Positivity bounds for massive spin-1 and spin-2 fields

DOI10.1007/JHEP03(2019)182zbMATH Open1414.81156arXiv1804.10624MaRDI QIDQ2421173

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Publication date: 8 June 2019

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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 $Lambd{a}_5$ massive gravity theories and the special `ghost-free' $Lambd{a}_3$ theories. Remarkably we find that at the level of 2-2 scattering, the positivity bounds applied to $Lambd{a}_5$ massive gravity theories impose the special tunings which generate the $Lambd{a}_3$ structure. For $Lambd{a}_3$ massive gravity theories, the island of positivity derived in the forward limit appears relatively stable against further bounds.

Full work available at URL: https://arxiv.org/abs/1804.10624

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