2020/09/30 by Dmitry Chicherin, D. Chicherin, V. Sotnikov +1 · 3 citations
Physics and Astronomy · #Basis (linear algebra) #Computation #Feynman diagram #Infinite set #Massless particle #Particle physics theoretical and experimental studies #Pentagon #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Scattering #Set (abstract data type) #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep12(2020)167
published as J. High Energ. Phys. 2020, 167 (2020) · 50 pages, 4 figures; v2: updated references and minor text changes, matches the published version; v3: fixed minor typo in equation (3.2); analytic results at https://gitlab.com/pentagon-functions/PentagonMI ; C++ code at https://gitlab.com/pentagon-functions/PentagonFunctions-cpp
openalex created_date 2020/09/21 · openalex publication_date 2020/12/01 · arxiv created 2021/11/11 · arxiv updated 2021/11/12 · openalex updated_date 2026/08/05
A bstract 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.