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.
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