On soft gluon resummation for associated single top production with a Higgs boson at the LHC

TL;DR

This paper performs threshold resummation of soft gluon corrections at NLL accuracy for associated single top and Higgs production at the LHC, providing analytical formulas and numerical results for cross sections and distributions.

Contribution

It introduces a NLL resummation framework in direct QCD for the s-channel single top plus Higgs production, including non-logarithmic terms at threshold.

Findings

Enhanced predictions for total cross section at the LHC.

Detailed invariant mass distribution results.

Analytical expressions for resummed cross sections.

Abstract

We investigate threshold resummation of soft gluon corrections for the s-channel process of a single top quark production in association with a Higgs boson in the Standard Model. We choose to work in the three-particle invariant mass kinematics in direct QCD, i.e. in the space of Mellin moments. Our results take into account terms of up to next-to-leading logarithmic (NLL) precision, as well as $\mathcal{O} (\alpha_s)$ non-logarithmic terms which do not vanish at threshold. After presenting analytical expressions we discuss the corresponding numerical results for the total cross section and the invariant mass distributions at the LHC.