Soft Theorems to All Orders from Four-Dimensional Ambitwistor Strings

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 $\delta$ 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 $\epsilon$, and obtain soft theorems to arbitrary order.

The results presented in the paper are not new and incorrect

References in corpus (3)

• Evidence for a New Soft Graviton Theorem
• Ambitwistor strings in 4-dimensions
• Soft sub-leading divergences in Yang-Mills amplitudes