Chicherin, D.; Sotnikov, V. Pentagon functions for scattering of five massless particles. (English) Zbl 1457.81126 J. High Energy Phys. 2020, No. 12, Paper No. 167, 49 p. (2020). Summary: 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. Cited in 15 Documents MSC: 81V05 Strong interaction, including quantum chromodynamics 81T15 Perturbative methods of renormalization applied to problems in quantum field theory 81U20 \(S\)-matrix theory, etc. in quantum theory 81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry Keywords:perturbative QCD; scattering amplitudes Software:DiffExp; FiniteFlow; COLLIER; QCDLoop; Caravel; pySecDec; FireFly; LBNL; GiNaC; CANONICA; OneLOop; FORM PDFBibTeX XMLCite \textit{D. Chicherin} and \textit{V. Sotnikov}, J. High Energy Phys. 2020, No. 12, Paper No. 167, 49 p. (2020; Zbl 1457.81126) Full Text: DOI arXiv References: [1] van Hameren, A., OneLOop: For the evaluation of one-loop scalar functions, Comput. Phys. Commun., 182, 2427 (2011) · Zbl 1262.81253 [2] Denner, A.; Dittmaier, S.; Hofer, L., Collier: a fortran-based Complex One-Loop LIbrary in Extended Regularizations, Comput. Phys. 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