Calibrating Cluster Number Counts with CMB lensing

Abstract

CMB Stage-4 experiments will reduce the uncertainties on the gravitational lensing potential by an order of magnitude compared to current measurements, and will also produce a Sunyaev-Zel'dovich (SZ) cluster catalog containing $\sim 10^5$ objects, two orders of magnitudes higher than what is currently available. In this paper we propose to combine these two observables and show that it is possible to calibrate the masses of the full Stage-4 cluster catalog internally owing to the high signal to noise measurement of the CMB lensing convergence field. We find that a CMB Stage-4 experiment will constrain the hydrostatic bias parameter to sub-percent accuracy. We also show constraints on a non parametric $Y-M$ relationship which could be used to study its evolution with mass and redshift. Finally we present a joint likelihood for thermal SZ (tSZ) flux and mass measurements, and show that it could lead to a $\sim 5\sigma$ detection of the lower limit on the sum of the neutrino masses in the normal hierarchy ($\sum m_{\nu }=60\text{meV}$) once combined with measurements of the primordial CMB and CMB lensing power spectra.

11 pages, 8 figures

References in corpus (7)

• Total mass biases in X-ray galaxy clusters
• Evidence of Lensing of the Cosmic Microwave Background by Dark Matter Halos
• A Measurement of Gravitational Lensing of the Cosmic Microwave Background by Galaxy Clusters Using Data from the South Pole Telescope
• Non-Gaussian structure of the lensed CMB power spectra covariance matrix
• Measuring cluster masses with CMB lensing: a statistical approach
• Measurements of E-Mode Polarization and Temperature-E-Mode Correlation in the Cosmic Microwave Background from 100 Square Degrees of SPTpol Data
• CMB Lensing Beyond the Power Spectrum: Cosmological Constraints from the One-Point PDF and Peak Counts

Cited by in corpus (1)

• Complementing the ground-based CMB Stage-4 experiment on large scales with the PIXIE satellite