Probing $f(R)$ cosmology with sterile neutrinos via measurements of scale-dependent growth rate of structure

Abstract

In this paper, we constrain the dimensionless Compton wavelength parameter $B_0$ of $f(R)$ gravity as well as the mass of sterile neutrino by using the cosmic microwave background observations, the baryon acoustic oscillation surveys, and the linear growth rate measurements. Since both the $f(R)$ model and the sterile neutrino generally predict scale-dependent growth rates, we utilize the growth rate data measured in different wavenumber bins with the theoretical growth rate approximatively scale-independent in each bin. The employed growth rate data come from the peculiar velocity measurements at $z=0$ in five wavenumber bins, and the redshift space distortions measurements at $z=0.25$ and $z=0.37$ in one wavenumber bin. By constraining the $f(R)$ model alone, we get a tight 95\% upper limit of ${\log }_{10}{B}_0<-4.1$. This result is slightly weakened to ${\log }_{10}{B}_0<-3.8$ (at 2$\sigma$ level) once we simultaneously constrain the $f(R)$ model and the sterile neutrino mass, due to the degeneracy between the parameters of the two. For the massive sterile neutrino parameters, we get the effective sterile neutrino mass $m_{\nu ,\mathrm{sterile}}^{\mathrm{eff}}<0.62$ eV (2$\sigma$) and the effective number of relativistic species $N_{\mathrm{eff}}<3.90$ (2$\sigma$) in the $f(R)$ model. As a comparison, we also obtain $m_{\nu ,\mathrm{sterile}}^{\mathrm{eff}}<0.56$ eV (2$\sigma$) and $N_{\mathrm{eff}}<3.92$ (2$\sigma$) in the standard $\Lambda$CDM model.

arXiv comment6 pages, 3 figures; revised version accepted for publication in Phys. Lett. B

References in corpus (58)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Planck 2013 results. XVI. Cosmological parameters
• The Cosmological Constant and Dark Energy
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Efficient Computation of CMB anisotropies in closed FRW models
• f(R) Theories Of Gravity
• Modified Gravity and Cosmology
• f(R) theories
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Dark Energy and the Accelerating Universe
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Evidence for Neutrino Oscillations from the Observation of Electron Anti-neutrinos in a Muon Anti-Neutrino Beam
• Observational Probes of Cosmic Acceleration
• Disappearing cosmological constant in f(R) gravity
• The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Dark Energy
• A measurement of the cosmological mass density from clustering in the 2dF Galaxy Redshift Survey
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• The Large Scale Structure of f(R) Gravity
• The 6dF Galaxy Survey: z \approx 0 measurement of the growth rate and sigma_8
• The WiggleZ Dark Energy Survey: the growth rate of cosmic structure since redshift z=0.9
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Planck 2013 results. XVII. Gravitational lensing by large-scale structure
• Interpreting large-scale redshift-space distortion measurements
• Distinguishing Modified Gravity from Dark Energy
• Evidence for massive neutrinos from CMB and lensing observations
• Curing singularities in cosmological evolution of F(R) gravity
• The 2dF Galaxy Redshift Survey: Spherical Harmonics analysis of fluctuations in the final catalogue
• $\nu \Lambda$CDM: Neutrinos help reconcile Planck with the Local Universe
• Testing gravity with CAMB and CosmoMC
• Exponential Gravity
• Testing Gravity Against Early Time Integrated Sachs-Wolfe Effect
• Astrophysical Tests of Modified Gravity: Constraints from Distance Indicators in the Nearby Universe
• Cosmological evolution in exponential gravity
• Redshift space distortions in f(R) gravity
• A new life for sterile neutrinos: resolving inconsistencies using hot dark matter
• The 6dF Galaxy Velocity Survey: Cosmological constraints from the velocity power spectrum
• Neutrinos help reconcile Planck measurements with both Early and Local Universe
• New constraints on parametrised modified gravity from correlations of the CMB with large scale structure
• Constraining models of $f(R)$ gravity with Planck and WiggleZ power spectrum data
• Sterile neutrinos help reconcile the observational results of primordial gravitational waves from Planck and BICEP2
• Astrophysical Tests of Modified Gravity: the Morphology and Kinematics of Dwarf Galaxies
• Cosmological constraints on neutrinos after BICEP2
• Constraints on f(R) theory and Galileons from the latest data of galaxy redshift surveys
• Parametrized modified gravity constraints after Planck
• Weighing Neutrinos in $f(R)$ gravity
• Matter Power Spectra in Viable $f(R)$ Gravity Models with Massive Neutrinos
• On the current status of Modified Gravity
• Measuring growth index in a universe with sterile neutrinos
• Tilt of primordial gravitational wave spectrum in a universe with sterile neutrinos
• Weighing neutrinos in $f(R)$ gravity in light of BICEP2

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• Constraints on neutrino mass in the scenario of vacuum energy interacting with cold dark matter after Planck 2018
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