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arXiv · 1804.10624

Positivity Bounds for Massive Spin-1 and Spin-2 Fields

Claudia de Rham·Scott Melville·Andrew J. Tolley·Shuang-Yong Zhou
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Abstract

We apply the recently developed positivity bounds for particles with spin, applied away from the forward limit, to the low energy effective theories of massive spin-1 and spin-2 theories. For spin-1 theories, we consider the generic Proca EFT which arises at low energies from a heavy Higgs mechanism, and the special case of a charged Galileon for which the EFT is reorganized by the Galileon symmetry. For spin-2, we consider generic $Λ_5$ massive gravity theories and the special `ghost-free' $Λ_3$ theories. Remarkably we find that at the level of 2-2 scattering, the positivity bounds applied to $Λ_5$ massive gravity theories impose the special tunings which generate the $Λ_3$ structure. For $Λ_3$ massive gravity theories, the island of positivity derived in the forward limit appears relatively stable against further bounds.

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Claudia de Rham, Scott Melville, Andrew J. Tolley, Shuang-Yong Zhou. 2019-04-02. Positivity Bounds for Massive Spin-1 and Spin-2 Fields. https://doi.org/10.1007/jhep03(2019)182

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