Pentagon Functions for Scattering of Five Massless Particles

Chicherin, Dmitry; Sotnikov, Vasily

doi:10.1007/JHEP12(2020)167

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Pentagon Functions for Scattering of Five Massless Particles

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Chicherin, Dmitry
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Sotnikov, Vasily
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

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Citation

Chicherin, D., & Sotnikov, V. (2020). Pentagon Functions for Scattering of Five Massless Particles. Journal of High Energy Physics, 2020, 167. doi:10.1007/JHEP12(2020)167.

Cite as: https://hdl.handle.net/21.11116/0000-0008-1AF3-9

Abstract

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.