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.
Highlights
Previous paper [53] we gave a general formula for amplitudes with multiple soft gravitons in terms of amplitudes without soft gravitons in any quantum theory of gravity, for arbitrary mass and spin of the external states, following the general method developed in [29,30,31]
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
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
Summary
For computation of tree level scattering amplitude of massless particles in arbitrary dimension, Cachazo-He-Yuan gave a prescription known as CHY prescription. Since this makes use of delta functions with holomorphic arguments, we shall first set up appropriate conventions to deal with these delta functions
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