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arXiv · 1411.3587

Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO

Claude Duhr·Thomas Gehrmann·Matthieu Jaquier
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Abstract

The factorisation of QCD matrix elements in the limit of two external partons becoming collinear is described by process-independent splitting amplitudes, which can be expanded systematically in perturbation theory. Working in conventional dimensional regularisation, we compute the two-loop splitting amplitudes for all simple collinear splitting processes, including subleading terms in the regularisation parameter. Our results are then applied to derive an analytical expression for the two-loop single-real contribution to inclusive Higgs boson production in gluon fusion to fourth order (N3LO) in perturbative QCD.

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Claude Duhr, Thomas Gehrmann, Matthieu Jaquier. 2014-11-13. Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO. https://doi.org/10.1007/jhep02(2015)077

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