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arXiv · 1702.08577

Massive Galileon Positivity Bounds

Claudia de Rham·Scott Melville·Andrew J. Tolley·Shuang-Yong Zhou
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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.

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Claudia de Rham, Scott Melville, Andrew J. Tolley, Shuang-Yong Zhou. 2017-02-27. Massive Galileon Positivity Bounds. https://doi.org/10.1007/jhep09(2017)072

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