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Approximate N^sup 3^LO Higgs-boson production cross section using physical-kernel constraints
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Approximate N^sup 3^LO Higgs-boson production cross section using physical-kernel constraints
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Journal Article
Approximate N^sup 3^LO Higgs-boson production cross section using physical-kernel constraints
2014
Overview
Abstract The single-logarithmic enhancement of the physical kernel for Higgs production by gluon-gluon fusion in the heavy top-quark limit is employed to derive the leading so far unknown contributions, ln ^sup 5, 4, 3^(1-z), to the N^sup 3^LO coefficient function in the threshold expansion. Also using knowledge from Higgs-exchange DIS to estimate the remaining terms not vanishing for z=m ^sub H^^sup 2^/[arrow right]1, these results are combined with the recently completed soft + virtual contributions to provide an uncertainty band for the complete N^sup 3^LO correction. For the 2008 MSTW parton distributions these N^sup 3^LO contributions increase the cross section at 14 TeV by (10 ±2)% and (3 ±2.5)% for the standard choices [mu] ^sub R^ = m ^sub H^ and [mu] ^sub R^ = m ^sub H^ /2 of the renormalization scale. The remaining uncertainty arising from the hard-scattering cross sections can be quantified as no more than 5%, which is smaller than that due to the strong coupling and the parton distributions.
Publisher
Springer Nature B.V
Subject
