A new measure of σ8 using the lensing dispersion in high-z type Ia SNe
Abstract
The gravitational lensing magnification or demagnification due to large-scale structures induces a scatter in peak magnitudes of high redshift type Ia supernovae (SNe Ia). The amplitude of the lensing dispersion strongly depends on that of density fluctuations characterized by the σ8 parameter. Therefore the value of σ8 is constrained by measuring the dispersion in the peak magnitudes. We examine how well SN Ia data will provide a constraint on the value of σ8 using a likelihood analysis method. It is found that the number and quality of SN Ia data needed for placing a useful constraint on σ8 is attainable with Next Generation Space Telescope.
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