论文标题
双柔软定理用于广义双节标量振幅
Double Soft Theorem for Generalised Biadjoint Scalar Amplitudes
论文作者
论文摘要
我们研究了广义Biadjoint标量场理论的双软定理，其幅度是根据$ \ Mathbb {Cp}^{K-1} $计算的。我们发现，只要双重限制不将单个软因子的产物解散，对双重软定理的主要贡献就会来自退化的溶液，否则非退化溶液占主导地位。我们的分析将常规解决方案用于散射方程。大多数结果以$ k = 3 $表示，但我们展示了它们如何推广到任意$ k $。对于任何$ k $，在软外部状态相邻的情况下，我们都有明确的分析结果。
We study double soft theorem for the generalised biadjoint scalar field theory whose amplitudes are computed in terms of punctures on $\mathbb{CP}^{k-1}$. We find that whenever the double soft limit does not decouple into a product of single soft factors, the leading contributions to the double soft theorems come from the degenerate solutions, otherwise the non degenerate solutions dominate. Our analysis uses the regular solutions to the scattering equations. Most of the results are presented for $k=3$ but we show how they generalise to arbitrary $k$. We have explicit analytic results, for any $k$, in the case when soft external states are adjacent.
