  We study the scaling relations between dark matter (DM) haloes and galaxy
discs using 175 galaxies from the SPARC database. We explore two cosmologically
motivated DM halo profiles: the Einasto profile from DM-only simulations and
the DC14 profile from hydrodynamic simulations. We fit the observed rotation
curves using a Markov Chain Monte Carlo method and break the disc-halo
degeneracy using near-infrared photometry and $\Lambda$CDM-motivated priors. We
find that the characteristic volume density $\rho_{\rm s}$ of DM haloes is
nearly constant over $\sim$5 decades in galaxy luminosity. The scale radius
$r_s$ and the characteristic surface density $\rho_s\cdot r_s$, instead,
correlate with galaxy luminosity. These scaling relations provide an empirical
benchmark to cosmological simulations of galaxy formation.
