Work

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

Year: 2019
Type: article
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 Λ5 massive gravity theories and the special ‘ghost-free’ Λ3 theories. Remarkably we find that at the level of 2-2 scattering, the positivity bounds applied to Λ5 massive gravity theories, impose the special tunings which generate the Λ3 structure. For Λ3 massive gravity theories, the island of positivity derived in the forward limit appears relatively stable against further bounds.
Authors: Claudia de Rham, Scott Melville, Andrew J. Tolley, Shuang-Yong Zhou
Language: English
Open Access status: diamond
OpenAlex ID: W2798764126
FWCI: 10.81
Cites: 31
Cited by: 129
Related to: 10