A new measure of ${\sigma }_8$ 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 ${\sigma }_8$ parameter. Therefore the value of ${\sigma }_8$ 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 ${\sigma }_8$ using a likelihood analysis method. It is found that the number and quality of SN Ia data needed for placing a useful constraint on ${\sigma }_8$ is attainable with Next Generation Space Telescope.

9 pages, 3 figures. Accepted for publication in The Astrophysical Journal

References in corpus (3)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• High Redshift Supernovae in the Hubble Deep Field
• Statistics of Weak Gravitational Lensing in Cold Dark Matter Models; Magnification Bias on Quasar Luminosity Functions

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• Diagnosing multiplicative error by lensing magnification of type Ia supernovae
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