  The ultraviolet singular structure of the bulk-to-bulk propagators for higher
spin gauge fields in $AdS_{4}$ space is analyzed in details. Possible
interactions with the Higgs scalar and the corresponding one loop mass
renormalization are studied. This mass renormalization is finite and connected
with the anomalous dimensions of those currents in the corresponding boundary
$CFT_{3}$ that cease to be conserved when the interaction is switched on. In
particular it is proportional to $\ell-2$.
