2020/12/09 by Rafael Aoude, Kays Haddad, Andreas Helset
Physics and Astronomy · #Action (physics) #Amplitude #Black Holes and Theoretical Physics #Eikonal equation #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #Scalar (mathematics) #Scattering #Scattering amplitude #Scattering theory #Spinning #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep03(2021)097
25 pages + appendices, 2 figures
arxiv created 2020/12/09 · openalex created_date 2020/12/21 · openalex publication_date 2021/03/01 · arxiv updated 2021/03/31 · openalex updated_date 2026/08/05
A bstract 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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>O</mml:mi> </mml:math> ( 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.