# Higgs-differential cross section at NNLO in dimensional regularisation

## TL;DR

This paper provides an analytic NNLO QCD calculation of the Higgs production cross section differential in Higgs momentum, including higher order dimensional regularisation terms, with numerical predictions for decay product distributions.

## Contribution

It introduces a detailed analytic computation of the Higgs differential cross section at NNLO, incorporating higher order dimensional regularisation terms necessary for future N$^3$LO accuracy.

## Key findings

- Numerical predictions for Higgs decay to gamma gamma distributions.
- Analytic expressions for differential Higgs cross sections at NNLO.
- Methodological advancements in handling dimensional regularisation at high orders.

## Abstract

We present an analytic computation of the Higgs production cross section in the gluon fusion channel, which is differential in the components of the Higgs momentum and inclusive in the associated partonic radiation through NNLO in perturbative QCD. Our computation includes the necessary higher order terms in the dimensional regulator beyond the finite part that are required for renormalisation and collinear factorisation at N$^3$LO. We outline in detail the computational methods which we employ. We present numerical predictions for realistic final state observables, specifically distributions for the decay products of the Higgs boson in the $\gamma\gamma$ decay channel.