Subleading Soft Theorem for Multiple Soft Gravitons

Abstract

We derive the subleading 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. Our results are valid to all orders in perturbation theory when the number of non-compact space-time dimensions is six or more, but only for tree amplitudes for five or less non-compact space-time dimensions due to enhanced contribution to loop amplitudes from the infrared region.

LaTeX, 47 pages, 13 figures; v2: expanded the section on infrared issues, updated the section on comparison with known results

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Cited by in corpus (40)

• Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions
• Generalized BMS charge algebra
• Null Infinity and Unitary Representation of The Poincare Group
• Logarithmic Terms in the Soft Expansion in Four Dimensions
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Gravity Waves from Soft Theorem in General Dimensions
• Scattering Amplitudes from Soft Theorems and Infrared Behavior
• Cosmological Scattering Equations
• A $d$-Dimensional Stress Tensor for Mink${}_{d+2}$ Gravity
• Classical Sub-subleading Soft Photon and Soft Graviton Theorems in Four Spacetime Dimensions
• Symmetries of free massless particles and soft theorems
• A Classical Proof of the Classical Soft Graviton Theorem in D>4
• Soft Matters, or the Recursions with Massive Spinors
• General null asymptotics and superrotation-compatible configuration spaces in $d\ge 4$
• Soft Radiation from Scattering Amplitudes Revisited
• Testing Subleading Multiple Soft Graviton Theorem for CHY Prescription
• Double Soft Graviton Theorems and BMS Symmetries
• Bootstrapping the $a$-anomaly in $4d$ QFTs
• Multiparticle solutions to Einstein's equations
• Asymptotic Dynamics in Perturbative Quantum Gravity and BMS Supertranslations
• Tree level amplitudes from soft theorems
• $1/L^2$ corrected soft photon theorem from a CFT${}_3$ Ward identity
• New Asymptotic Conservation laws for Electromagnetism
• 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
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• Proof of the Classical Soft Graviton Theorem in D=4
• On the classical limit of the (sub)${}^n$-leading soft graviton theorems in $D=4$ without deflection
• Tree and $1$-loop fundamental BCJ relations from soft theorems
• Double soft graviton factors from the gravitational Wilson line
• Soft Theorems in Chern-Simons Matter Theories
• Helicity Constraints To Soft Factor Of All Spin