论文标题
$μ$ - $τ$反射对称性，四零纹理和通用纹理之间的相互作用
Interplay between $μ$-$τ$ reflection symmetry, four-zero texture and universal texture
论文作者
论文摘要
在这封信中，我们考虑了夸克和叶子的精确$μ-τ$反射对称性。假定费用质量矩阵是带电费米子的四零纹理，$ f = u，d，e $和中微子$ν_{l} $的对称矩阵。通过双重最大转换，所有的质量矩阵都会导致$μ-τ$反射对称形式，从而单独满足$ t_ {u} \，m_ {u，n {u，v}^{*} {*} {*} \，t_ {u} = m_ {u} = m_ {u} t_ {d} = m_ {d，e} $。 $μ-τ$反射对称与观察到的$ \sinθ_{13} $之间的对帐预测$δ_{cp} \ simeq 203^{\ circ} $。此外，强加通用纹理$（m_ {f}）_ {11} = 0 $ for $ f = u，d，ν，e $预测具有最轻的中微子质量$ | m_ {1} |的正常层次结构= 6.26 $或$ 2.54 $ MEV。
In this letter, we consider exact $μ-τ$ reflection symmetries for quarks and leptons. Fermion mass matrices are assumed to be four-zero textures for charged fermions $f = u,d,e$ and a symmetric matrix for neutrinos $ν_{L}$. By a bi-maximal transformation, all the mass matrices lead to $μ-τ$ reflection symmetric forms, which seperately satisfy $T_{u} \, m_{u,ν}^{*} \, T_{u} = m_{u,ν}$ and $T_{d} \, m_{d,e}^{*} \, T_{d} = m_{d,e}$. Reconciliation between the $μ-τ$ reflection symmetries and observed $\sin θ_{13}$ predicts $δ_{CP} \simeq 203^{\circ}$. Moreover, imposition of universal texture $(m_{f})_{11} = 0$ for $f=u,d,ν,e$ predicts the normal hierarchy with the lightest neutrino mass $|m_{1}| = 6.26$ or $2.54$ meV.
