NNLO phase space master integrals for two-to-one inclusive cross sections in dimensional regularization

Abstract

We evaluate all phase space master integrals which are required for the total cross section of generic 2 -> 1 processes at NNLO as a series expansion in the dimensional regulator epsilon. Away from the limit of threshold production, our expansion includes one order higher than what has been available in the literature. At threshold, we provide expressions which are valid to all orders in terms of Gamma functions and hypergeometric functions. These results are a necessary ingredient for the renormalization and mass factorization of singularities in 2 -> 1 inclusive cross sections at NNNLO in QCD.

37 pages, plus 3 ancillary files containing analytic expressions in Maple format

References in corpus (5)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Quark and gluon form factors to three loops
• The fully differential hadronic production of a Higgs boson via bottom quark fusion at NNLO
• On the factorization of overlapping singularities at NNLO

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