Pentagon functions for scattering of five massless particles

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Publication:2660279

DOI10.1007/JHEP12(2020)167zbMATH Open1457.81126arXiv2009.07803OpenAlexW3116705440MaRDI QIDQ2660279

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Publication date: 29 March 2021

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/2009.07803



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