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

arXiv:1407.1553 · doi:10.1016/j.physletb.2014.08.044

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.

8 pages, LaTeX, 1 figure (.eps). DESY address until 31 August 2013