Journal of High Energy Physics

, 2015:77 | Cite as

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

  • Claude Duhr
  • Thomas Gehrmann
  • Matthieu Jaquier
Open Access
Regular Article - Theoretical Physics


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.


Higgs Physics QCD 


Open Access

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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Claude Duhr
    • 1
  • Thomas Gehrmann
    • 2
  • Matthieu Jaquier
    • 2
  1. 1.Center for Cosmology, Particle Physics and Phenomenology (CP3)Université Catholique de LouvainLouvain-La-NeuveBelgium
  2. 2.Physik-InstitutUniversität ZürichZürichSwitzerland

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