Angular phase-space integrals with four denominators through Mellin-Barnes

Ahmed, Taushif and Hasan, Syed Mehedi and Rapakoulias, Andreas (2025) Angular phase-space integrals with four denominators through Mellin-Barnes. JOURNAL OF HIGH ENERGY PHYSICS (11): 152. ISSN 1029-8479

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Abstract

We compute four-denominator angular phase-space integrals using the Mellin-Barnes (MB) technique in dimensional regularisation. Independent of the scattering process, an angular integral can be categorised based on the nature of the momenta appearing in the denominators. We address all scenarios involving fully massless and massive momenta. We present a partial fraction decomposition that relates angular integrals with multiple massive momenta to those with a single massive momentum. By solving six- and seven-fold MB integrals, we express the final results up to the finite order in the dimensional regulator in terms of Goncharov polylogarithms.

Item Type: Article
Uncontrolled Keywords: Higher-Order Perturbative Calculations; Higher Order Electroweak Calculations
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 18 Jun 2026 06:30
Last Modified: 18 Jun 2026 06:30
URI: https://pred.uni-regensburg.de/id/eprint/65969

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