Massive Galileon Positivity Bounds

Understand

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.