Impact of SMEFT renormalisation group running on Higgs production at the LHC

TL;DR

This paper investigates how one-loop renormalisation group effects in the SMEFT influence Higgs production predictions at the LHC, affecting the interpretation of experimental data and constraints on new physics.

Contribution

It provides a detailed analysis of the impact of RGE running on SMEFT predictions for Higgs processes, highlighting the importance of dynamical scale choices and RGE effects in constraining Wilson coefficients.

Findings

RGE running significantly alters Higgs production observables.

Dynamical scale choices improve the accuracy of SMEFT predictions.

Including RGE effects refines constraints on Wilson coefficients from LHC data.

Abstract

We study the effects of the one-loop renormalisation group running/mixing of the Wilson coefficients in the standard model effective field theory on the predictions for $Hj$, $t\bar tH$ and $HH$ production at the LHC. We focus on a subset of operators closed under QCD corrections and explore the differences between employing a fixed or dynamical scale on the SMEFT predictions for key observables such as the Higgs transverse momentum and the Higgs pair invariant mass. We then study the impact of consistently taking into account renormalisation group effects on the constraints that can be obtained on the Wilson coefficients through current and future measurements at the LHC.