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arXiv · 2401.03900

Next-to-eikonal corrected double graviton dressing and gravitational wave observables at ${\cal O}(G^2)$

Karan Fernandes·Feng-Li Lin
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Abstract

Following a recent proposal to describe inelastic eikonal scattering processes in terms of gravitationally dressed elastic eikonal amplitudes, we motivate a collinear double graviton dressing and investigate its properties. This is derived from a generalized Wilson line operator in the worldline formalism by integrating over fluctuations of the eikonal trajectories of external particles in gravitationally interacting theories. The dressing can be expressed as a product of exponential terms -- a coherent piece with contributions to all odd orders in the gravitational coupling constant and a term quadratic in graviton modes, with the former providing classical gravitational wave observables. In particular, the coherent dressing involves $\mathcal{O}(\kappa^3)$ subleading double graviton corrections to the Weinberg soft factor. We use this dressing to derive expressions for the waveform, radiative momentum spectrum and angular momentum. In a limiting case of the waveform, we derive the nonlinear memory effect resulting from the emission of nearly soft gravitons from a scattering process.

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Karan Fernandes, Feng-Li Lin. 2024-01-08. Next-to-eikonal corrected double graviton dressing and gravitational wave observables at ${\cal O}(G^2)$. https://doi.org/10.1007/jhep06(2024)015

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