Abstract
Flavor transitions via the charged current interactions are parametrized by a three dimensional and unitary transformation. This so called mixing matrix requires of four mixing parameters. Here we show that under the phenomenological observation of hierarchical fermion masses, m3≫ m2 ≫m1, a mixing parametrization can be built with its mixing parameters being the corresponding four independent mass ratios of each fermion sector, i.e., mu/mc, mc/mt, md/ms, and ms/mb and me/mM, mM/mT, mv1/mv2, and mv2/mv3, for the quark and lepton sector, respectively.
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