Phase-space integrals through Mellin-Barnes representation

Ahmed, Taushif and Hasan, Syed Mehedi and Rapakoulias, Andreas (2025) Phase-space integrals through Mellin-Barnes representation. PHYSICAL REVIEW D, 112 (5): L051903. ISSN 2470-0010, 2470-0029

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Abstract

This letter introduces a novel analytical approach to calculating phase-space integrals, crucial for precision in particle physics. We develop a method to compute angular components using multifold Mellin-Barnes integrals, yielding results in terms of Goncharov polylogarithms for integrals involving three denominators. Our results include expressions for massless momenta to O & eth;e2 & THORN; and for massive momentum to O & eth;e & THORN;. We derive recursion relations that reduce integrals with higher powers of denominators to simpler ones. We detail how to combine the angular part with the radial one which requires a careful handling of singularities.

Item Type: Article
Uncontrolled Keywords: NUMERICAL EVALUATION;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 23 Jun 2026 06:50
Last Modified: 23 Jun 2026 06:50
URI: https://pred.uni-regensburg.de/id/eprint/65995

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