Mass Calibration of the CODEX Cluster Sample using SPIDERS Spectroscopy -- II. The X-ray Luminosity-Mass Relation

Abstract

We perform the calibration of the X-ray luminosity--mass scaling relation on a sample of 344 CODEX clusters with $z<0.66$ using the dynamics of their member galaxies. Spectroscopic follow-up measurements have been obtained from the SPIDERS survey, leading to a sample of 6,658 red member galaxies. We use the Jeans equation to calculate halo masses, assuming an NFW mass profile and analyzing a broad range of anisotropy profiles. With a scaling relation of the form $L_{\mathrm{X}}\propto {\text{A}}_{\mathrm{X}}{M}_{\text{200c}}^{{\text{B}}_{\mathrm{X}}}E(z{)}^2(1+z{)}^{{\hat{I}}_{\mathrm{X}}^3}$, we find best fit parameters ${\text{A}}_{\mathrm{X}}=5.7_{-0.5}^{+0.4}(\pm 0.6)\times 10^{43}\mathrm{erg}{\mathrm{s}}^{-1}$, ${\text{B}}_{\mathrm{X}}=2.5\pm 0.2(\pm 0.07)$, ${\hat{I}}_{\mathrm{X}}^3=-2.6_{-1.2}^{+1.1}(\pm 0.74)$, where we include systematic uncertainties in parentheses and for a pivot mass and redshift of $3\times 10^{14}{M}_{\odot }$ and 0.16, respectively. We compare our constraints with previous results, and we combine our sample with the SPT SZE--selected cluster subsample observed with \XMM\, extending the validity of our results to a wider range of redshifts and cluster masses.

12 pages, 8 figures, published in MNRAS