Mass-corrections to double-Higgs production & TopoID

TL;DR

This paper investigates finite top quark mass effects on double-Higgs production at NLO in QCD, providing detailed power corrections and introducing a computational package to facilitate higher-order calculations.

Contribution

It offers the first comprehensive inclusion of finite top mass corrections up to O(1/M_t^{12}) for double-Higgs production at NLO and introduces the TopoID package for automating complex Feynman diagram calculations.

Findings

Finite top mass effects significantly impact the Higgs pair production cross section.

The TopoID package automates the reduction of Feynman diagrams to master integrals.

Results facilitate progress towards NNLO calculations in Higgs pair production.

Abstract

We consider power corrections due to a finite top quark mass M_t to the production of a Higgs boson pair within the Standard Model at next-to-leading order (NLO) in QCD. Previous calculations for this process and at this precision were done in the limit of an inifinitely heavy top quark. Our results for the inclusive production cross section at NLO include terms up to O(1/M_t^12). We present the Mathematica package TopoID which for arbitrary processes aims to perform the necessary steps from Feynman diagrams to unrenormalized results expressed in terms of master integrals. We employ it for advancing in this process towards next-to-next-to-leading order (NNLO) where further automatization is needed.