Soft-gluon corrections for the associated production of a single top quark and a Higgs boson

TL;DR

This paper analyzes soft-gluon resummation effects in the production of a single top quark and a Higgs boson at the LHC, providing higher-order corrections and demonstrating their dominance in cross section calculations.

Contribution

It presents analytical results for soft-gluon corrections in $tqH$ production and computes approximate NNLO cross sections including uncertainties.

Findings

Soft-gluon corrections are dominant in $tqH$ production.

Approximate NNLO rates significantly improve cross section predictions.

Results include top-quark transverse-momentum and rapidity distributions.

Abstract

We discuss soft-gluon resummation for the associated production of a single top quark and a Higgs boson ($tqH$ production) in single-particle-inclusive (1PI) kinematics. We present analytical results for the higher-order corrections and numerical results for the cross sections at LHC energies. We calculate approximate NNLO total rates, including scale dependence and uncertainties from parton distributions, as well as top-quark transverse-momentum and rapidity distributions. In all cases we find that the soft-gluon corrections are dominant and provide important contributions to the total and differential cross sections.