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A GEOMETRIC PARAMETRIZATION OF THE CABIBBO–KOBAYASHI–MASKAWA MATRIX AND THE JARLSKOG INVARIANT

A GEOMETRIC PARAMETRIZATION OF THE CABIBBO–KOBAYASHI–MASKAWA MATRIX AND THE JARLSKOG INVARIANT

In this paper we give a geometric parametrization to the Cabibbo–Kobayashi–Maskawa (CKM) mixing matrix and the Jarlskog invariant, which is based on two flag manifolds SU(3)/U(1) 2 . To treat a fourth generation of quarks on CP violation we generalize the parametrization to one based on two flag manifolds SU(4)/U(1) …