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arXiv 0810.5443hep-phhep-ex
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太阳和KamLAND中微子数据对theta_{13}的贝叶斯约束

Bayesian Constraints on theta_{13} from Solar and KamLAND Neutrino Data

H. L. Ge, C. Giunti, Q. Y. Liu

备注：
21 pages. Final version published in Phys. Rev. D 80 (2009) 053009
发表信息：
Phys.Rev.D80:053009,2009
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摘要：

我们提出了太阳和KamLAND中微子数据的贝叶斯分析的结果在三中微子混合的框架。对于振荡参数Δ m^2_{21}，sin^2 theta_{12}，sin^2 theta_{13}的先验概率分布，我们采用了两种方法：1）传统的平坦无信息先验; 2）描述在大气和长基线加速器和反应堆中微子实验中获得的sin^2 theta_{13}的极限的信息先验。在这两种方法中，我们都给出了sin^2 theta_{13} - Delta m^2_{21}和sin^2 theta_{12} - sin^2 theta_{13}平面中的允许区域，以及sin^2 theta_{13}的边缘后验概率分布。通过对太阳中微子和KamLAND中微子数据的分析，我们证实了在hep-ph/0806.2649中发现的theta_{13} > 0的1.2 σ暗示。我们发现，由于来自大气和长基线加速器和反应堆中微子数据的sin ^2 theta_{13}的约束，该暗示的统计显著性降低到约0.8 σ，与arXiv：0808.2016一致。

英文摘要：

We present the results of a Bayesian analysis of solar and KamLAND neutrino data in the framework of three-neutrino mixing. We adopt two approaches for the prior probability distribution of the oscillation parameters Delta m^2_{21}, sin^2 theta_{12}, sin^2 theta_{13}: 1) a traditional flat uninformative prior; 2) an informative prior which describes the limits on sin^2 theta_{13} obtained in atmospheric and long-baseline accelerator and reactor neutrino experiments. In both approaches, we present the allowed regions in the sin^2 theta_{13} - Delta m^2_{21} and sin^2 theta_{12} - sin^2 theta_{13} planes, as well as the marginal posterior probability distribution of sin^2 theta_{13}. We confirm the 1.2 sigma hint of theta_{13} > 0 found in hep-ph/0806.2649 from the analysis of solar and KamLAND neutrino data. We found that the statistical significance of the hint is reduced to about 0.8 sigma by the constraints on sin^2 theta_{13} coming from atmospheric and long-baseline accelerator and reactor neutrino data, in agreement with arXiv:0808.2016.

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