PentagonFunctions Project

PentagonFunctions provides the basis functions and master intgrals for two-loop five-point functions.

Topology (a): planar pentabox

T. Gehrmann, J.M. Henn, N.A. Lo Presti: Pentagon Functions for Massless Planar Scattering Amplitudes, arXiv:1807.09812, JHEP 1810 (2018) 103

• analytic result: pentabox_result.tgz
• numerical routine (Minkowskian and Euclidian): evaluate_pentagon_v2.tar.gz
• numerical routine in GHPL (only Euclidian): euclideanGHPL.tar.gz

Topology (b): hexa-box

D. Chicherin, T. Gehrmann, J.M. Henn, N.A. Lo Presti, V. Mitev, P. Wasser: Analytic Result for Nonplanar Hexa-box Integrals, arXiv:1809.06240, JHEP 1903 (2019) 042

• analytic result: hexabox_result.tgz

Topology (c): double pentagon

Two-loop five-particle amplitudes in N=4 super Yang-Mills theory and N=8 supergravity

S. Caron-Huot, D. Chicherin, J. Henn, Y. Zhang, S. Zoia: Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in N=4 Super Yang-Mills and N=8 Supergravity, arXiv:2003.03120

• One- and two-loop hard functions in terms of the pentagon functions: 2l_5pt_hardfunctions_N=4_N=8.tar.gz (details in the readme file)

This project is under development, and more results will be made available in due course.