English

Tidal effects for spinning particles

High Energy Physics - Theory 2021-03-31 v1 General Relativity and Quantum Cosmology High Energy Physics - Phenomenology

Abstract

Expanding on the recent derivation of tidal actions for scalar particles, we present here the action for a tidally deformed spin-1/21/2 particle. Focusing on operators containing two powers of the Weyl tensor, we combine the Hilbert series with an on-shell amplitude basis to construct the tidal action. With the tidal action in hand, we compute the leading-post-Minkowskian tidal contributions to the spin-1/2 -- spin-1/2 amplitude, arising at O(G2)\mathcal{O}(G^{2}). Our amplitudes provide evidence that the observed long range spin-universality for the scattering of two point particles extends to the scattering of tidally deformed objects. From the scattering amplitude we find the conservative two-body Hamiltonian, linear and angular impulses, eikonal phase, spin kick, and aligned-spin scattering angle. We present analogous results in the electromagnetic case along the way.

Keywords

Cite

@article{arxiv.2012.05256,
  title  = {Tidal effects for spinning particles},
  author = {Rafael Aoude and Kays Haddad and Andreas Helset},
  journal= {arXiv preprint arXiv:2012.05256},
  year   = {2021}
}

Comments

25 pages + appendices, 2 figures

R2 v1 2026-06-23T20:51:14.913Z