The Spectroscopy and H-band Imaging of Virgo cluster galaxies (SHIVir)
  Survey: Scaling Relations and the Stellar-to-Total Mass Relation
  We present here parameter distributions and fundamental scaling relations for
190 galaxies as part of the Spectroscopy and H-bang Imaging of Virgo cluster
galaxies (SHIVir) survey. We find the distribution of galaxy velocities to be
bimodal about $V_{\rm circ} \sim 125$ km ${\rm s^{-1}}$, hinting at the
existence of dynamically unstable modes in the inner regions of galaxies. An
analysis of the Tully-Fisher relation (TFR) of late-type galaxies (LTGs) and
fundamental plane (FP) of early-type galaxies (ETGs) is also presented,
yielding a compendium of galaxy scaling relations. The slope and zero-point of
the Virgo TFR match those of field galaxies, while scatter differences likely
reflect distinct evolutionary histories. The velocities minimizing scatter for
the TFR and FP are measured at large apertures where the baryonic fraction
becomes subdominant. While TFR residuals remain independent of any galaxy
parameters, FP residuals (i.e. the FP "tilt") correlate strongly with the
dynamical-to-stellar mass ratio, yielding stringent galaxy formation
constraints. Furthermore, we construct a stellar-to-total mass relation (STMR)
for ETGs and LTGs and find linear but distinct trends over the range $M_{*} =
10^{8-11} M_{\odot}$. Stellar-to-halo mass relations (SHMRs), which probe the
extended dark matter halo, can be scaled down to masses estimated within the
optical radius, showing a tight match with the Virgo STMR at low masses;
however, possibly inadequate halo abundance matching prescriptions and broad
radial scalings complicate this comparison at all masses. While ETGs appear to
be more compact than LTGs of the same stellar mass in projected space, their
mass-size relations in physical space are identical. The trends reported here
call for validation through well-resolved numerical simulations.
