# 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

## TL;DR

This paper derives compact analytic formulas for the decay of colorless particles into quark-antiquark and gluon pairs at NNLO in QCD, using the nested soft-collinear subtraction scheme, aiding precise collider predictions.

## Contribution

It provides the first compact analytic NNLO formulas for color singlet decays into $q\bar{q}$ and $gg$ final states within the nested soft-collinear subtraction scheme.

## Key findings

- Analytic formulas for decay rates at NNLO QCD.
- Applicable to decays like $Z, W, H$ to quarks and gluons.
- Facilitates NNLO calculations for collider processes.

## 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 $V \to q \bar q'$, $V= Z,W$, $H \to b \bar b$ 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.