The $ggh$ variations

TL;DR

This paper investigates sub-leading corrections in SMEFT for Higgs production via gluon fusion, analyzing their impact on theoretical error estimates and connecting geometric SMEFT with the $$ formalism.

Contribution

It provides new insights into sub-leading effects in SMEFT calculations and clarifies the relationship between geometric SMEFT and the $$ formalism.

Findings

Sub-leading corrections significantly influence theoretical uncertainties.

Geometric SMEFT results relate closely to the $$ formalism.

Enhanced understanding of Higgs production in SMEFT context.

Abstract

We examine how sub-leading results in the operator and loop expansion for $\sigma(\mathcal{G} \mathcal{G} \rightarrow h)$ in the Standard Model Effective Field Theory (SMEFT) inform theoretical error estimates when studying this production channel in global SMEFT studies. We also discuss the relationship between geometric SMEFT results and the $\kappa$ formalism.