Improved optical mass tracer for galaxy clusters calibrated using weak lensing measurements

TL;DR

This paper develops and calibrates an improved optical mass tracer for galaxy clusters using weak lensing data, combining richness and BCG luminosity to enhance mass estimation accuracy for cosmological studies.

Contribution

The study introduces a new combined optical mass tracer calibrated with weak lensing, reducing scatter and improving cluster mass estimates over previous methods.

Findings

Optimal mass estimator combines richness and BCG luminosity.

Calibrated mass relation with reduced scatter.

Enhanced potential for cosmological parameter constraints.

Abstract

We develop an improved mass tracer for clusters of galaxies from optically observed parameters, and calibrate the mass relation using weak gravitational lensing measurements. We employ a sample of ~ 13,000 optically-selected clusters from the Sloan Digital Sky Survey (SDSS) maxBCG catalog, with photometric redshifts in the range 0.1-0.3. The optical tracers we consider are cluster richness, cluster luminosity, luminosity of the brightest cluster galaxy (BCG), and combinations of these parameters. We measure the weak lensing signal around stacked clusters as a function of the various tracers, and use it to determine the tracer with the least amount of scatter. We further use the weak lensing data to calibrate the mass normalization. We find that the best mass estimator for massive clusters is a combination of cluster richness, N_{200}, and the luminosity of the brightest cluster galaxy, L_{BCG}: M_{200\bar{\rho}} = (1.27 +/- 0.08) (N_{200}/20)^{1.20 +/- 0.09} (L_{BCG}/\bar{L}_{BCG}(N_{200}))^{0.71 +/- 0.14} \times 10^{14} h^{-1} M_sun, where $\bar{L}_{BCG}(N_{200})$ is the observed mean BCG luminosity at a given richness. This improved mass tracer will enable the use of galaxy clusters as a more powerful tool for constraining cosmological parameters.