Leading large-x logarithms of the quark-gluon contributions to inclusive Higgs-boson and lepton-pair production

TL;DR

This paper derives all-order leading double-logarithmic threshold contributions for quark-gluon coefficient functions in Higgs and Drell-Yan production, enhancing understanding of high-energy QCD processes.

Contribution

It provides new all-order expressions for leading double-logarithmic threshold contributions in quark-gluon channels for Higgs and Drell-Yan production, using large-x resummation techniques.

Findings

Derived all-order expressions for threshold contributions.

Resummed coefficient functions are similar to deep-inelastic scattering counterparts.

Results are applicable in the heavy top-quark limit for Higgs production.

Abstract

We present all-order expressions for the leading double-logarithmic threshold contributions to the quark-gluon coefficient functions for inclusive Higgs-boson production in the heavy top-quark limit and for Drell-Yan lepton-pair production. These results have been derived using the structure of the unfactorized cross sections in dimensional regularization and the large-x resummation of the gluon-quark and quark-gluon splitting functions. The resummed coefficient functions, which are identical up to colour factor replacements, are similar to their counterparts in deep-inelastic scattering but slightly more complicated.