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

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.

Comments: 19 pages, 7 figures