Weighing Neutrinos in $f(R)$ gravity

Abstract

We constrain the neutrino properties in $f(R)$ gravity using the latest observations from cosmic microwave background(CMB) and baryon acoustic oscillation(BAO) measurements. We first constrain separately the total mass of neutrinos $\sum m_{\nu }$ and the effective number of neutrino species $N_{\mathrm{eff}}$. Then we constrain $N_{\mathrm{eff}}$ and $\sum m_{\nu }$ simultaneously. We find $\sum m_{\nu }<0.462\mathrm{eV}$ at a $95\%$ confidence level for the combination of Planck CMB data, WMAP CMB polarization data, BAO data and high-$l$ data from the Atacama Cosmology Telescope and the South Pole Telescope. We also find $N_{\mathrm{eff}}=3.32_{-0.51}^{+0.54}$ at a $95\%$ confidence level for the same data set. When constraining $N_{\mathrm{eff}}$ and $\sum m_{\nu }$ simultaneously, we find $N_{\mathrm{eff}}=3.58_{-0.69}^{+0.72}$ and $\sum m_{\nu }<0.860\mathrm{eV}$ at a $95\%$ confidence level, respectively.

12 pages, 12 figures, published version. The code is publicly available at http://darklight.brera.inaf.it/frcamb/

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• The observational status of Galileon gravity after Planck
• The promising future of a robust cosmological neutrino mass measurement
• Constraining chameleon models with cosmology
• Constraining models of $f(R)$ gravity with Planck and WiggleZ power spectrum data
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• Breaking degeneracies in modified gravity with higher (than 2nd) order weak-lensing statistics
• Weak Lensing Light-Cones in Modified Gravity simulations with and without Massive Neutrinos
• Distinguishing standard and modified gravity cosmologies with machine learning
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• Investigating the degeneracy between modified gravity and massive neutrinos with redshift-space distortions
• Cosmological constraints on Hořava gravity revised in light of GW170817 and GRB170817A and the degeneracy with massive neutrinos
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