorless particles to both q (q) over bar and gg final states through next-to-next-to-leading order in perturbative QCD in the context of the nested soft-collinear subtraction scheme. In addition to their relevance for the description of decays like V -> q (q) over bar\u27, V = Z, W, H -> b (b) over bar and H -> gg, these results provide an important building block for calculating NNLO QCD corrections to arbitrary processes at colliders within the nested soft-collinear subtraction scheme