Factorized soft graviton theorems at loop level

Abstract

We analyze the low-energy behavior of scattering amplitudes involving gravitons at loop level in four dimensions. The single-graviton soft limit is controlled by soft operators which have been argued to separate into a factorized piece and a non-factorizing infrared divergent contribution. In this note we show that the soft operators responsible for the factorized contributions are strongly constrained by gauge and Poincare invariance under the assumption of a local structure. We show that the leading and subleading orders in the soft-momentum expansion can not receive radiative corrections. The first radiative correction occurs for the sub-subleading soft graviton operator and is one-loop exact. It depends on only two undetermined coefficients which should reflect the field content of the theory under consideration.

15 pages, 1 figure

References in corpus (12)

• Evidence for a New Soft Graviton Theorem
• Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
• On Loop Corrections to Subleading Soft Behavior of Gluons and Gravitons
• Loop Corrections to Soft Theorems in Gauge Theories and Gravity
• Soft sub-leading divergences in Yang-Mills amplitudes
• Subleading soft theorem in arbitrary dimension from scattering equations
• The method of regions and next-to-soft corrections in Drell-Yan production
• Constraining subleading soft gluon and graviton theorems
• Diagrammatic insights into next-to-soft corrections
• Subleading Soft Factor for String Disk Amplitudes
• Soft Graviton Theorem in Arbitrary Dimensions
• Are Soft Theorems Renormalized?

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• Double-Soft Limits of Gluons and Gravitons
• A Note on Soft Factors for Closed String Scattering