A Geometric Parametrization of the Cabibbo-Kobayashi-Maskawa Matrix and the Jarlskog Invariant

Details 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

2009-01-15

arxiv.org/abs/0901.2180v2

Int. J. Geom. Meth. Mod. Phys.6:1057-1067, 2009

Physics

Mathematical Physics

Latex ; 14 pages ; 2 figures ; minor changes

Scientific paper

10.1142/S0219887809004077

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 $SU(4)/U(1)^{3}$.

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