  We derive analyticity constraints on a nonlinear ghost-free effective theory
of a massive spin-2 particle known as pseudo-linear massive gravity, and on a
generalized theory of a massive spin-1 particle, both of which provide simple
IR completions of Galileon theories. For pseudo-linear massive gravity we find
that, unlike dRGT massive gravity, there is no window of parameter space which
satisfies the analyticity constraints. For massive vectors which reduce to
Galileons in the decoupling limit, we find that no two-derivative actions are
compatible with positivity, but that higher derivative actions can be made
compatible.
