Massive Galileon positivity bounds
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Publication:1705955
DOI10.1007/JHEP09(2017)072zbMATH Open1382.85005arXiv1702.08577OpenAlexW2592983677WikidataQ63390875 ScholiaQ63390875MaRDI QIDQ1705955
Author name not available (Why is that?)
Publication date: 19 March 2018
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1702.08577
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