Pentagon functions for massless planar scattering amplitudes

Gehrmann, T.; Henn, J.M.; Lo Presti, N.A.

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.

Citation

Gehrmann, T., Henn, J., & Lo Presti, N. (2018). Pentagon functions for massless planar scattering amplitudes. Journal of High Energy Physics, 2018(10), Article 103. https://doi.org/10.1007/jhep10%282018%29103

• Journal Article Type: Article
• Acceptance Date: Oct 8, 2018
• Online Publication Date: Oct 16, 2018
• Publication Date: Oct 16, 2018
• Deposit Date: Jan 18, 2019
• Publicly Available Date: Mar 8, 2019
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2018
• Issue: 10
• Article Number: 103
• DOI: https://doi.org/10.1007/jhep10%282018%29103
• Public URL: https://durham-repository.worktribe.com/output/1309647