Renormalisation group effects on SMEFT interpretations of LHC data

TL;DR

This paper investigates how Renormalisation Group effects influence the interpretation of LHC data within the SMEFT framework, enabling more accurate global fits of collider observables across different energy scales.

Contribution

It introduces a method to incorporate RG running and mixing of Wilson coefficients into Monte Carlo simulations for SMEFT analyses of LHC data.

Findings

RG effects significantly alter SMEFT predictions for top quark pair production.

Inclusion of RG running refines bounds on Wilson coefficients from LHC measurements.

The approach improves the consistency of SMEFT interpretations across different energy scales.

Abstract

We explore the impact of Renormalisation Group (RG) effects in the Standard Model Effective Field Theory (SMEFT) interpretations of LHC measurements. We implement the RG running and mixing for the Wilson coefficients as obtained from the one-loop anomalous dimension matrix in the SMEFT into a Monte Carlo generator. This allows to consistently predict and combine in global fits collider observables characterised by different scales. As a showcase, we examine the impact of RG running in the strong coupling on the SMEFT predictions for $t \bar t$ production cross sections and differential distributions as well as on the bounds on the Wilson coefficients that can be obtained from current LHC data.