Predictions for the neutrino parameters in the minimal gauged U(1)$_{L_\mu-L_\tau}$ model

摘要: We study the structure of neutrino mass matrix in minimal gauged U(1)$_{L_\mu-L_\tau}$ model, where three right-handed neutrinos are added to Standard Model order obtain non-zero masses for active neutrinos. Because gauge symmetry, both Dirac and Majorana terms is tightly restricted. In particular, inverse has zeros $(\mu,\mu)$ $(\tau,\tau)$ components, namely, this model offers a symmetric realization so-called two-zero-minor matrix. Due these constraints, all CP phases-the phase $\delta$ phases $\alpha_2$ $\alpha_3$-as well as eigenvalues light $m_i$ uniquely determined functions mixing angles $\theta_{12}$, $\theta_{23}$, $\theta_{13}$, squared differences $\Delta m_{21}^2$ m_{31}^2$. find that predicts be $\delta\simeq 1.59\pi$-$1.70\pi$ ($1.54\pi$-$1.78\pi$), sum $\sum_{i}m_i \simeq 0.14$-0.22 eV ($0.12$-0.40 eV), effective neutrinoless double beta decay $\langle m_{\beta \beta }\rangle 0.024$-0.055 ($0.017$-0.12 eV) at $1\sigma$ ($2\sigma$) level, which totally consistent with current experimental limits. These predictions can soon tested future experiments. Implications leptogenesis also discussed.