UV complete me: positivity bounds for particles with spin

A bstract 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...

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Bibliographic Details
Published in:	The journal of high energy physics 2018-03, Vol.2018 (3), p.1-58, Article 11
Main Authors:	de Rham, Claudia, Melville, Scott, Tolley, Andrew J., Zhou, Shuang-Yong
Format:	Article
Language:	eng
Subjects:	Classical and Quantum Gravitation Effective Field Theories Elementary Particles Field theory Forward scattering High energy physics Inequalities Particle spin Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Scattering Amplitudes String Theory
Online Access:	Get full text
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Summary:	A bstract 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.
ISSN:	1029-8479 1029-8479