The Hipparcos Proper Motions in Support of the Short RR Lyrae Distance Scale

In this paper we investigate whether a misestimate of proper motions could have been a source of substantial systematic errors in the statistical parallax determination of the absolute magnitude of RR Lyrae stars. In an earlier paper, we showed that the statistical parallax method is extremely robust and rather insensitive to various systematic effects. The main potential problem with this method would therefore arise from systematically bad observational inputs, primarily radial velocities and proper motions. In that paper, we demonstrated that the radial velocities have not been systematically misestimated. Here we turn our attention to proper motions. We compare three different catalogs of proper motions --- Lick, Hipparcos and the one compiled by Wan et al. (WMJ). We find that the WMJ catalog is too heterogeneous to be a reliable source. We analyze the sample of 165 halo RR Lyrae stars with either Lick or Hipparcos proper motions. For the stars with both Lick and Hipparcos proper motions we use the weighted means of reported values. Various possible biases are investigated through vigorous Monte Carlo simulations and we evaluate small corrections due to Malmquist bias, anisotropic positions of the stars on the sky, and non-Gaussian distribution of stellar velocities. The mean RR Lyrae absolute magnitude is M_V = 0.74 +/- 0.12 at the mean metallicity of the sample = -1.60, only 0.01 mag brighter than the value obtained in the previous study which did not incorporate Hipparcos proper motions. The faint absolute magnitudes of RR Lyrae stars confirmed by this analysis gives strong support to the short distance scale