Gravitational Wave Signals from Finite Size Effects in Spinning Binary Inspirals Including Parity Violating Constituents

TL;DR

This paper extends the effective field theory formalism for binary inspirals to include parity violating effects, providing new theoretical predictions for gravitational wave signals that could indicate physics beyond the standard model.

Contribution

It introduces a generalized EFT formalism that accounts for parity violating finite size effects and derives novel gravitational wave signatures from such effects.

Findings

Agreement with previous results in the parity conserving sector

Calculation of current quadrupole moments induced by gravitomagnetic effects

Prediction of unique GW signatures from parity violation, including earlier appearance of current moments

Abstract

We generalize the world line EFT formalism to account for parity violating finite size effects. Results are presented for potentials and radiating moments of a binary inspiral for the parity conserving sector, and agreement is found with, previous calculations. Furthermore, we generate new results in this sector, calculating the current quadrupole moment induced by finite size gravitomagnetic effects. We also present novel results for parity violating sources, which might be due to beyond standard model physics, and show that they generate GW signals with the unique signature that the current-moment appears at 0.5PN order earlier relative to the mass-moment in the PN expansion. Parity violation also induces a new type of potential, which is proportional to the $\textbf{S}\cdot \textbf{r}$. Finally, we present new results for the dissipative force for parity violating constituents, which leads to the curious signature of a force normal to the orbit.