Neutrino masses and cosmological parameters from a Euclidlike survey: Markov Chain Monte Carlo forecasts including theoretical errors
Abstract
We present forecasts for the accuracy of determining the parameters of a minimal cosmological model and the total neutrino mass based on combined mock data for a future Euclidlike galaxy survey and Planck. We consider two different galaxy surveys: a spectroscopic redshift survey and a cosmic shear survey. We make use of the Monte Carlo Markov Chains (MCMC) technique and assume two sets of theoretical errors. The first error is meant to account for uncertainties in the modelling of the effect of neutrinos on the nonlinear galaxy power spectrum and we assume this error to be fully correlated in Fourier space. The second error is meant to parametrize the overall residual uncertainties in modelling the nonlinear galaxy power spectrum at small scales, and is conservatively assumed to be uncorrelated and to increase with the ratio of a given scale to the scale of nonlinearity. It hence increases with wavenumber and decreases with redshift. With these two assumptions for the errors and assuming further conservatively that the uncorrelated error rises above 2% at k = 0.4 h/Mpc and z = 0.5, we find that a future Euclidlike cosmic shear/galaxy survey achieves a 1σ error on M{sub ν} close to 32 meV/25more »
 Authors:

 Institut de Théorie des Phénomènes Physiques, École PolytechniqueFédérale de Lausanne, CH1015, Lausanne (Switzerland)
 Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ, 08540 (United States)
 Kavli Institute for Cosmology and Institute of Astronomy, Madingley Road, Cambridge, CB3 0HA (United Kingdom)
 INAF/Osservatorio Astronomico di Trieste, Via Tiepolo 11, 34143, Trieste (Italy)
 Publication Date:
 OSTI Identifier:
 22279618
 Resource Type:
 Journal Article
 Journal Name:
 Journal of Cosmology and Astroparticle Physics
 Additional Journal Information:
 Journal Volume: 2013; Journal Issue: 01; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 14757516
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASTROPHYSICS; COSMOLOGICAL MODELS; COSMOLOGY; ENERGY SPECTRA; ERRORS; GALAXIES; MARKOV PROCESS; MEV RANGE; MONTE CARLO METHOD; NEUTRINOS; NONLINEAR PROBLEMS; RED SHIFT; REST MASS; SHEAR; SPACE
Citation Formats
Audren, Benjamin, Lesgourgues, Julien, Bird, Simeon, Haehnelt, Martin G., and Viel, Matteo. Neutrino masses and cosmological parameters from a Euclidlike survey: Markov Chain Monte Carlo forecasts including theoretical errors. United States: N. p., 2013.
Web. doi:10.1088/14757516/2013/01/026.
Audren, Benjamin, Lesgourgues, Julien, Bird, Simeon, Haehnelt, Martin G., & Viel, Matteo. Neutrino masses and cosmological parameters from a Euclidlike survey: Markov Chain Monte Carlo forecasts including theoretical errors. United States. doi:10.1088/14757516/2013/01/026.
Audren, Benjamin, Lesgourgues, Julien, Bird, Simeon, Haehnelt, Martin G., and Viel, Matteo. Tue .
"Neutrino masses and cosmological parameters from a Euclidlike survey: Markov Chain Monte Carlo forecasts including theoretical errors". United States. doi:10.1088/14757516/2013/01/026.
@article{osti_22279618,
title = {Neutrino masses and cosmological parameters from a Euclidlike survey: Markov Chain Monte Carlo forecasts including theoretical errors},
author = {Audren, Benjamin and Lesgourgues, Julien and Bird, Simeon and Haehnelt, Martin G. and Viel, Matteo},
abstractNote = {We present forecasts for the accuracy of determining the parameters of a minimal cosmological model and the total neutrino mass based on combined mock data for a future Euclidlike galaxy survey and Planck. We consider two different galaxy surveys: a spectroscopic redshift survey and a cosmic shear survey. We make use of the Monte Carlo Markov Chains (MCMC) technique and assume two sets of theoretical errors. The first error is meant to account for uncertainties in the modelling of the effect of neutrinos on the nonlinear galaxy power spectrum and we assume this error to be fully correlated in Fourier space. The second error is meant to parametrize the overall residual uncertainties in modelling the nonlinear galaxy power spectrum at small scales, and is conservatively assumed to be uncorrelated and to increase with the ratio of a given scale to the scale of nonlinearity. It hence increases with wavenumber and decreases with redshift. With these two assumptions for the errors and assuming further conservatively that the uncorrelated error rises above 2% at k = 0.4 h/Mpc and z = 0.5, we find that a future Euclidlike cosmic shear/galaxy survey achieves a 1σ error on M{sub ν} close to 32 meV/25 meV, sufficient for detecting the total neutrino mass with good significance. If the residual uncorrelated errors indeed rises rapidly towards smaller scales in the nonlinear regime as we have assumed here then the data on nonlinear scales does not increase the sensitivity to the total neutrino mass. Assuming instead a ten times smaller theoretical error with the same scale dependence, the error on the total neutrino mass decreases moderately from σ(M{sub ν}) = 18 meV to 14 meV when mildly nonlinear scales with 0.1 h/Mpc < k < 0.6 h/Mpc are included in the analysis of the galaxy survey data.},
doi = {10.1088/14757516/2013/01/026},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {14757516},
number = 01,
volume = 2013,
place = {United States},
year = {2013},
month = {1}
}