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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Duhr, C., Gehrmann, T. & Jaquier, M. Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO. J. High Energ. Phys. 2015, 77 (2015). https://doi.org/10.1007/JHEP02(2015)077
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DOI: https://doi.org/10.1007/JHEP02(2015)077