Following up on the recent work of Cachazo, He and Yuan [arXiv:1503.04816], 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. Our results agree with that obtained via BCFW recursion relations in arXiv:1504.05558.
The talk will be based on arXiv:1607.02700, 1702.02350.