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

Duhr, Claude;Gehrmann, Thomas;Jaquier, Matthieu
(2015) Journal of High Energy Physics — Vol. 2015, n° 2, p. 77 (2015)

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Authors
  • Duhr, ClaudeUCLouvain
    Author
  • Gehrmann, Thomas
    Author
  • Jaquier, Matthieu
    Author
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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Citations

Duhr, C., Gehrmann, T., & Jaquier, M. (2015). Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO. Journal of High Energy Physics, 2015(2), 77. https://doi.org/10.1007/JHEP02(2015)077 (Original work published 2015)