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arXiv 1106.5202hep-ph
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无可调参数的中微子质量矩阵

Neutrino Mass Matrix with No Adjustable Parameters

Yoshio Koide, Hiroyuki Nishiura

摘要:

在“yukawaon”模型的基础上,我们找到了中微子质量矩阵$M_ν$的一种特殊形式,并给出了合理的预言。$M_ν$由带电轻子质量矩阵$M_e$和上夸克质量矩阵$M_u$的乘积形式给出。除$M_e$和$M_u$中的参数外,该$M_ν$没有可调参数。这里,$M_e$和$M_u$分别由一个参数$a_e$(实数)和两个参数$a_u$(复数)描述,并且这些参数由它们的观测质量比约束。对于这种形式的$M_ν$,尽管只有三个参数,但通过使用$m_e/m_μ$、$m_μ/m_τ$、$m_c/m_t$和$\sin^2 θ_{solar}$的观测值作为输入值,$M_ν$可以给出合理的预测$\sin^2 2θ_{atm} \simeq 0.99$、$\sin^2 2θ_{13} \simeq 0.015$、$Δm^2_{21}/Δm^2_{32} \simeq 0.030$、$< m_{ee}> \simeq 0.0039$ eV等。

英文摘要:

On the basis of the so-called "yukawaon" model, we found out a special form of the neutrino mass matrix $M_ν$ which gives reasonable predictions. The $M_ν$ is given by a multiplication form made of charged lepton mass matrix $M_e$ and up-quark mass matrix $M_u$. This $M_ν$ has no adjustable parameters except for those in $M_e$ and $M_u$. Here, $M_e$ and $M_u$ are described by one parameter $a_e$ (real) and two parameters $a_u$ (complex), respectively, and those parameters are constrained by their observed mass ratios. With this form of $M_ν$, in spite of having only three parameters, the $M_ν$ can give reasonable predictions $\sin^2 2θ_{atm} \simeq 0.99$, $\sin^2 2θ_{13} \simeq 0.015$, $Δm^2_{21}/Δm^2_{32} \simeq 0.030$, $< m_{ee}> \simeq 0.0039$ eV, and so on, by using observed values of $m_e/m_μ$, $m_μ/m_τ$, $m_c/m_t$, and $\sin^2 θ_{solar}$ as input values.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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