Precision tests of third-generation four-quark operators: $gg \to h$ and $h \to \gamma \gamma$

TL;DR

This paper calculates two-loop corrections to Higgs production and decay processes from third-generation four-quark operators in SMEFT, including mass effects and renormalization group evolution, providing new anomalous dimensions and phenomenological insights.

Contribution

It presents the first detailed two-loop analysis of third-generation four-quark operators' effects on Higgs processes within SMEFT, including finite matching and anomalous dimensions.

Findings

Computed two-loop contributions to $gg o h$ and $h o \gamma\,gamma$

Derived new two-loop anomalous dimensions in SMEFT

Discussed phenomenological implications of the corrections

Abstract

We compute the two-loop contributions to Higgs production via gluon-gluon fusion ($gg \to h$) and Higgs decay into two photons ($h \to \gamma\gamma$), arising from third-generation four-quark operators in the Standard Model effective field theory (SMEFT). Our analysis is performed in the broken phase of the theory, retaining the full dependence on the Higgs and heavy-quark masses. This includes both finite matching corrections and logarithmic effects stemming from the renormalization group evolution within the SMEFT. As a byproduct, new two-loop anomalous dimensions in the SMEFT are obtained. We also briefly discuss the phenomenological implications of our two-loop calculations.