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arXiv 1206.6583hep-ph
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从大亚湾$θ_{13}$的最新结果看中微子质量矩阵的最大CP破坏

Maximal CP-Violation in Neutrino Mass Matrix in light of the latest Daya Bay result on $θ_{13}$

Surender Verma

备注：
11 pages, 3 figures, references added
发表信息：
Phys. Lett. B 714, 92-96 (2012)
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摘要：

大亚湾合作组（An et al）最近宣布在$5.2σ$发现了非零反应堆角，$θ_{13}$，$\sin^{2}2θ_{13}$ =0.092 $\pm$ 0.016（stat）$\pm$ 0.005（syst），这与Abe et al、Adamson et al和Kerret et al去年的早期观测结果一致。这一发现对探索轻子区的CP破坏具有重要意义。在荷电轻子质量矩阵为对角矩阵的基础上，研究了Majorana中微子质量矩阵中的CP破坏，即强标度Ans $\ddot{a}$ tz（SSA）.这个Ans $\ddot{a}$ tz被认为可以解释$θ_{13}$的消失，并预测中微子质量的倒序结构。然而，要产生一个非零值的$θ_{13}$，与大亚湾的结果一致，我们必须偏离SSA。这种偏离将对轻子区的CP破坏产生重要影响，也是本工作中要解决的问题之一。CP最大程度地被破坏，因为对于大亚湾实验获得的$θ_{13}$的中心值，Dirac型相$|δ|\approx \fracπ{2}$，$\frac{3 π}{2}$对应于$|J_{CP}|\approx0.03$。我们还研究了Majorana型相$α$、$β$和有效中微子质量$M_{ee}$的重要意义。马约拉纳型相位$α$，$β$被发现是急剧约束。

英文摘要：

The Daya Bay Collaboration (An et al) has recently proclaimed discovery of non-zero reactor angle, $θ_{13}$, $\sin^{2}2θ_{13}$=0.092$\pm$0.016(stat)$\pm$0.005(syst), at $5.2σ$ which is in conformity with the earlier observations of Abe et al, Adamson et al and Kerret et al last year. The discovery has immense implication for exploring CP-violation in the leptonic sector. In the present work, we examine CP-violation in Majorana neutrino mass matrix, in the basis where charged lepton mass matrix is diagonal, in which the ratio of elements are equal, also, termed as Strong Scaling Ans$\ddot{a}$tz (SSA). This Ans$\ddot{a}$tz has been known to explain the vanishing of $θ_{13}$ and predict inverted hierarchy (IH) for the neutrino masses. However, to generate a non-zero value of $θ_{13}$ consistent with Daya Bay result one has to deviate from SSA. This deviation will have important implications for CP-violation in the leptonic sector and is one of the issues addressed in the present work. CP is maximally violated because, for central value of $θ_{13}$ obtained from Daya Bay experiment, Dirac-type phase $|δ|\approx \fracπ{2}$, $\frac{3 π}{2}$ which corresponds to $|J_{CP}|\approx0.03$. We have, also, studied imperative implications for Majorana-type phases $α$, $β$ and effective neutrino mass, $M_{ee}$. The Majorana-type phases $α$, $β$ are found to be sharply constrained.

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