Testing Subleading Multiple Soft Graviton Theorem for CHY Prescription
Subhroneel Chakrabarti, Sitender Pratap Kashyap, Biswajit Sahoo,, Ashoke Sen, Mritunjay Verma
TL;DR
This paper verifies the subleading multiple soft graviton theorem within the CHY formalism for Einstein gravity, confirming its validity and resolving previous discrepancies.
Contribution
It explicitly tests and confirms the subleading soft graviton theorem using CHY formulas, clarifying sign conventions and resolving prior inconsistencies.
Findings
Confirmed the subleading soft graviton theorem using CHY amplitudes
Resolved sign discrepancies between general results and CHY calculations
Validated the theorem for arbitrary numbers of gravitons and external states
Abstract
In arXiv:1707.06803 we derived the subleading multiple soft graviton theorem in a generic quantum theory of gravity for arbitrary number of soft external gravitons and arbitrary number of finite energy external states carrying arbitrary mass and spin. In this paper we verify this explicitly using the CHY formula for tree level scattering amplitudes of arbitrary number of gravitons in Einstein gravity. We pay special care to fix the signs of the amplitudes and resolve an apparent discrepancy between our general results in arXiv:1707.06803 and previous results on soft graviton theorem from CHY formula.
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