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

We present compact analytic formulas that describe the decay of colorless particles to both q$\overline{q}$ 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→q$\overline{q}$′, V=Z,W, H→b$\overline{b}$ 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.