We investigate symmetries in Dirac and Majorana mass matrices of neutrinos in a three-generation scenario. We show that if we invoke L_e + L_μ ― L_τ x S_(2R) symmetry, one combination of right-handed neutrino states remains massless which can be interpreted as a sterile neutrino. Next we consider a SU(2)_L x U(1)_Y x U(1)_R gauge model and show how higher-dimensional operators can induce mixing between left- and right-handed states which explains solar, atmospheric and LSND experimental results.
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机译:我们研究了三代场景中中微子的狄拉克和马约拉纳质量矩阵的对称性。我们表明,如果我们调用L_e +L_μ-L_τx S_(2R)对称性,则右手中微子状态的一种组合仍然是无质量的,这可以解释为无菌中微子。接下来,我们考虑一个SU(2)_L x U(1)_Y x U(1)_R量规模型,并显示高维算子如何诱导左手和右手状态之间的混合,这解释了太阳,大气和LSND实验结果。
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