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Analytic computation of three-loop five-point Feynman integrals

Year: 2025
Type: article
Abstract: We evaluate the three-loop five-point pentagon-box-box massless integral family in the dimensional regularization scheme, via canonical differential equation. We use tools from computational algebraic geometry to enable the necessary integral reductions. The boundary values of the differential equation are determined analytically in the Euclidean region. To express the final result, we introduce a new representation of weight six functions in terms of one-fold integrals over the product of weight-three functions with weight-two kernels that are derived from the differential equation. Our work paves the way to the analytic computation of three-loop multileg Feynman integrals.
DOI: 10.1103/qrk2-cym5
Authors: Yuanche Liu, Antonela Matijašić, Julian Miczajka, Yingxuan Xu, Yongqun Xu, Yang Zhang
Institutions: University of Science and Technology of China, Johannes Gutenberg University Mainz, Max Planck Institute for Physics, Humboldt-Universität zu Berlin, Peking University, Peng Huanwu Center for Fundamental Theory
Language: English
Open Access status: hybrid
Awards: G1897041155, G2012042336, G4066435496, EXC 2094: ORIGINS: Vom Ursprung des Universums bis zu den ersten Bausteinen des Lebens, G4524095935, G542833418, G7654887179, GRK 2575: Überdenken der Quantenfeldtheorie
OpenAlex ID: W4410818833
FWCI: 3.357
Cites: 72
Cited by: 7
Related to: 10