Progress in two-loop electroweak corrections to gg -> HH and gg -> gH

Abstract

In these proceedings, we summarise our recent calculations of next-to-leading order electroweak corrections to Higgs boson pair and Higgs boson plus jet production. The calculations are divided into different regions. In the high-energy region, we analytically calculate the Higgs boson contribution to the leading two-loop Yukawa corrections for $gg\to HH$. These corrections are generated by a single virtual Higgs boson exchange within the top quark loop. Our high-energy expansion yields precise predictions for the region where the Higgs boson transverse momenta $p_T>120$ GeV. In the low-energy region, we compute the complete two-loop electroweak corrections to $gg\to HH$ and $gg\to gH$. We obtain analytic results through the large top quark mass expansion, covering all sectors of the Standard Model.

Contribution to the proceedings of the European Physical Society Conference on High Energy Physics (EPS-HEP2023), 21-25 August 2023, Hamburg, Germany