Double Soft Theorem for Perturbative Gravity

TL;DR

This paper derives the double soft graviton theorem in perturbative gravity, confirming its consistency with Feynman diagram calculations and highlighting the importance of specific diagram limits.

Contribution

It provides a derivation of the double soft graviton theorem using the CHY formula and demonstrates its agreement with traditional Feynman diagram computations.

Findings

Double soft theorem derived using CHY formula matches Feynman diagram results

Certain limits of Feynman diagrams are crucial for the derivation

The work confirms the consistency of different computational approaches in gravity

Abstract

Following up on the recent work of Cachazo, He and Yuan \cite{arXiv:1503.04816 [hep-th]}, we derive the double soft graviton theorem in perturbative gravity. We show that the double soft theorem derived using CHY formula precisely matches with the perturbative computation involving Feynman diagrams. In particular, we find how certain delicate limits of Feynman diagrams play an important role in obtaining this equivalence.