论文标题
确定中微子振荡背后的Seesaw机制的最小风味对称性
Identifying a minimal flavor symmetry of the seesaw mechanism behind neutrino oscillations
论文作者
论文摘要
在规范的Seesaw框架框架框架中，在弱充电和重型Majorana中微子相互作用中，中微子的相互作用彼此相关，并以$ 3 \ times 3 $ 3 $矩阵$ u $和$ r $相关。我们表明，$ \ big | u^{} _ {μi} \ big |的可能性很可能= \ big | u^{} _ {τi} \ big | $（对于$ i = 1、2、3 $），这是由当前的中微子振荡数据强烈指示的，自动导致一个新颖的预测$ \ big | r^{} _ {} _ {μi} _ {μi} \ big | = \ big | r^{} _ {τi} \ big | $（对于$ i = 1，2，3 $）。我们证明，这两组平等和违规的实验证据的背后是一种最小的风味对称性 - 当左手中微子的中微子领域变化为$ν^{} _ {e \ rm l} \ to（e（e） $ν^{} _ {μ\ rm l} \ to（ν^{} _ {}转型。这种广义的$ $ $ - $τ$反射对称性可能有助于在Seesaw机构中在某种程度上限制活性和无菌中微子的风味。
In the canonical seesaw framework flavor mixing and CP violation in weak charged-current interactions of light and heavy Majorana neutrinos are correlated with each other and described respectively by the $3\times 3$ matrices $U$ and $R$. We show that the very possibility of $\big|U^{}_{μi}\big| = \big|U^{}_{τi}\big|$ (for $i = 1, 2, 3$), which is strongly indicated by current neutrino oscillation data, automatically leads to a novel prediction $\big|R^{}_{μi}\big| = \big|R^{}_{τi}\big|$ (for $i = 1, 2, 3$). We prove that behind these two sets of equalities and the experimental evidence for leptonic CP violation lies a minimal flavor symmetry -- the overall neutrino mass term keeps invariant when the left-handed neutrino fields transform as $ν^{}_{e \rm L} \to (ν^{}_{e \rm L})^c$, $ν^{}_{μ\rm L} \to (ν^{}_{τ\rm L})^c$, $ν^{}_{τ\rm L} \to (ν^{}_{μ\rm L})^c$ and the right-handed neutrino fields undergo an arbitrary unitary CP transformation. Such a generalized $μ$-$τ$ reflection symmetry may help constrain the flavor textures of active and sterile neutrinos to some extent in the seesaw mechanism.
