RR Lyrae Visual to Infrared Absolute Magnitude Calibrations. In the light of Gaia DR3

Abstract: A probabilistic approach has been used in combination with the parallax data from Gaia (e)DR3 to calibrate Period-Luminosity-(Abundance) (PLZ) Relations covering a wide range of visual to Infrared observations of RR Lyrae stars. Absolute Magnitude Relations are given, derived from the same selection of stars, for $V$, $G$, $I$, $K_\mathrm{s}$ and WISE $W1$ as well as for for the reddening free pseudo-magnitudes $WBV$, $WVI$ and finally also Gaia $WG$. The classical relation between $M_V$ and [Fe/H] is redetermined and as an illustration distances are given to a few selected objects.