Soft quark effects on H+jet production at NLP accuracy

TL;DR

This paper develops soft quark operators to improve the precision of Higgs plus jet production predictions at next-to-leading power, analyzing their effects on various partonic channels and connecting to related Higgs processes.

Contribution

It introduces a novel framework of soft quark operators for calculating power corrections in Higgs plus jet production at hadron colliders.

Findings

Derived compact analytical expressions for next-to-leading power logarithms.

Quantified the impact of next-to-soft gluon radiation on quark channels.

Established connections between power corrections in different Higgs production modes.

Abstract

We define soft quark operators that enable construction of colour-ordered helicity amplitudes out of the non-radiative ones. We explore these operators for Higgs plus one jet production in a hadron collider and study the next-to-leading power corrections on all partonic channels involving quark(s) and/or anti-quark(s). We also investigate the effect of next-to-soft gluon radiation in these channels employing the technique illustrated in \cite{Pal:2023vec}. Analytical expressions of next-to-leading power leading logarithms thus obtained are simple and compact in nature. Further, we discuss the connection of such logarithms with that of the pseudo-scalar Higgs plus one jet production.