# Radiation reaction for spinning bodies in effective field theory I: Spin-orbit effects

## TL;DR

This paper calculates the leading spin-related radiation-reaction effects in binary systems at 4th post-Newtonian order using effective field theory, confirming energy conservation and spin evolution properties.

## Contribution

It provides the first detailed computation of linear-in-spin radiation-reaction effects at 4PN order within an effective field theory framework, including consistency checks.

## Key findings

- Energy loss matches emitted power up to Schott terms.
- Radiation reaction does not alter spin evolution at this order.
- Results are consistent across different spin supplementary conditions.

## Abstract

We compute the leading Post-Newtonian (PN) contributions at linear order in the spin to the radiation-reaction acceleration and spin evolution for binary systems, which enter at fourth PN order. The calculation is carried out, from first principles, using the effective field theory framework for spinning compact objects, in both the Newton-Wigner and covariant spin supplementary conditions. A non-trivial consistency check is performed on our results by showing that the energy loss induced by the resulting radiation-reaction force is equivalent to the total emitted power in the far zone, up to so-called "Schott terms." We also find that, at this order, the radiation reaction has no net effect on the evolution of the spins. The spin-spin contributions to radiation reaction are reported in a companion paper.