从全球数据探测中微子质量和质量等级
Detecting the neutrino mass and mass hierarchy from global data
摘要：
利用{PDMATHAMO Planck} 2015 + BAO + SN + $H_{0}$数据集，结合中微子振荡和无中微子双β衰变数据，用代表不同质量序的中微子质量等级参数$Δ$约束了$Λ$ CDM宇宙学中的中微子质量和质量等级.我们发现在$95\%$置信水平下，最轻中微子的质量和中微子总质量分别不超过$0.035$ eV和$0.133$ eV.将我们的联合分析结果与单独使用宇宙学数据的结果进行比较，发现加入中微子振荡和无中微子双β衰变数据后，正态层次的倾向大大增强。通过重要性抽样，考虑了其他三个先验，即，中微子等级参数$Δ$的绝对值的平坦对数先验，中微子总质量$Σm_ν$的平坦线性先验，以及$Σm_ν$的平坦对数先验。我们发现，无论我们选择什么样的先验知识，对正常层次结构的偏好是一致的。最后，我们对四种先验进行了贝叶斯模型分析，发现$Σm_ν$上的平坦线性和平坦对数先验是最受欢迎的先验。
英文摘要：
In this paper, we have constrained the neutrino mass and mass hierarchy in the $Λ$CDM cosmology with the neutrino mass hierarchy parameter $Δ$, which represents different mass orderings, by using the {\it Planck} 2015 + BAO + SN + $H_{0}$ data set, together with the neutrino oscillation and neutrinoless double beta decay data. We find that the mass of the lightest neutrinos and the total neutrino mass are no more than $0.035$eV and $0.133$ eV at $95\%$ confidence level, respectively. Comparing the result of our joint analysis with that obtained using cosmological data alone, we find that, by adding the neutrino oscillation and neutrinoless double beta decay data, the tendency for normal hierarchy has increased a lot. By means of importance sampling, three other priors are taken into account, i.e., the flat logarithmic prior on the absolute value of the neutrino hierarchy parameter $Δ$, the flat linear prior on the total neutrino mass $Σm_ν$, and the flat logarithmic prior on $Σm_ν$. We find that the preference for the normal hierarchy is in agreement whatever what kinds of priors we choose. Finally, we make a Bayesian model analysis about four priors and we find that flat-linear and the flat logarithmic priors on $Σm_ν$ are the most favored priors.
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