# Analytic results for color-singlet production at NNLO QCD with the nested soft-collinear subtraction scheme

## TL;DR

This paper derives analytic formulas for fully-differential color-singlet production at NNLO QCD, utilizing the nested soft-collinear subtraction scheme to handle infrared divergences, aiding precise collider calculations.

## Contribution

It provides the first analytic formulas for NNLO fully-differential color-singlet production using the nested soft-collinear subtraction scheme.

## Key findings

- Analytic cancellation of soft and collinear divergences demonstrated.
- Formulas for finite parts of integrated subtraction terms presented.
- Framework enables precise NNLO calculations for hadron collider processes.

## Abstract

We present analytic formulas that describe fully-differential production of color-singlet final states in $q\bar q$ and $gg$ annihilation, including all the relevant partonic channels, through NNLO QCD. We work within the nested soft-collinear scheme which allows for fully local subtraction of infrared divergences. We demonstrate analytic cancellation of soft and collinear poles and present formulas for finite parts of all integrated subtraction terms. These results provide an important building block for calculating NNLO QCD corrections to arbitrary processes at hadron colliders within the nested soft-collinear subtraction scheme.