论文标题
在近代领先的功率下朝着QED振幅的全顺化分解
Towards all-order factorization of QED amplitudes at next-to-leading power
论文作者
论文摘要
在最近对Yukawa理论的概括之后，我们将Abelian仪表理论振幅的分解幅度幅度幅度幅度振幅（NLP）在软尺度扩展中概括为近距离扩展。通过对前导区域和临时领域的全阶功率计数分析，我们推断出参数较小和零费米质量的分解结构。这需要引入新的通用喷气函数，以实现非辐射和单辐射QED振幅，我们以一环顺序对其进行计算。我们表明，我们的分解公式在一环散射幅度中重现了相关区域，适当地解决了端点差异。它提供了虚拟共线模式的描述，并说明了一个超出一环级别以外的非平凡的硬性相互作用，这使得这是NLP迈向仪表理论幅度的完整全阶分解框架的第一步。
We generalise the factorization of abelian gauge theory amplitudes to next-to-leading power (NLP) in a soft scale expansion, following a recent generalisation for Yukawa theory. From an all-order power counting analysis of leading and next-to-leading regions, we infer the factorized structure for both a parametrically small and zero fermion mass. This requires the introduction of new universal jet functions, for non-radiative and single-radiative QED amplitudes, which we compute at one-loop order. We show that our factorization formula reproduces the relevant regions in one- and two-loop scattering amplitudes, appropriately addressing endpoint divergences. It provides a description of virtual collinear modes and accounts for non-trivial hard-collinear interplay present beyond the one-loop level, making this a first step towards a complete all-order factorization framework for gauge-theory amplitudes at NLP.
