# Real-virtual corrections to Higgs boson pair production at NNLO: three closed top quark loops

## TL;DR

This paper calculates specific real-virtual QCD corrections to Higgs pair production at NNLO, focusing on the interference effects involving top quark loops, providing analytic results for phase-space integrals.

## Contribution

It presents the first analytic computation of real-virtual corrections to Higgs pair production involving three closed top quark loops at NNLO in QCD.

## Key findings

- Analytic expressions for phase-space master integrals.
- Expansion results around the production threshold.
- Exact results using Goncharov polylogarithms.

## Abstract

We compute the real-radiation corrections to Higgs boson pair production at next-to-next-to-leading order in QCD, in an expansion for large top quark mass. We concentrate on the radiative corrections to the interference contribution from the next-to-leading order one-particle reducible and the leading order amplitudes. This is a well defined and gauge invariant subset of the full real-virtual corrections to the inclusive cross section. We obtain analytic results for all phase-space master integrals both as an expansion around the threshold and in an exact manner in terms of Goncharov polylogarithms.