UV complete me: positivity bounds for particles with spin

By Claudia de Rham, S. Melville, A. Tolley, Shuang-Yong Zhou. 2017

145 citations recorded by the source corpus.

A bstractFor 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.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/76be0aaabaa604e8f4eddad67439128d521eae85

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Citations in the corpus

The cosmological bootstrap: inflationary correlators from symmetries and singularities (2018, unknown): “For amplitudes, this has led to powerful dispersion relations, which in turn result in nontrivial positivity constraints on the coefficients of higher-dimension operators in the low-energy effective field theory expansion [88] (see also [126–132]).”
Positive moments for scattering amplitudes (2020, background): “[9] Claudia de Rham, Scott Melville, Andrew J.”
New positivity bounds from full crossing symmetry (2020, methodology): “ We shall consider the extension of these bounds to massive particles with spin elsewhere [53], where the application of positivity bounds away from the forward limit is signicantly more challenging [10]. Acknowledgments We would like to thank Claudia de Rham, Yu-tin Huang, Scott Melville, Yu-Jia Wa”