Massive Galileon positivity bounds

• DOI: 10.1007/jhep09(2017)072
• Publication Date: 2017-09-18T23:05:54Z
• Authors: Claudia de Rham; Scott Melville; Andrew J. Tolley; Shuang-Yong Zhou
• Keywords: Tree (set theory)

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 the tree level scattering amplitudes for massive Galileon. addition of mass term, which does not spoil non-renormalization theorem Galileon and preserves symmetry at loop level, necessary lowest order bound. further show that careful choice successively higher derivative corrections are bounds. There then no obstruction local completion from considerations 2-to-2 alone. To demonstrate this we give an explicit example such