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

Anastasiou, Charalampos;Buehler, Stephan;Duhr, Claude;Herzog, Franz
(2012) Journal of High Energy Physics — Vol. 2012, n° 11, p. 62 (2012)

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Authors
  • Anastasiou, Charalampos
    Author
  • Buehler, Stephan
    Author
  • Duhr, ClaudeUCLouvain
    Author
  • Herzog, Franz
    Author
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.
Affiliations
  • ETH ZurichInstitut für Theoretische Physik

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Anastasiou, C., Buehler, S., Duhr, C., & Herzog, F. (2012). NNLO phase space master integrals for two-to-one inclusive cross sections in dimensional regularization. Journal of High Energy Physics, 2012(11), 62. https://doi.org/10.1007/JHEP11(2012)062 (Original work published 2012)