Testing Subleading Multiple Soft Graviton Theorem for CHY Prescription

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.

64 pages; v2: added footnote 3 clarifying gauge condition, other minor changes

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Cited by in corpus (17)

• Null Infinity and Unitary Representation of The Poincare Group
• Soft gravitational radiation from ultra-relativistic collisions at sub- and sub-sub-leading order
• Soft Matters, or the Recursions with Massive Spinors
• Double Soft Graviton Theorems and BMS Symmetries
• $1/L^2$ corrected soft photon theorem from a CFT${}_3$ Ward identity
• Multiloop Soft Theorem for Gravitons and Dilatons in the Bosonic String
• Soft Photon theorem in the small negative cosmological constant limit
• Soft Theorems from Compactification
• Classical Soft Theorem in the AdS-Schwarzschild spacetime in small cosmological constant limit
• Soft factors from classical scattering on the Reissner-Nordström spacetime
• Next-to-eikonal corrected double graviton dressing and gravitational wave observables at $\mathcal{O}(G^2)$
• Bootstrapping solutions of scattering equations
• One-loop integrand from generalised scattering equations
• Double Soft Theorem for Generalised Biadjoint Scalar Amplitudes
• Multi-Regge kinematics and the scattering equations
• Soft gravitational radiation from multi-body collisions
• Subleading soft radiation during scattering of dressed states in QED