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Tidal effects for spinning particles

Aoude, Rafael and Haddad, Kays and Helset, Andreas (2021) Tidal effects for spinning particles. Journal of High Energy Physics, 2021 (3). Art. No. 97. ISSN 1029-8479. doi:10.1007/jhep03(2021)097.

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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 O(G²). 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.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Aoude, Rafael0000-0001-9259-9257
Haddad, Kays0000-0002-1182-2750
Helset, Andreas0000-0002-5904-3748
Additional Information:© 2021 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: December 18, 2020; Accepted: January 29, 2021; Published: March 9, 2021. We thank Clifford Cheung, Andrés Luna, Ben Maybee, and Julio Parra-Martinez for related discussions. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 764850 “SAGEX” and by the F.R.S.-FNRS with the EOS — be.h project n. 30820817. A.H. is supported by the DOE under grant no. DE-SC0011632 and by the Walter Burke Institute for Theoretical Physics.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Marie Curie Fellowship764850
Fonds de la Recherche Scientifique (FNRS)30820817
Department of Energy (DOE)DE-SC0011632
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Subject Keywords:Effective Field Theories; Scattering Amplitudes; Black Holes
Issue or Number:3
Record Number:CaltechAUTHORS:20210311-130049898
Persistent URL:
Official Citation:Aoude, R., Haddad, K. & Helset, A. Tidal effects for spinning particles. J. High Energ. Phys. 2021, 97 (2021).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108399
Deposited By: Tony Diaz
Deposited On:12 Mar 2021 18:54
Last Modified:16 Nov 2021 19:11

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