Photometric metallicity and distance estimates for $\sim$ 136,000 RR Lyrae stars from Gaia DR3

Xin-Yi Li, Yang Huang, Gao-Chao Liu, Timothy C. Beers, Hua-Wei Zhang

Published 2022-06-15Version 1

We present a sample of 135,873 RR Lyrae stars (RRLs) with precise photometric metallicity and distance estimates from our newly calibrated $P$-$\phi_{31}$-[Fe/H] and $G$-band absolute magnitude-metallicity relations. The $P$-$\phi_{31}$-[Fe/H] relations for RRab and RRc are obtained from nearly 3000 {\it Gaia}-identified RRLs with precise $\phi_{31}$ measurements from the light curves and metallicity estimates from spectroscopy. Using over one thousand nearby RRLs with accurate distances estimated from the parallax measurements with Gaia EDR3, new $G$-band absolute magnitude metallicity relations and near-infrared period-absolute magnitude-metallicity relations for $K_{\rm s}$ and $W1$ bands are constructed. External checks, using other spectroscopic samples of field RRLs and RRL members of globular clusters, show that the typical uncertainties in photometric metallicity are 0.27/0.17 dex for RRab/RRc stars, respectively, without significant systematic offsets. The accuracies of these metallicity estimates are much improved, especially for RRab stars, when compared to those provided by the Gaia DR3. Validations of our distance estimates, again by using RRL members of globular clusters, show that the typical distance errors are 4.6%/3.4% for RRab/RRc stars, respectively. The distance scale from this study is consistent with that of the globular clusters. The distance modulus $\mu_{0}=18.444\pm0.135$ mag for the LMC and $\mu_{0}=18.940\pm0.147$ mag for the SMC are estimated from our RRab star sample, respectively, and are in excellent agreement with previous measurements. The mean metallicity of the LMC and SMC derived in this work are also consistent with the previous determinations. Using our sample, a steep metallicity gradient of $-0.021\pm0.001$ dex/kpc is found for the LMC, while a negligible metallicity gradient of $-0.005\pm0.003$ dex/kpc is obtained for the SMC.