Gravitational Bremsstrahlung with tidal effects in the post-Minkowskian expansion

TL;DR

This paper calculates tidal effects on gravitational radiation during scattering of two spinless bodies using effective field theory and scattering amplitudes, extending previous results to all velocities at leading order in G.

Contribution

It introduces a method to compute tidal corrections to gravitational waveforms in the post-Minkowskian framework using scattering amplitude techniques.

Findings

Derived the tidal corrections to the quadrupole moments and energy flux.

Produced the waveform in direct space including tidal effects.

Confirmed consistency with existing post-Newtonian results up to NNLO.

Abstract

We compute the mass and current quadrupole tidal corrections to the four-momentum and energy flux radiated during the scattering of two spinless bodies, at leading order in $G$ and at all orders in the velocities, using the effective field theory worldline approach. In particular, we derive the conserved stress-energy tensor linearly coupled to gravity generated by the two bodies, including tidal fields, and the waveform in direct space. The integral is solved using scattering amplitude techniques. We show that our expressions are consistent with existing results up to the next-to-next-to-leading order in the post-Newtonian expansion.