Electroweak corrections to Higgs boson pair production: The top-Yukawa and self-coupling contributions

TL;DR

This paper calculates electroweak corrections to Higgs boson pair production via gluon fusion, focusing on top-Yukawa and self-coupling effects, with precise two-loop amplitude evaluations and detailed differential cross section analysis.

Contribution

It provides the first exact symbolic calculation of electroweak corrections to di-Higgs production, including all mass and scale dependencies, and evaluates their impact on key observables.

Findings

Corrections are most significant at low invariant mass and transverse momentum.

The calculation retains full mass dependence during reduction to master integrals.

Differential cross sections show notable electroweak effects in specific kinematic regions.

Abstract

We present results for the Yukawa-enhanced and Higgs self-coupling type electroweak corrections to di-Higgs production in gluon fusion. The calculation of the corresponding four-scale, two-loop amplitude is carried out retaining the exact symbolic dependence on all masses and scales during the reduction to master integrals. The resulting integrals are then evaluated at high precision using both the series expansion of the differential equations and sector decomposition. Differential cross sections for the di-Higgs invariant mass and the transverse momentum of a Higgs boson are shown, where we find that the corrections are most pronounced at low invariant mass and transverse momentum.