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.
Highlights
The top quark and the Higgs boson occupy a central role in particle-physics studies at current collider energies
The production of a single top quark in association with a Higgs boson is a very interesting process as it involves both of these very massive particles, and its cross section is sensitive to top-quark and Higgs couplings
Next-to-leading-order (NLO) calculations for tqH production have been done in Refs. [3,4]
Summary
The top quark and the Higgs boson occupy a central role in particle-physics studies at current collider energies. Modifications to the couplings due to new physics beyond the Standard Model would directly affect the cross section for tqH production. Searches for this process have been made at the LHC at 8 TeV [1] and 13 TeV [2] energies. Soft-gluon resummation is a powerful formalism for making theoretical predictions for perturbative corrections at higher orders. We employ our resummation formalism in [10] to calculate cross sections for tqH production.
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