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On-shell heavy particle effective theories

A bstract We introduce on-shell variables for Heavy Particle Effective Theories (HPETs) with the goal of extending Heavy Black Hole Effective Theory to higher spins and of facilitating its application to higher post-Minkowskian orders. These variables inherit the separation of spinless and spin-incl...

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Bibliographic Details
Published in:The journal of high energy physics 2020-05, Vol.2020 (5), p.1-44, Article 51
Main Authors: Aoude, Rafael, Haddad, Kays, Helset, Andreas
Format: Article
Language:English
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Summary:A bstract We introduce on-shell variables for Heavy Particle Effective Theories (HPETs) with the goal of extending Heavy Black Hole Effective Theory to higher spins and of facilitating its application to higher post-Minkowskian orders. These variables inherit the separation of spinless and spin-inclusive effects from the HPET fields, resulting in an explicit spin-multipole expansion of the three-point amplitude for any spin. By matching amplitudes expressed using the on-shell HPET variables to those derived from the one-particle effective action, we find that the spin-multipole expansion of a heavy spin- s particle corresponds exactly to the multipole expansion (up to order 2 s ) of a Kerr black hole, that is, without needing to take the infinite spin limit. Finally, we show that tree-level radiative processes with same-helicity bosons emitted from a heavy spin- s particle exhibit a spin-multipole universality.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2020)051