Work

Phase-space integrals through Mellin-Barnes representation

Year: 2025

Type: article

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 ( ε 2 ) and for massive momentum to O ( ε ) . 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.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/xj2h-89q7

Authors: Taushif Ahmed, Syed Mehedi Hasan, Andreas Rapakoulias

Institution: University of Regensburg

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: Deutsche Forschungsgemeinschaft

Award: FOR 2926: Next Generation Perturbative QCD for Hadron Structure: Preparing for the ElectronIon Collider