Almost exact diagonal reflection symmetries and three-zero texture
Almost exact diagonal reflection symmetries and three-zero texture
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DOI：
10.1016/j.nuclphysb.2021.115549
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发表时间：
2021-03
影响因子：
2.8
通讯作者：
M. J. Yang
中科院分区：
文献类型：
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作者：
M. J. Yang
在本文中，我们考虑了SM中具有对角反射对称性的三零纹理。对于f= u，d，v，e，三零纹理比质量矩阵（M f）11=（M f）13，31= 0的泛四零纹理少了两个假设（（M u）11，（M v）11 <$0）。纹理允许对角反射对称几乎是精确的和d-e统一。它们以O（10− 4）和O（10− 3）的精度重现CKM和MNS矩阵。利用对角化的微扰近似，得到了两个精度很好的夸克质量和混合关系式。虽然这个计算是在一个特殊的基上进行的，但从某种意义上说，这是一个普遍的结果，因为通过某种弱基变换，其他织构和广义CP对称性也存在。通过假设一个d-e统一关系（M d <$M e），我们得到了最轻的中微子质量m 1 <$2.12 - 5.64 [meV]和双β衰变的有效质量|我，我，|1.23− 2.15 [meV]。
In this paper, we consider the three-zero texture with diagonal reflection symmetries in the SM. The three-zero texture has two less assumptions ((M u) 11,(M ν) 11≠ 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). By using perturbative approximations of the diagonalization, two relations with good accuracy for quark mass and mixing are obtained. 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∼ M e), we obtain the lightest neutrino mass m 1≃ 2.12− 5.64 [meV] and the effective mass of the double beta decay| m e e|≃ 1.23− 2.15 [meV].