Renormalisation group running effects in $pp\to t\bar{t}h$ in the Standard Model Effective Field Theory

TL;DR

This paper investigates how renormalisation group running of Wilson coefficients affects the process $pp o t\bar{t}h$ within the Standard Model Effective Field Theory, highlighting the importance of scale choices and large coefficients.

Contribution

It provides a detailed analysis of RG running effects on Wilson coefficients in $pp \to t\bar{t}h$, considering both strong and top Yukawa interactions, and compares dynamical versus fixed scale approaches.

Findings

RG running significantly impacts Wilson coefficients at TeV scales.

Choice of renormalisation scale alters predictions for $pp \to t\bar{t}h$.

Large Wilson coefficients enhance the importance of Yukawa running effects.

Abstract

We study the effects of renormalisation group running of the Wilson coefficients in Standard Model Effective Field Theory, using the process $pp \to t \bar{t}h$ as a showcase. We consider both strong and top Yukawa running effects, since the latter can be relevant in presence of large Wilson coefficients. We study the difference between the use of a dynamical and fixed renormalisation scale by exploring different scenarios for the higher-dimensional operators at the high energy scale of new physics, assumed to be at the TeV scale.