Massive Galileon positivity bounds

A bstract The EFT coefficients in any gapped, scalar, Lorentz invariant field theory must satisfy positivity requirements if there is to exist a local, analytic Wilsonian UV completion. We apply these bounds to the tree level scattering amplitudes for a massive Galileon. The addition of a mass term,...

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Bibliographic Details
Published in:The journal of high energy physics 2017-09, Vol.2017 (9), p.1-32, Article 72
Main Authors: de Rham, Claudia, Melville, Scott, Tolley, Andrew J., Zhou, Shuang-Yong
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Cosmology of Theories beyond the SM
Effective Field Theories
Elementary Particles
Field theory
Global Symmetries
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering
Scattering Amplitudes
String Theory
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Summary:A bstract The EFT coefficients in any gapped, scalar, Lorentz invariant field theory must satisfy positivity requirements if there is to exist a local, analytic Wilsonian UV completion. We apply these bounds to the tree level scattering amplitudes for a massive Galileon. The addition of a mass term, which does not spoil the non-renormalization theorem of the Galileon and preserves the Galileon symmetry at loop level, is necessary to satisfy the lowest order positivity bound. We further show that a careful choice of successively higher derivative corrections are necessary to satisfy the higher order positivity bounds. There is then no obstruction to a local UV completion from considerations of tree level 2-to-2 scattering alone. To demonstrate this we give an explicit example of such a UV completion.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2017)072