用Mellin-Barnes表示的相空间积分

IF 5.3 2区物理与天体物理 Q1 Physics and Astronomy

Physical Review D Pub Date : 2025-09-29 DOI:10.1103/xj2h-89q7

Taushif Ahmed, Syed Mehedi Hasan, Andreas Rapakoulias

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引用次数: 0

摘要

这封信介绍了一种新的分析方法来计算相空间积分，这对粒子物理的精度至关重要。我们开发了一种使用多重梅林-巴恩斯积分计算角分量的方法，对涉及三个分母的积分产生Goncharov多对数的结果。我们的结果包括无质量动量到O（ε2）和有质量动量到O（ε）的表达式。我们推导递归关系，将高次幂的积分简化为简单的积分。我们详细介绍了如何将角部分与径向部分结合起来，这需要仔细处理奇点。

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Phase-space integrals through Mellin-Barnes representation

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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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.