Forecasts on neutrino mass constraints from the redshiftspace twopoint correlation function
Abstract
We provide constraints on the accuracy with which the neutrino mass fraction, f_{ν}, can be estimated when exploiting measurements of redshiftspace distortions, describing in particular how the error on neutrino mass depends on three fundamental parameters of a characteristic galaxy redshift survey: density, halo bias and volume. In doing this, we make use of a series of dark matter halo catalogues extracted from the BASICC simulation. The mock data are analysed via a Markov Chain Monte Carlo likelihood analysis. We find a fitting function that well describes the dependence of the error on bias, density and volume, showing a decrease in the error as the bias and volume increase, and a decrease with density down to an almost constant value for highdensity values. This fitting formula allows us to produce forecasts on the precision achievable with future surveys on measurements of the neutrino mass fraction. For example, a Euclidlike spectroscopic survey should be able to measure the neutrino mass fraction with an accuracy of δf_{ν} ≈ 3.1 × 10^{3} (which is equivalent to δ∑m_{ν} ≈ 0.039eV), using redshiftspace clustering once all the other cosmological parameters are kept fixed to the ΛCDM case.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 November 2016
 DOI:
 10.1093/mnras/stw1948
 arXiv:
 arXiv:1512.06139
 Bibcode:
 2016MNRAS.462.4208P
 Keywords:

 neutrinos;
 cosmological parameters;
 dark energy;
 largescale structure of Universe;
 Astrophysics  Cosmology and Nongalactic Astrophysics
 EPrint:
 14 pages, 19 figures