论文标题
小$θ_{13} $和太阳中微子振荡参数来自$μ-τ$对称性
Small $θ_{13}$ and solar neutrino oscillation parameters from $μ-τ$ symmetry
论文作者
论文摘要
在有效的Majorana中微子质量矩阵中，交换$μ-τ$对称性确实预测了大气中微子振荡的最大混合，以与无反应堆中微子振荡混合（$θ_{13}} $无法直接识别为无效的混合，除非假定是$θ_{13} $，否则假设是质量质量的特定订购。否则，$θ_{13} $的非零值已预测到精确对称的级别。在这种情况下，太阳中微子混合和尺度以及正确的大气混合是由对称性的破坏引起的。我提出了一个正常层次结构的质量矩阵建议，该建议意识到这种情况，其中$ \tanθ_{13} $的小度自然由参数$ $ε\ sim \ sim \ sim \ sqrt {Δm^2_ {sol} {sol}/δm^2_ {atm}} $ syments $ sill symits $ sill symite n $ sill symite n $ sill sill sill sill。所提出的矩阵在重新归一化的效果下保持稳定，并且还允许在预期区域内考虑CP违规，而无需进一步限制。
Exchange $μ-τ$ symmetry in the effective Majorana neutrino mass matrix does predict a maximal mixing for atmospheric neutrino oscillations asides to a null mixing that cannot be straightforwardly identified with reactor neutrino oscillation mixing, $θ_{13}$, unless a specific ordering is assumed for the mass eigenstates. Otherwise, a non zero value for $θ_{13}$ is predicted already at the level of an exact symmetry. In this case, solar neutrino mixing and scale, as well as the correct atmospheric mixing, arise from the breaking of the symmetry. I present a mass matrix proposal for normal hierarchy that realizes this scenario, where the smallness of $\tanθ_{13}$ is naturally given by the parameter $ε\sim\sqrt{Δm^2_{sol}/Δm^2_{ATM}}$ and the solar mixing is linked to the smallness of $Δm^2_{sol}$. The proposed matrix remains stable under renormalization effects and it also allows to account for CP violation within the expected region without further constrains.
