中微子几何混合模型与轻子和重子数产生(英文)

Model of Geometric Neutrino Mixing and Leptogenesis

在这一报告中将报告我和BABU教授合作的在hep-ph/0507217一文中有关中微子混合研究结果．目前中微子实验数据所决定的混合角可归结为几何混合状况：sin^2θ_(12)=1/3,sin^2θ_(23)=1/2,和sin^2θ_(13)=0．我们在这一工作中建立了能实现这一几何混合的可重整化模型．模型以非阿贝尔非连续群A_4为描述中微子不同代混合的对称性．这类模型对中微子质量有很强的限制．而且能很自然地由轻子数破坏产生重子不对称的实验观测值．很有趣的是这类模型中出现在轻子不守恒和无中微子双beta衰变中的相位是一样的．

I report results obtained recently in collaboration with on neutrino mixing （hep-ph/0507217）. Current neutrino oscillation data are consistent with the neutrino mixing angles taking values sin^2 θ12 = 1/3, sin^2 θ23 = 1/2, and sin^2 θ13 = 0. We present a class of renormalizable gauge models which realize such a geometric mixing pattern naturally. These models, which are based on the non-Abelian discrete symmetry A4, place significant restrictions on the neutrino mass spectrum. It is shown that baryogenesis via leptogenesis occurs quite naturally, with a single phase （determined from neutrino oscillation data） appearing in leptonic asymmetry and in neutrinoless double beta decay.