Soft collinear effective theory for gravity

Abstract

We present how to construct a Soft Collinear Effective Theory (SCET) for gravity at the leading and next-to-leading powers from the ground up. The soft graviton theorem and decoupling of collinear gravitons at the leading power are manifest from the outset in the effective symmetries of the theory. At the next-to-leading power, certain simple structures of amplitudes, which are completely obscure in Feynman diagrams of the full theory, are also revealed, which greatly simplifies calculations. The effective lagrangian is highly constrained by effectively multiple copies of diffeomorphism invariance that are inevitably present in gravity SCET due to mode separation, an essential ingredient of any SCET. Further explorations of effective theories of gravity with mode separation may shed light on lagrangian-level understandings of some of the surprising properties of gravitational scattering amplitudes. A gravity SCET with an appropriate inclusion of Glauber modes may serve as a powerful tool for studying gravitational scattering in the Regge limit.

Two references added. Version accepted by Phys. Rev. D

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Cited by in corpus (6)

• 50 Years of Quantum Chromodynamics
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Soft-collinear gravity beyond the leading power
• Infrared and Holographic Aspects of the $S$-Matrix in Gauge Theory and Gravity
• Topics in gravity SCET: the diff Wilson lines and reparametrization invariance
• Analytic structure of the high-energy gravitational amplitude: multi-H diagrams and classical 5PM logarithms