Abstract
Abstract
Loop amplitudes for massless five particle scattering processes contain Feynman integrals depending on the external momentum invariants: pentagon functions. We perform a detailed study of the analyticity properties and cut structure of these functions up to two loops in the planar case, where we classify and identify the minimal set of basis functions. They are computed from the canonical form of their differential equations and expressed in terms of generalized polylogarithms, or alternatively as one-dimensional integrals. We present analytical expressions and numerical evaluation routines for these pentagon functions, in all kinematical configurations relevant to five-particle scattering processes.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference60 articles.
1. R.K. Ellis, Z. Kunszt, K. Melnikov and G. Zanderighi, One-loop calculations in quantum field theory: from Feynman diagrams to unitarity cuts, Phys. Rept.
518 (2012) 141 [arXiv:1105.4319] [INSPIRE].
2. H. Ita, Two-loop integrand decomposition into master integrals and surface terms, Phys. Rev.
D 94 (2016) 116015 [arXiv:1510.05626] [INSPIRE].
3. S. Abreu et al., Subleading poles in the numerical unitarity method at two loops, Phys. Rev.
D 95 (2017) 096011 [arXiv:1703.05255] [INSPIRE].
4. S. Badger, C. Brønnum-Hansen, H.B. Hartanto and T. Peraro, First look at two-loop five-gluon scattering in QCD, Phys. Rev. Lett.
120 (2018) 092001 [arXiv:1712.02229] [INSPIRE].
5. J. Gluza, K. Kajda and D.A. Kosower, Towards a basis for planar two-loop integrals, Phys. Rev.
D 83 (2011) 045012 [arXiv:1009.0472] [INSPIRE].
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