Renormalization group running effects in $pp \to t\bar{t}h$ in the SMEFT

TL;DR

This paper investigates how renormalization group running of Wilson coefficients in the SMEFT affects the differential cross section of $pp o t\bar{t}h$, highlighting the significance of top Yukawa running effects and the limitations of the leading-logarithm approximation.

Contribution

It extends the analysis of SMEFT effects in $pp \to t\bar{t}h$ by including top Yukawa running and compares different renormalization scale choices, providing more accurate predictions.

Findings

Top Yukawa running effects can be significant for large Wilson coefficients.

The choice of renormalization scale impacts the predicted cross sections.

Leading-logarithm approximation may not always be sufficiently accurate.

Abstract

We analyze the effects of renormalization group running of the Wilson coefficients in the SMEFT in the context of single Higgs production in association with a top-antitop pair. In particular, we analyze the differential cross section with respect to the Higgs trasnverse momentum. We extend the usual ${O}({\alpha_s})$ analysis including also the top Yukawa running effects, whose impact can be significant when large Wilson coefficients are considered. We employ a dynamical and a fixed renormalization scale with different set-ups for the Wilson coefficients, defined at the TeV scale. Additionally, we comment on the accuracy of the widely-used first leading-logarithm approximation.