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Eikonal methods applied to gravitational scattering amplitudes

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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.

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2026 1

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representative citing papers

On Carrollian Loop Amplitudes for Gauge Theory and Gravity

hep-th · 2026-04-09 · unverdicted · novelty 6.0 · 2 refs

Loop-level Carrollian amplitudes in N=4 SYM and N=8 supergravity are differential operators on tree-level versions, with logarithmic eikonal behavior and IR-safe factorization via natural splitting.

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  • On Carrollian Loop Amplitudes for Gauge Theory and Gravity hep-th · 2026-04-09 · unverdicted · none · ref 30 · 2 links · internal anchor

    Loop-level Carrollian amplitudes in N=4 SYM and N=8 supergravity are differential operators on tree-level versions, with logarithmic eikonal behavior and IR-safe factorization via natural splitting.