Top-Yukawa-induced Corrections to Higgs Pair Production

TL;DR

This paper calculates the electroweak corrections induced by the top Yukawa coupling to Higgs pair production via gluon fusion, clarifying their relation to the effective Higgs self-coupling in the Standard Model.

Contribution

It derives the top-Yukawa-induced electroweak corrections to Higgs pair production and relates them to the effective trilinear Higgs coupling.

Findings

Electroweak corrections from top Yukawa are significant for Higgs pair production.

The corrections are connected to the effective Higgs self-coupling after integrating out top quarks.

Results improve the precision of theoretical predictions for Higgs pair production.

Abstract

Higgs-boson pair production at hadron colliders is dominantly mediated by the loop-induced gluon-fusion process $gg\to HH$ that is generated by heavy top loops within the Standard Model with a minor per-cent level contamination of bottom-loop contributions. The QCD corrections turn out to be large for this process. In this note, we derive the top-Yukawa-induced part of the electroweak corrections to this process and discuss their relation to an effective trilinear Higgs coupling with integrated out top-quark contributions.