English

One-Loop Observables to Higher Order in Spin

High Energy Physics - Theory 2024-12-24 v2 General Relativity and Quantum Cosmology

Abstract

We study observables in the scattering of classical, spinning objects using the KMOC formalism. In particular, we derive formulas to higher order in spin and one loop O(G2)\mathcal{O}(G^2) for the spin kick and momentum impulse. Our derivation method is agnostic to the choice of theory or special conditions, such as the spin supplementary condition (SSC); we only rely on the generic structure of long-range scattering amplitudes of non-transverse, massive spinning fields in the classical limit. We check these formulas for the case of gravity and agree with previous results from the eikonal formalism after imposing a SSC.

Keywords

Cite

@article{arxiv.2412.02034,
  title  = {One-Loop Observables to Higher Order in Spin},
  author = {Juan Pablo Gatica},
  journal= {arXiv preprint arXiv:2412.02034},
  year   = {2024}
}
R2 v1 2026-06-28T20:20:36.383Z