Soft Theorems to All Orders from Four-Dimensional Ambitwistor Strings

2019/06/21 by Li, QiouShi
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1906.09017

Abstract

We study the behaviour of Yang-Mills and gravity amplitudes under the soft limit in the four-dimensional ambitwistor string formalism and derive their soft theorems to arbitrary order. For this purpose, we apply some mathematics. Methods of combinatorics are used for the expansion of δ functions, and knowledge of graph theory is used for the expansion of reduced determinants. Based on these preliminaries, we expand the formulas of Yang-Mills and gravity amplitudes about the soft parameter ε, and obtain soft theorems to arbitrary order.

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