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arXiv 0801.4565astro-ph
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使用3D弱透镜寻找大质量中微子的证据

Finding Evidence for Massive Neutrinos using 3D Weak Lensing

T. D. Kitching, A. F. Heavens, L. Verde, P. Serra, A. Melchiorri

摘要:

本文研究了三维宇宙剪切对大质量中微子参数的约束作用。我们发现如果总质量很大(接近LSS的上限,但暂时搁置Ly alpha限制),那么3D宇宙剪切+普朗克对中微子质量非常敏感,人们可以期望下一代测光红移测量可以将中微子的数量N_nu和它们的质量之和m_nu限制在dN_nu ~ 0.08和dm_nu ~ 0.08的精度上。0.03 eV。如果实际上质量接近于零,则误差减弱到dN_nu ~ 0.10和dm_nu~0.07 eV。在任何一种情况下,都比单独的普朗克有4倍的改进。我们使用贝叶斯证据方法来预测N_nu和m_nu的联合期望证据。我们发现,三维宇宙剪切结合普朗克先验可以提供大量中微子的“实质性”证据,并能够区分“决定性”之间的许多竞争的大量中微子模型。这种技术应该“果断地”区分没有大质量中微子的模型和有大质量中微子的模型,|N_nu-3|> 0.35和m_nu > 0.25 eV。我们介绍了边缘化和条件证据的概念时,考虑在一个多参数模型中的单个参数值的证据。

英文摘要:

In this paper we investigate the potential of 3D cosmic shear to constrain massive neutrino parameters. We find that if the total mass is substantial (near the upper limits from LSS, but setting aside the Ly alpha limit for now), then 3D cosmic shear + Planck is very sensitive to neutrino mass and one may expect that a next generation photometric redshift survey could constrain the number of neutrinos N_nu and the sum of their masses m_nu to an accuracy of dN_nu ~ 0.08 and dm_nu ~ 0.03 eV respectively. If in fact the masses are close to zero, then the errors weaken to dN_nu ~ 0.10 and dm_nu~0.07 eV. In either case there is a factor 4 improvement over Planck alone. We use a Bayesian evidence method to predict joint expected evidence for N_nu and m_nu. We find that 3D cosmic shear combined with a Planck prior could provide `substantial' evidence for massive neutrinos and be able to distinguish `decisively' between many competing massive neutrino models. This technique should `decisively' distinguish between models in which there are no massive neutrinos and models in which there are massive neutrinos with |N_nu-3| > 0.35 and m_nu > 0.25 eV. We introduce the notion of marginalised and conditional evidence when considering evidence for individual parameter values within a multi-parameter model.

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