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

A bstract 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...

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Bibliographic Details
Published in:	The journal of high energy physics 2019-03, Vol.2019 (3), p.1-37, Article 182
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 Gravitation High energy physics 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 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.
ISSN:	1029-8479 1029-8479