Spin induced multipole moments for the gravitational wave flux from binary inspirals to third Post-Newtonian order

TL;DR

This paper calculates the spin-induced multipole moments for gravitational wave flux from binary inspirals at third Post-Newtonian order, crucial for accurate phase evolution modeling in gravitational wave astronomy.

Contribution

It introduces the calculation of spin-dependent multipole moments at 3PN order using effective field theory, completing the necessary ingredients for precise waveform modeling.

Findings

Derived spin(1)spin(2) and spin(1)spin(1) multipole moments

Provides the last missing component for 3PN phase evolution including spins

Enables more accurate gravitational wave templates for binary inspirals

Abstract

Using effective field theory techniques we calculate the source multipole moments needed to obtain the spin contributions to the power radiated in gravitational waves from inspiralling compact binaries to third Post-Newtonian order (3PN). The multipoles depend linearly and quadratically on the spins and include both spin(1)spin(2) and spin(1)spin(1) components. The results in this paper provide the last missing ingredient required to determine the phase evolution to 3PN including all spin effects which we will report in a separate paper.