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Pentagon Functions for Scattering of Five Massless Particles

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arxiv 2009.07803 v3 pith:HKQXEAJW submitted 2020-09-16 hep-ph hep-th

Dmitry Chicherin , Vasily Sotnikov This is my paper · ORCID
classification hep-phhep-th
keywords functionspentagonmasslessanalyticfeynmanintegralsscatteringtwo-loop
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 6 Pith papers

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