Is the Cabibbo Angle a Function of the Weinberg Mixing Parameter?

ISSN： 0020-7748

Source： International Journal of Theoretical Physics, Vol.39, Iss.6, 2000-06, pp. : 1619-1628

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Abstract

The (u, c) quarks and (d, s) quarks are required to have mass matrices of a certain form. To achieve these mass matrices appropriate Lagrangians are assumed. The u quark is coupled to the standard Higgs scalar &phis;_L. The c quark has a γ_5 coupling with &phis;_L and &phis;_R, where &phis;_R is the Higgs scalar corresponding to the left-right model. The u quark has no γ_5 coupling. Both u, c quarks have a Yukawa coupling with a Higgs multiplet. Exactly similar Lagrangians are chosen for the d, s qurks. Using these mass matrices, the Cabibbo angle is found to be 13° 11′. The ratio m_c/m_s is shown to be approximately 3.1 with the help of the Weinberg mixing parameter. The mixing angles &thetas;_2 and &thetas;_1 determine the Cabibbo angle. The ratio tan &thetas;_2/ tan &thetas;_1 is shown to be a function of the Weinberg mixing parameter.