Title: First measurement of $σ_8$ using supernova magnitudes only Show Chinese title

Title: 仅使用超新星亮度的$σ_8$的首次测量

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 $\sigma_8 = 0.84^{+0.28}_{-0.65}$ 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. Show Chinese abstract

Abstract: 一种方法最近被提出，该方法允许将超新星哈勃图中的弱透镜效应从噪声转换为信号。 这种信号对宇宙结构的增长敏感，并且尤其可以作为对 $\sigma_8$ 的测量，这种方法独立于更传统的基于CMB、宇宙剪切或星团丰度的方法。 我们在这里扩展了这一分析，以考虑超新星PDF中的固有非高斯性，并讨论如何最好地使用贝叶斯因子对此进行建模。 尽管已经表明精确测量 $\sigma_8$ 需要大约 $10^5$ 颗超新星，但当前数据已经允许一个重要原则的证明。 特别是，我们利用近期JLA目录中红移z < 1的732颗超新星，并显示用几个讨厌参数简单处理固有非高斯性就足以使我们的方法在 $2\sigma$ 置信水平上得出 $\sigma_8 = 0.84^{+0.28}_{-0.65}$ 或 $\sigma_8 < 1.45$ 的值。 这一结果与模拟仿真一致，也与其他独立测量结果相符，并首次使用超新星亮度单独测量了 $\sigma_8$。