Tidal effects for spinning particles

DOI10.1007/JHEP03(2021)097zbMATH Open1461.81134arXiv2012.05256OpenAlexW3135323535MaRDI QIDQ2028296

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Publication date: 31 May 2021

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Abstract: Expanding on the recent derivation of tidal actions for scalar particles, we present here the action for a tidally deformed spin-$1/2$ 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 $mathcalO(G^2)$. 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.

Full work available at URL: https://arxiv.org/abs/2012.05256

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