We study the consistency of the cubic couplings of a (partially-)massless
spinning field to two scalars in $\left(d+1\right)$-dimensional de Sitter
space. Gauge invariance of observables with external (partially)-massless
spinning fields translates into Ward-Takahashi identities on the boundary.
Using the Mellin-Barnes representation for boundary correlators in momentum
space, we give a systematic study of Ward-Takahashi identities for tree-level
3- and 4-point processes involving a single external (partially-)massless field
of arbitrary integer spin-$J$. 3-point Ward-Takahashi identities constrain the
mass of the scalar fields to which a (partially-)massless spin-$J$ field can
couple. 4-point Ward-Takahashi identities then constrain the corresponding
cubic couplings. For massless spinning fields, we show that Weinberg's flat
space results carry over to $\left(d+1\right)$-dimensional de Sitter space: For
spins $J=1,2$ gauge-invariance implies charge-conservation and the equivalence
principle while, assuming locality, higher-spins $J>2$ cannot couple
consistently to scalar matter. This result also applies to anti-de Sitter
space. For partially-massless fields, restricting for simplicity to those of
depth-2, we show that there is no consistent coupling to scalar matter in local
theories. Along the way we give a detailed account of how contact amplitudes
with and without derivatives are represented in the Mellin-Barnes
representation. Various new explicit expressions for 3- and 4-point functions
involving (partially-)massless fields and conformally coupled scalars in dS$_4$
are given.