Next-to-leading order mixed QCD-electroweak corrections to Higgs production at the LHC

TL;DR

This paper presents the analytic calculation of mixed QCD-electroweak corrections to Higgs production at the LHC, an important step for precise theoretical predictions after extensive pure QCD calculations.

Contribution

It provides the first analytic computation of two-loop four-point contributions to mixed corrections mediated by light quarks at a specific order.

Findings

Analytic expressions for gluon- and quark-initiated two-loop contributions.

Enhances the precision of Higgs production modeling.

Addresses sub-leading electroweak effects in Higgs physics.

Abstract

After ten years from its discovery, the Higgs boson is still under unprecedented scrutiny. A huge theoretical effort has been invested in modelling Higgs boson production through gluon fusion, reaching $\text{N}^3\text{LO}$ predictions in pure QCD. This incredible theoretical achievement makes the exact computation of sub-leading contributions, such as mixed QCD-Electroweak corrections, necessary. I will present the analytic calculation of the gluon- and quark-initiated two-loop four-point contributions to such class of corrections mediated by light quarks at order $v \alpha^2 \alpha_S^{3/2}$.