Conference: Meeting of the National Research Group on Gravitational Waves

Gravitational Bremsstrahlung in the Post-Minkowskian Effective Field Theory

30 mars 2021, 10:15

15m

FORMES D’ONDE Contributed talks: Waveforms

Orateur

Massimiliano Maria Riva

Description

We study the gravitational radiation emitted during the scattering of two spinless bodies in the post-Minkowskian Effective Field Theory approach. We derive the conserved stress-energy tensor linearly coupled to gravity and the classical probability amplitude of graviton emission at leading and next-to-leading order in the Newton’s constant $G$. The amplitude can be expressed in compact
form as one-dimensional integrals over a Feynman parameter involving Bessel functions. We use it to recover the leading-order radiated angular momentum. Upon expanding it in the relative velocity between the two bodies $v$, we compute the total four-momentum radiated into gravitational waves at leading-order in $G$ and up to order $v$ 8, finding agreement with what recently computed using scattering amplitude methods. Our results also allow to investigate the zero frequency limit of the emitted energy spectrum.

Documents de présentation

GdR-30-03-21_Riva.pdf