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arXiv 2103.12289hep-ph
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几乎正合对角反射对称性与三零纹理

Almost exact diagonal reflection symmetries and three-zero texture

Masaki J. S. Yang

摘要:

在本文中,我们考虑了一个三零纹理与对角反射对称的SM。对于$f = u,d,ν, e$,三零纹理比质量矩阵$(M_{f})_{11} = (M_{f})_{13,31} = 0$的通用四零纹理少两个假设($(M_{u})_{11} , (M_ν)_{11} \neq 0$)。纹理允许对角反射对称性几乎是精确的,并且允许$d$ \,-\,$e$统一。它们以$O(10^{-4})$和$O(10^{-3})$的精度再现CKM和MNS矩阵。一些微扰对角化产生了两个关于夸克质量和混合的关系式,具有很好的精度。虽然这个计算是在一个特殊的基上进行的,但从某种意义上说,它是一个普遍的结果,因为其他纹理和广义$CP$对称性通过某种弱基变换而存在。通过假设$d$ \,-\,$e$统一关系($M_{d} \sim M_{e}$),我们得到了最轻中微子质量$m_{1} \simeq 2.12\, - \, 5.64\,$ [meV]和双β衰变的有效质量$|m_{ee}| \simeq 1.23 - 2.15 \,$ [meV].

英文摘要:

In this paper, we consider a three-zero texture with diagonal reflection symmetries in the SM. The three-zero texture has two less assumptions ($(M_{u})_{11} , (M_ν)_{11} \neq 0$) than the universal four-zero texture of mass matrices $(M_{f})_{11} = (M_{f})_{13,31} = 0$ for $f = u,d,ν, e$. The texture allows diagonal reflection symmetries to be almost exact and $d$\,-\,$e$ unification. They reproduce the CKM and MNS matrices with accuracies of $O(10^{-4})$ and $O(10^{-3})$. Some perturbative diagonalizations yield two relations with good accuracy for quark mass and mixing. Although this calculation is done in a special basis, it is a general result in a sense, because other textures and generalized $CP$ symmetries exist by some weak basis transformation. By assuming a $d$\,-\,$e$ unified relation ($M_{d} \sim M_{e}$), we obtain the lightest neutrino mass $m_{1} \simeq 2.12\, - \, 5.64\,$[meV] and the effective mass of the double beta decay $|m_{ee}| \simeq 1.23 - 2.15 \,$[meV].

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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