Massive Galileon positivity bounds
File(s)
Published version
Author(s)
de Rham, Claudia
Melville, Scott
Tolley, Andrew J
Zhou, Shuang-Yong
Type
Journal Article
Abstract
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.
Date Issued
2017-09-01
Date Acceptance
2017-08-20
Citation
Journal of High Energy Physics, 2017, 2017 (9)
ISSN
1029-8479
Publisher
Springer Verlag (Germany)
Journal / Book Title
Journal of High Energy Physics
Volume
2017
Issue
9
Copyright Statement
© The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative CommonsAttribution License (CC-BY 4.0), which permits any use, distribution and reproduction inany medium, provided the original author(s) and source are credited.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000411030500005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
Effective Field Theories
Global Symmetries
Cosmology of Theories beyond the SM
Scattering Amplitudes
SCATTERING-AMPLITUDES
GRAVITY
BEHAVIOR
SPACE
Publication Status
Published
Article Number
ARTN 072
Date Publish Online
2017-09-18