论文标题
一环金石玻色子振幅的递归关系
Recursion Relations for One-Loop Goldstone Boson Amplitudes
论文作者
论文摘要
在这封信中，我们为SU（N）非线性Sigma模型中的单环平面积分构建了递归关系。这概括了具有特殊软限制的各种量子场理论中树级振幅的软递归。主要成分是单环平面的定义，该定义是通过在广义单位性意义上剪切和要求所有外部腿上的Adler零来固定的。我们表明，这并不是唯一地固定整数，因此必须强加对环动量的软行为的其他约束。我们的工作是扩展现代振幅方法的第一步，用于具有特殊软限制的有效现场理论的循环幅度。
In this letter, we construct the recursion relations for one-loop planar integrands in the SU(N) non-linear sigma model. This generalizes the soft recursions for tree-level amplitudes in a variety of quantum field theories with special soft limits. The main ingredient is the definition of the one-loop planar integrand, which is fixed by cuts in the sense of generalized unitarity and by requiring the Adler zero on all external legs. We show that this does not uniquely fix the integrand, so additional constraints on the soft behavior of the loop momentum have to be imposed. Our work is the first step in extending modern amplitudes methods for loop amplitudes to effective field theories with special soft limits.
