The massrichness relation of optically selected clusters from weak gravitational lensing and abundance with Subaru HSC firstyear data
Abstract
Constraining the relation between the richness N and the halo mass M over a wide redshift range for optically selected clusters is a key ingredient for clusterrelated science in optical surveys, including the Subaru Hyper SuprimeCam (HSC) survey. We measure stacked weaklensing profiles around 1747 HSC CAMIRA clusters over a redshift range of 0.1 ≤ z_{cl} ≤ 1.0 with N ≥ 15 using the HSC firstyear shear catalog covering ̃140 deg^{2}. The exquisite depth and image quality of the HSC survey allow us to measure lensing signals around highredshift clusters at 0.7 ≤ z_{cl} ≤ 1.0 with a signaltonoise ratio of 19 within the comoving radius range 0.5≲ R≲ 15 h^{1}Mpc. We constrain the richnessmass relations P(ln N ∣ M, z) of HSC CAMIRA clusters assuming a lognormal distribution without informative priors on model parameters, by jointly fitting to the lensing profiles and abundance measurements under both Planck and WMAP cosmological models. We show that our model gives acceptable pvalues when we add redshiftdependent terms proportional to ln (1 + z) and [ln (1 + z)]^{2} in the mean and scatter relations of P(ln N ∣ M, z). Such terms presumably originate from the variation of photometric redshift errors as a function of redshift. We show that constraints on the mean relation <M ∣ N> are consistent between the Planck and WMAP models, whereas the scatter values σ_{ln M ∣ N} for the Planck model are systematically larger than those for the WMAP model. We also show that the scatter values for the Planck model increase toward lower richness values, whereas those for the WMAP model are consistent with constant values as a function of richness. This result highlights the importance of the scatter in the massrichness relation for cluster cosmology.
 Publication:

Publications of the Astronomical Society of Japan
 Pub Date:
 October 2019
 DOI:
 10.1093/pasj/psz092
 arXiv:
 arXiv:1904.07524
 Bibcode:
 2019PASJ...71..107M
 Keywords:

 cosmology: observations;
 dark matter;
 galaxies: clusters: general;
 gravitational lensing: weak;
 largescale structure of universe;
 methods: data analysis;
 Astrophysics  Cosmology and Nongalactic Astrophysics
 EPrint:
 31 pages, 14 figures, 3 tables. v2 matches accepted version that will be published in PASJ (minor changes from v1)