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

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 $L_{\rm{X}} \propto \text{A}_{\rm{X}}M_{\text{200c}}^{\text{B}_{\rm{X}}} E(z)^2 (1+z)^{γ_{\rm{X}}}$, we find best fit parameters $\text{A}_{\rm{X}}=5.7^{+0.4}_{-0.5} (\pm0.6)\times10^{43}\,\mathrm{erg\,s^{-1}}$, $\text{B}_{\rm{X}}=2.5\pm0.2(\pm0.07)$, $γ_{\rm{X}}=-2.6^{+1.1}_{-1.2}(\pm0.74)$, where we include systematic uncertainties in parentheses and for a pivot mass and redshift of $3\times10^{14}M_\odot$ 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.

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