关于软发射在次次软阶之外的普适性
On the universality of soft emission beyond the next-to-soft order
浏览论文内容
中文总结 AI 辅助
本文在壳有效理论框架下，将软定理推广至任意阶，用非辐射振幅紧凑表达全阶外部发射振幅，并以单一规范不变算符描述次次软阶之外的局域发射，同时比较了标量QCD中辐射与非辐射过程的振幅数量。
中文摘要 AI 辅助
Low-Burnett-Kroll定理（已推广至非阿贝尔规范理论）指出，任意硬过程中软规范玻色子的树级发射振幅可以用包含次次软项的非辐射振幅来表达。在壳有效理论框架下重新表述软定理，可以在软展开的任何阶次上自然地将发射过程分解为外部发射和内部发射，且该分解具有规范不变性。在此框架下，我们推导了全阶外部发射振幅的紧凑表达式，该表达式用非辐射振幅表示，并在次次软阶之外的每一阶通过单个规范不变的算符来表达局域发射振幅。对于标量QCD，我们比较了具有任意数量标量夸克和反夸克的辐射与非辐射硬过程的洛伦兹不变和SU(3)不变振幅的数量。
英文摘要
The Low-Burnett-Kroll theorem (extended to non-abelian gauge theory) states that the tree-level emission amplitude of a soft gauge boson from an arbitrary hard process can be expressed in terms of the non-radiative amplitude including the next-to-soft term. Reformulating the soft theorem in the framework of an on-shell effective theory leads to a natural gauge-invariant split into an external and internal emission process to any order in the soft expansion. In this framework, we derive a compact expression for the all-order external emission amplitude expressed in terms of the non-radiative amplitude, and express the local emission amplitude through a single gauge-invariant operator at every order beyond the next-to-soft one. For scalar QCD, we compare the number of Lorentz- and $SU(3)$-invariant amplitudes for the radiative and non-radiative hard process with an arbitrary number of scalar quarks and antiquarks.
发表机构
- Technische Universität München（慕尼黑工业大学）
机构由 AI 辅助整理，请以论文原文为准。
