  We investigate the new contributions to the parameters $g_L$ and $g_R$ of the
$Z b \bar b$ vertex in a multi-Higgs-doublet model (MHDM). We emphasize that
those contributions generally worsen the fit of those parameters to the
experimental data. We propose a solution to this problem, wherein $g_R$ has the
opposite sign from the one predicted by the Standard Model; this solution,
though, necessitates light scalars and large Yukawa couplings in the MHDM.
