First measurement of ${\sigma }_8$ using supernova magnitudes only

Abstract

A method was recently proposed which allows the conversion of the weak-lensing effects in the supernova Hubble diagram from noise into signal. Such signal is sensitive to the growth of structure in the universe, and in particular can be used as a measurement of ${\sigma }_8$ which is independent from more traditional methods such as those based on the CMB, cosmic shear or cluster abundance. We extend here that analysis to allow for intrinsic non-Gaussianities in the supernova PDF, and discuss how this can be best modelled using the Bayes Factor. Although it was shown that a precise measurement of ${\sigma }_8$ requires ~$10^5$ supernovae, current data already allows an important proof of principle. In particular we make use of the 732 supernovae with z < 1 of the recent JLA catalog and show that a simple treatment of intrinsic non-Gaussianities with a couple of nuisance parameters is enough for our method to yield the values ${\sigma }_8=0.84_{-0.65}^{+0.28}$ or ${\sigma }_8<1.45$ at a $2\sigma$ confidence level. This result is consistent with mock simulations and it is also in agreement with independent measurements and presents the first ever measurement of ${\sigma }_8$ using supernova magnitudes alone.

6 pages, 3 figures, 2 tables. Revision to the introduction and references added. Matches version to appear in MNRAS Letters

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