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  • Letter
  • Open Access

Phase-space integrals through Mellin-Barnes representation

Taushif Ahmed*, Syed Mehedi Hasan†, and Andreas Rapakoulias‡

  • *Contact author: taushif.ahmed@ur.de
  • †Contact author: syed-mehedi.hasan@ur.de
  • ‡Contact author: andreas.rapakoulias@ur.de
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Phys. Rev. D 112, L051903 – Published 29 September, 2025

DOI: https://doi.org/10.1103/xj2h-89q7

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(ε2) 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.

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Outline

Information

Phys. Rev. D 112, L051903– Published 29 September, 2025
  • Received 12 January 2025
  • Accepted 17 September 2025
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