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Tidal effects for spinning particles

Aoude, Rafael·Haddad, Kays·Helset, Andreas
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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 $\mathcal{O}$( 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.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSBlack HolesEffective Field TheoriesScattering Amplitudes

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Aoude, Rafael, Haddad, Kays, Helset, Andreas. 2021-03-09. Tidal effects for spinning particles. https://doi.org/10.1007/jhep03(2021)097

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