Next-to-leading order electroweak corrections to $gg \to HH$ and $gg \to gH$ in the large-$m_t$ limit

TL;DR

This paper calculates two-loop electroweak corrections to Higgs pair and Higgs plus jet production processes in the Standard Model, using a large top quark mass expansion to improve theoretical precision.

Contribution

It provides the first comprehensive analytic computation of electroweak corrections for these processes including all Standard Model sectors in the large-$m_t$ limit.

Findings

Analytic form factors derived for the corrections.

Convergence properties of the large-$m_t$ expansion analyzed.

QCD corrections considered for $gg\to gH$ in the same limit.

Abstract

We compute two-loop electroweak corrections to Higgs boson pair and Higgs plus jet production, taking into account all sectors of the Standard Model. All diagrams with virtual top quarks are computed in an expansion for large top quark mass up to order $1/m_t^8$ or more. We present analytic results for the form factors and discuss the convergence properties. For the process $gg\to gH$ we also consider QCD corrections in the large-$m_t$ limit.