An Effective Model for Quark Masses and Mixings

By analogy with an effective model of charged-lepton mass matrix that, with the inputs of mexpτ and mexpμ, predicts (in a perturbative zero order) mτ=1776.80 MeV close to mτexp 1777.03+0.30-0.26 MeV, we construct such a model for quark mass matrices reproducing consistently the bulk of experimental information on quark masses and mixings. In particular, the model predicts abs(Vub)=0,0013, γ=-argVub=63,8o and abs(Vtd)=0,00785, β=-argVtd=20,7o (i.e., sin2β=0,661 to be compared with the BaBar value sin2βexp = 0.59±0,14), if the figures abs(Vusex)=0,0402 and msexp=123 MeV, mcexp=1,25 GeV, mbexp=4.2 GeV are used as inputs. Also the rest of CKM matrix elements is predicted consistently by the experimental data. Here, quark masses and CKM matrix elements (ten independent quantities) are parametrized by eight independent model constants, what gives two independent predictions, e.g. for abs(Vub) and β. The considered model deals with the fundamental-fermion Dirac mass matrices, so that the neutrino Majorana mass matrix is outside the scheme. Some foundations of the model are collected in Appendix. (author)