Testing subleading multiple soft graviton theorem for CHY prescription

2017/09/22 by Subhroneel Chakrabarti, Sitender Pratap Kashyap, Biswajit Sahoo +2 · 1 voice · 22 citations
Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Einstein #Gravitation #Graviton #Noncommutative and Quantum Gravity Theories #Quantum gravity #Scattering amplitude #Tree (set theory) #hep-th

paper · pdf · doi:10.1007/jhep01(2018)090

published in Journal of High Energy Physics 2018(1) (Springer Nature) · 64 pages; v2: added footnote 3 clarifying gauge condition, other minor changes

openalex created_date 2017/10/06 · arxiv created 2017/10/25 · openalex publication_date 2018/01/01 · arxiv updated 2018/02/14 · openalex updated_date 2026/08/05

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.

Citations

• Subleading Soft Theorem for Multiple Soft Gravitons
• Multi-soft theorems in gauge theory from MHV diagrams
• Subsubleading soft theorems of gravitons and dilatons in the bosonic string
• Double soft limit of the graviton amplitude from the Cachazo-He-Yuan formalism
• Leading multi-soft limits from scattering equations

Cited by

• Soft factors from classical scattering on the Reissner-Nordström spacetime

Discussions

• I am reading the paper titled Testing Subleading Multiple Soft Graviton Theorem for CHY Prescription . In the text corresponding to eqs. (3.1) through (3.7), the authors justify why $$\sum_{a=1}^n\fra [stackexchange, 6 points]

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