2001/08/20 by Wojciech Krolikowski
Physics and Astronomy · #hep-ph
published as Acta Phys.Polon. B32 (2001) 2961-2980 · 22 pages
arxiv created 2001/08/20 · arxiv updated 2009/11/30
By analogy with an effective model of charged-lepton mass matrix that, with the inputs of mexpe and mexpμ, predicts (in a perturbative zero order) mτ= 1776.80 MeV close to mexpτ= 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 |Vu b| = 0.00313, γ= - arg Vu b = 63.8^∘ and |Vt d| = 0.00785, β= - arg Vt d = 20.7^∘ (i.e., sin 2β= 0.661 to be compared with the BaBar value sin 2βexp = 0.59 ± 0.14), if the figures |Vexpu s| = 0.2196, |Vexpc b| = 0.0402 and mexps = 123 MeV, mexpc = 1.25 GeV, mexpb = 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 |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.