Eikonal methods applied to gravitational scattering amplitudes

Abstract

We apply factorization and eikonal methods from gauge theories to scattering amplitudes in gravity. We hypothesize that these amplitudes factor into an IR-divergent soft function and an IR-finite hard function, with the former given by the expectation value of a product of gravitational Wilson line operators. Using this approach, we show that the IR-divergent part of the n-graviton scattering amplitude is given by the exponential of the one-loop IR divergence, as originally discovered by Weinberg, with no additional subleading IR-divergent contributions in dimensional regularization.

16 pages, 3 figures; v2: title change and minor rewording (published version); v3: typos corrected in eqs.(3.2),(4.1)

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• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Hexagon Wilson loop = six-gluon MHV amplitude
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Three-Loop Superfiniteness of N=8 Supergravity
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• On duality symmetries of supergravity invariants
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• The two-loop five-point amplitude in $\mathcal{N}=8$ supergravity
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• Topology and Wilson lines: global aspects of the double copy
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
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• The Soft $\mathcal{S}$-Matrix in Gravity
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• Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power
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• The Two-Loop Four-Graviton Scattering Amplitudes
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• Webs and Posets
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