  We present stellar-dynamical measurements of the central supermassive black
hole (SMBH) in the S0 galaxy NGC 307, using adaptive-optics IFU data from
VLT-SINFONI. We investigate the effects of including dark-matter haloes as well
as multiple stellar components with different mass-to-light (M/L) ratios in the
dynamical modeling. Models with no halo and a single stellar component yield a
relatively poor fit with a low value for the SMBH mass ($7.0 \pm 1.0 \times
10^{7} M_{\odot}$) and a high stellar M/L ratio (K-band M/L = $1.3 \pm 0.1$).
Adding a halo produces a much better fit, with a significantly larger SMBH mass
($2.0 \pm 0.5 \times 10^{8} M_{\odot}$) and a lower M/L ratio ($1.1 \pm 0.1$).
A model with no halo but with separate bulge and disc components produces a
similarly good fit, with a slightly larger SMBH mass ($3.0 \pm 0.5 \times
10^{8} M_{\odot}$) and an identical M/L ratio for the bulge component, though
the disc M/L ratio is biased high (disc M/L $ = 1.9 \pm 0.1$). Adding a halo to
the two-stellar-component model results in a much more plausible disc M/L ratio
of $1.0 \pm 0.1$, but has only a modest effect on the SMBH mass ($2.2 \pm 0.6
\times 10^{8} M_{\odot}$) and leaves the bulge M/L ratio unchanged. This
suggests that measuring SMBH masses in disc galaxies using just a single
stellar component and no halo has the same drawbacks as it does for elliptical
galaxies, but also that reasonably accurate SMBH masses and bulge M/L ratios
can be recovered (without the added computational expense of modeling haloes)
by using separate bulge and disc components.
