Neutrino mass constraint with the Sloan Digital Sky Survey power spectrum of luminous red galaxies and perturbation theory

Abstract

We compare the model power spectrum, computed based on perturbation theory (PT) with the power spectrum of luminous red galaxies (LRG) measured from the SDSSDR7 catalog, assuming a flat, CDM-dominated cosmology. The model includes the effects of massive neutrinos, nonlinear matter clustering and nonlinear, scale-dependent galaxy bias in a self-consistent manner. We first test the accuracy of PT-model by comparing the model predictions with the halo power spectrum in real- and redshift-space measured from simulations without massive neutrinos. We show that the PT-model with bias parameters being properly adjusted can fairly well reproduce the simulation results. As a result the best-fit parameters obtained from the hypothetical parameter fitting recover, within statistical uncertainties, the input cosmological parameters in simulations, including an upper bound on neutrino mass, if the power spectrum information up to k~0.15h/Mpc is used. However, for the redshift-space power spectrum, the best-fit cosmological parameters show a sizable bias from the input values if using the information up to k~0.2h/Mpc, probably due to nonlinear redshift distortion effect. Given these tests, we decided, as a conservative choice, to use the LRG power spectrum up to k=0.1h/Mpc in order to minimize possible unknown nonlinearity effects. In combination with the recent results from Wilkinson Microwave Background Anisotropy Probe (WMAP), we derive a robust upper-bound on the sum of neutrino masses, given as m_nu,tot < 0.81eV (95% C.L.), marginalized over other parameters including nonlinear bias parameters and dark energy equation of state parameter. The neutrino mass limit is improved by a factor of 1.85 compared to the limit from the WMAP5 alone, m_nu,tot < 1.5eV.

arXiv comment7 pages, 5 figures, matches version published in Phys. Rev. D

References in corpus (26)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Cosmological Constraints from the Clustering of the Sloan Digital Sky Survey DR7 Luminous Red Galaxies
• Weighing Neutrinos with Galaxy Surveys
• Baryon Acoustic Oscillations in 2D: Modeling Redshift-space Power Spectrum from Perturbation Theory
• The effect of neutrinos on the matter distribution as probed by the Intergalactic Medium
• Upper Bound of 0.28 eV on the Neutrino Masses from the Largest Photometric Redshift Survey
• A new upper limit on the total neutrino mass from the 2dF Galaxy Redshift Survey
• Clustering of dark matter tracers: renormalizing the bias parameters
• Impact of massive neutrinos on nonlinear matter power spectrum
• Non-linear Evolution of Baryon Acoustic Oscillations from Improved Perturbation Theory in Real and Redshift Spaces
• Modeling Nonlinear Evolution of Baryon Acoustic Oscillations: Convergence Regime of N-body Simulations and Analytic Models
• Grid Based Linear Neutrino Perturbations in Cosmological N-body Simulations
• Non-linear Power Spectrum including Massive Neutrinos: the Time-RG Flow Approach
• Cosmology with High-redshift Galaxy Survey: Neutrino Mass and Inflation
• Nonlinear power spectrum in the presence of massive neutrinos: perturbation theory approach, galaxy bias and parameter forecasts
• Perturbation Theory Reloaded II: Non-linear Bias, Baryon Acoustic Oscillations and Millennium Simulation In Real Space
• Fourier analysis of luminosity-dependent galaxy clustering
• Higher order corrections to the large scale matter power spectrum in the presence of massive neutrinos
• Third-order Perturbation Theory With Non-linear Pressure
• Modeling peculiar velocities of dark matter halos
• Neutrino masses from clustering of red and blue galaxies: a test of astrophysical uncertainties

Cited by in corpus (51)

