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We derive analyticity constraints on a nonlinear ghost-free effective theoryof a massive spin-2 particle known as pseudo-linear massive gravity, and on ageneralized theory of a massive spin-1 particle, both of which provide simpleIR completions of Galileon theories. For pseudo-linear massive gravity we findthat, unlike dRGT massive gravity, there is no window of parameter space whichsatisfies the analyticity constraints. For massive vectors which reduce toGalileons in the decoupling limit, we find that no two-derivative actions arecompatible with positivity, but that higher derivative actions can be madecompatible.

Positivity Constraints for Pseudo-linear Massive Spin-2 and Vector Galileons