Eikonal methods applied to gravitational scattering amplitudes

Understand

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.