• Cosmology and Fundamental Physics with the Euclid Satellite
• Cosmology and fundamental physics with the Euclid satellite
• Extragalactic Science, Cosmology and Galactic Archaeology with the Subaru Prime Focus Spectrograph (PFS)
• Massive Neutrinos and the Non-linear Matter Power Spectrum
• Lensing is Low: Cosmology, Galaxy Formation, or New Physics?
• Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum
• Cosmology with massive neutrinos II: on the universality of the halo mass function and bias
• DEMNUni: The clustering of large-scale structures in the presence of massive neutrinos
• Cosmology with massive neutrinos I: towards a realistic modeling of the relation between matter, haloes and galaxies
• Neutrino masses and cosmological parameters from a Euclid-like survey: Markov Chain Monte Carlo forecasts including theoretical errors
• The Weak Lensing Signal and the Clustering of BOSS Galaxies II: Astrophysical and Cosmological Constraints
• FAST-PT: a novel algorithm to calculate convolution integrals in cosmological perturbation theory
• Combining perturbation theories with halo models
• Voids in massive neutrino cosmologies
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Signs of neutrino mass in current cosmological datasets
• Halo bias in mixed dark matter cosmologies
• The impact of massive neutrinos on the abundance of massive clusters
• Neutrino constraints from future nearly all-sky spectroscopic galaxy surveys
• New Neutrino Mass Bounds from Sloan Digital Sky Survey III Data Release 8 Photometric Luminous Galaxies
• Connecting massive galaxies to dark matter halos in BOSS - I. Is galaxy color a stochastic process in high-mass halos?
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: weighing the neutrino mass using the galaxy power spectrum of the CMASS sample
• The Weak Lensing Signal and the Clustering of BOSS Galaxies I: Measurements
• Non-linear evolution of the cosmic neutrino background
• Weighing neutrinos with cosmic neutral hydrogen
• Baryon Acoustic Oscillations in 2D II: Redshift-space halo clustering in N-body simulations
• Spherical collapse in $\nu \Lambda CDM$
• The halo model in a massive neutrino cosmology
• Forecasting the Cosmological Constraints with Anisotropic Baryon Acoustic Oscillations from Multipole Expansion
• Nonlinear Biasing and Redshift-Space Distortions in Lagrangian Resummation Theory and N-body Simulations
• Non-local halo bias with and without massive neutrinos
• Beyond consistency test of gravity with redshift-space distortions at quasi-linear scales
• Using galaxy-galaxy weak lensing measurements to correct the Finger-of-God
• Constraints on the neutrino parameters by future cosmological 21cm line and precise CMB polarization observations
• Validating a minimal galaxy bias method for cosmological parameter inference using HSC-SDSS mock catalogs
• Observational constraints on cosmic neutrinos and dark energy revisited
• Determination of neutrino mass hierarchy by 21 cm line and CMB B-mode polarization observations
• Describing massive neutrinos in cosmology as a collection of independent flows
• Perturbation Theory for BAO reconstructed fields: one-loop results in real-space matter density field
• Understanding the nature of luminous red galaxies (LRGs): Connecting LRGs to central and satellite subhalos
• Impacts of satellite galaxies on the redshift-space distortions
• Simulating cosmologies beyond $\Lambda$CDM with PINOCCHIO
• Tests of Neutrino and Dark Radiation Models from Galaxy and CMB surveys
• Cosmological Vlasov-Poisson Simulations of Structure Formation with Relic Neutrinos: Nonlinear Clustering and the Neutrino Mass
• Likelihood reconstruction method of real-space density and velocity power spectra from a redshift galaxy survey
• Perturbation theory for the redshift-space matter power spectra after reconstruction
• Perturbation theory for nonlinear halo power spectrum: the renormalized bias and halo bias
• On the importance of nonlinear couplings in large-scale neutrino streams
• Degeneracies in parametrized modified gravity models
• Forecasts on neutrino mass constraints from the redshift-space two-point correlation function
• Cosmological Perturbation Theory for streams of relativistic particles
• Neutrino masses from CMB B-mode polarization and cosmic growth rate