UV complete me: positivity bounds for particles with spin
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Publication:1750859
DOI10.1007/JHEP03(2018)011zbMATH Open1388.81262arXiv1706.02712OpenAlexW3104714126WikidataQ130172274 ScholiaQ130172274MaRDI QIDQ1750859
Author name not available (Why is that?)
Publication date: 23 May 2018
Published in: (Search for Journal in Brave)
Abstract: For a low energy effective theory to admit a standard local, unitary, analytic and Lorentz-invariant UV completion, its scattering amplitudes must satisfy certain inequalities. While these bounds are known in the forward limit for real polarizations, any extension beyond this for particles with nonzero spin is subtle due to their non-trivial crossing relations. Using the transversity formalism (i.e. spin projections orthogonal to the scattering plane), in which the crossing relations become diagonal, these inequalities can be derived for 2-to-2 scattering between any pair of massive particles, for a complete set of polarizations at and away from the forward scattering limit. This provides a set of powerful criteria which can be used to restrict the parameter space of any effective field theory, often considerably more so than its forward limit subset alone.
Full work available at URL: https://arxiv.org/abs/1706.02712
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