  We address the issue of the all order multiplicative renormalizability of
SU(2) Yang-Mills theories quantized in the maximal Abelian gauge in presence of
scalar matter fields. The non-linear character of the maximal Abelian gauge
requires the introduction of quartic interaction terms in the Faddeev-Popov
ghosts, a well known feature of this gauge. We show that, when scalar matter
fields are introduced, a second quartic interaction term between scalar fields
and Faddeev-Popov ghosts naturally arises. A BRST invariant action accounting
for those quartic interaction terms is identified and proven to be
multiplicative renormalizable to all orders by means of the algebraic
renormalization procedure.
