Galaxy cluster matter profiles: I. Self-similarity and mass calibration
Abstract
We present a study of the weak lensing matter profiles of 698 South Pole Telescope (SPT) thermal Sunyaev-Zel'dovich effect (tSZE) selected galaxy clusters in the redshift range $0.25 <z< 0.94$ that have associated weak gravitational lensing shear profiles from the Dark Energy Survey (DES). When rescaled to account for the mass dependent size and the redshift dependent density, this SPT cluster sample when averaged within bins of redshift and tSZE detection significance shows a lower dispersion in the matter profiles than the unscaled versions. Galaxy clusters from hydrodynamical simulations also exhibit matter profiles that suggest a high degree of self-similarity, with RMS variation among the rescaled average matter profiles improving by a factor of $\approx$6 with redshift and $\approx$23 with mass in comparison to the unscaled average matter profiles. We employ this regularity in a new Bayesian method for weak lensing mass calibration, simultaneously constraining richness-mass and tSZE detection significance-mass relations using average, rescaled cluster matter profiles. We validate the method using realistic mock datasets and present scaling relation constraints for the SPT$\times$DES sample, where we constrain the amplitude, mass trend, redshift trend, and intrinsic scatter. Our scaling relation results are in agreement with the mass calibration derived from the recent cosmological analysis of the SPT$\times$DES data based on a cluster-by-cluster lensing calibration. Our new mass calibration technique offers higher efficiency when compared to the single cluster calibration technique. In addition, the average rescaled matter profiles offer high signal-to-noise constraints on the shape of real cluster profiles which is in good agreement with the $\Lambda$CDM model.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2024
- DOI:
- 10.48550/arXiv.2407.10961
- arXiv:
- arXiv:2407.10961
- Bibcode:
- 2024arXiv240710961S
- Keywords:
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- Astrophysics - Cosmology and Nongalactic Astrophysics
- E-Print:
- 23 pages, 14 figures, submitted to A&