Gravitational Bremsstrahlung with tidal effects in the post-Minkowskian expansion

Understand

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.