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 $q\bar{q}$ 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 $V\to q{\bar{q}}^{\prime }$, $V=Z,W$, $H\to b\bar{b}$ and $H\to gg$, these results provide an important building block for calculating NNLO QCD corrections to arbitrary processes at colliders within the nested soft-collinear subtraction scheme.

40 pages, 2 figures. v2: references added, minor typos corrected; version accepted in EPJC