Raidal Martti
National Institute of Chemical Physics and Biophysics, Ravala 10, Tallinn 10143, Estonia.
Phys Rev Lett. 2004 Oct 15;93(16):161801. doi: 10.1103/PhysRevLett.93.161801.
We argue that there exists a simple relation between the quark and lepton mixings, which supports the idea of grand unification and probes the underlying robust bimaximal fermion mixing structure of still unknown flavor physics. In this framework the quark mixing matrix is a parameter matrix describing the deviation of neutrino mixing from exactly bimaximal, predicting theta(sol)+theta(C)=pi/4, where theta(C) is the Cabibbo angle, theta(atm)+theta(CKM)(23)=pi/4 and theta(MNS)(13) approximately theta(CKM)(13) approximately O(lambda(3)), in perfect agreement with experimental data. Both non-Abelian and Abelian flavor symmetries are needed for such a prediction to be realistic. An example flavor model capable of explaining this flavor mixing pattern and inducing the measured quark and lepton masses is outlined.
我们认为，夸克和轻子混合之间存在一种简单的关系，这支持了大统一的观点，并探究了仍未知的味物理的潜在稳健双大质量费米子混合结构。在这个框架中，夸克混合矩阵是一个参数矩阵，描述了中微子混合与精确双大质量混合的偏差，预测θ(sol)+θ(C)=π/4，其中θ(C)是卡比博角，θ(atm)+θ(CKM)(23)=π/4且θ(MNS)(13)≈θ(CKM)(13)≈O(λ(3))，与实验数据完全一致。为使这样的预测现实可行，非阿贝尔和阿贝尔味对称性都是必需的。概述了一个能够解释这种味混合模式并产生测量到的夸克和轻子质量的味模型示例。
