论文标题
Majorana Neutminos的翻译$μ$ - $τ$反射对称性
The translational $μ$-$τ$ reflection symmetry of Majorana neutrinos
论文作者
论文摘要
The present neutrino oscillation data allow $m^{}_1 = 0$ (or $m^{}_3 = 0$) for the neutrino mass spectrum and support $θ^{}_{23} \simeq π/4$ and $δ\simeq -π/2$ as two good approximations for the PMNS lepton flavor mixing matrix $U$.我们表明，这些有趣的可能性可能是{\ it translational} $ $ - $ $ - $τ$反射对称性的非常自然的结果 - 有效的majorana neutrino质量术语在转换下保持不变性$ν^{} _ {e \ rm lm l} i} z^{c}_ν$，$ν^{} _ {μ\ rm l} \ to（ν^{} _ {} （ν^{} _ {μ\ rm l}）^c + u^*_ {μi} z^{c}_ν$（对于$ i = 1 $或$ 3 $），其中$ z^{c}_ν$是恒定旋转式$ z^{} $的condeconcation。将这种工作风味对称性扩展到超级能量尺度的规范seesaw机理，我们通过使用一环重新归一化组方程来计算其在Electroweak尺度上的软断裂效应。
The present neutrino oscillation data allow $m^{}_1 = 0$ (or $m^{}_3 = 0$) for the neutrino mass spectrum and support $θ^{}_{23} \simeq π/4$ and $δ\simeq -π/2$ as two good approximations for the PMNS lepton flavor mixing matrix $U$. We show that these intriguing possibilities can be a very natural consequence of the {\it translational} $μ$-$τ$ reflection symmetry -- the effective Majorana neutrino mass term keeps invariant under the transformations $ν^{}_{e \rm L} \to (ν^{}_{e \rm L})^c + U^*_{e i} z^{c}_ν$, $ν^{}_{μ\rm L} \to (ν^{}_{τ\rm L})^c + U^*_{τi} z^{c}_ν$ and $ν^{}_{τ\rm L} \to (ν^{}_{μ\rm L})^c + U^*_{μi} z^{c}_ν$ (for $i = 1$ or $3$), where $z^{c}_ν$ is the charge conjugation of a constant spinor field $z^{}_ν$. Extending such a working flavor symmetry to the canonical seesaw mechanism at a superhigh-energy scale, we calculate its soft breaking effects at the electroweak scale by using the one-loop renormalization-group equations.
