Constraints on neutrino masses from the lensing dispersion of Type Ia supernovae

Abstract

We investigate how accurately the total mass of neutrinos is constrained from the magnitude dispersion of SNe Ia due to the effects of gravitational lensing. For this purpose, we use the propagation equation of light bundles in a realistic inhomogeneous universe and propose a sample selection for supernovae to avoid difficulties associated with small-scale effects such as strong lensing or shear effects. With a fitting formula for the nonlinear matter power spectrum taking account of the effects of massive neutrinos, we find that in our model it is possible to obtain the upper limit $\Sigma m_{\nu }\simeq 1.0[\mathrm{eV}]$ for future optical imaging surveys with the Wide-Field InfraRed Survey Telescope and Large Synoptic Survey Telescope. Furthermore, we discuss how far we need to observe SNe Ia and to what extent we have to reduce the magnitude error except for lensing in order to realize the current tightest limit $\Sigma m_{\nu }<0.2[\mathrm{eV}]$.

19 pages, 5 figures, accepted for publication in ApJ; minor changes to match published version

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• Forecasts of cosmological constraints from Type Ia supernovae including the weak-lensing convergence
• Constraining neutrino mass and dark energy with peculiar velocities and lensing dispersions of Type Ia supernovae
• Prospects for searching for sterile neutrinos with gravitational wave and $\gamma$-ray burst joint observations
• Weak lensing magnification of Type Ia Supernovae from the Pantheon sample
• Forecasting Cosmological Constraints from the Weak Lensing Magnification of Type Ia Supernovae Measured by the Nancy Grace Roman Space Telescope
• Effect of lensing magnification on type Ia supernova cosmology
• Standard candles and sirens rescue $H_0$
• Constraining the lensing dispersion from the angular clustering of binary black hole mergers