
TL;DR
This paper evaluates how galaxy cluster Sunyaev-Zel'dovich surveys can precisely measure the total neutrino mass, highlighting the potential for sub-eV sensitivity with current and future experiments.
Contribution
It assesses the sensitivity of SZ cluster counts to neutrino mass and predicts measurement precision improvements with upcoming surveys and cosmic-variance-limited experiments.
Findings
Planck/SZ can determine neutrino mass with 0.06 eV precision
Future cosmic-variance-limited surveys could reduce uncertainty by two-thirds
Main modeling uncertainty lies in high-mass end of the cluster mass function
Abstract
The expected sensitivity of cluster SZ number counts to neutrino mass in the sub-eV range is assessed. We find that from the ongoing {\it Planck}/SZ measurements the (total) neutrino mass can be determined at a (1-sigma) precision of 0.06 eV, if the mass is in the range 0.1-0.3 eV, and the survey detection limit is set at the 5-sigma significance level. The mass uncertainty is predicted to be lower by a factor ~2/3, if a similar survey is conducted by a cosmic-variance-limited experiment, a level comparable to that projected if CMB lensing extraction is accomplished with the same experiment. At present, the main uncertainty in modeling cluster statistical measures reflects the difficulty in determining the mass function at the high-mass end.
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