Papers › Pentagon Functions for Scattering of Five Massless Particles

Pentagon Functions for Scattering of Five Massless Particles

16 Sep 2020arXiv:2009.07803links table onlyarchive 2025-07-28

Dmitry Chicherin, Vasily Sotnikov

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We complete the analytic calculation of the full set of two-loop Feynman integrals required for computation of massless five-particle scattering amplitudes. We employ the method of canonical differential equations to construct a minimal basis set of transcendental functions, pentagon functions, which is sufficient to express all planar and nonplanar massless five-point two-loop Feynman integrals in the whole physical phase space. We find analytic expressions for pentagon functions which are manifestly free of unphysical branch cuts. We present a public library for numerical evaluation of pentagon functions suitable for immediate phenomenological applications.

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gitlab.com/pentagon-functions/PentagonFunctions-cpp officialmentioned in papermentioned on GitHub report
gitlab.com/pentagon-functions/PentagonMI officialmentioned in papermentioned on GitHub report

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