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The mass matrices of the charged leptons and neutrinos, that had been derivedin the framework of a Minimal S_3-invariant Extension of the Standard Model,are here reparametrized in terms of their eigenvalues. The neutrino mixingmatrix, V_PMNS, is then computed and exact, explicit analytical expressions forthe neutrino mixing angles as functions of the masses of the neutrinos andcharged leptons are obtained. The reactor, theta_13, and the atmosferic,theta_23, mixing angles are found to be functions only of the masses of thecharged leptons. The numerical values of theta_13{th} and theta_23{th} computedfrom our theoretical expressions are found to be in excellent agreement withthe latest experimental determinations. The solar mixing angle, theta_12{th},is found to be a function of both, the charged lepton and neutrino masses, aswell as of a Majorana phase phi_nu. A comparison of our theoretical expressionfor the solar angle theta_12{th} with the latest experimental valuetheta_12{exp} ~ 34 deg allowed us to fix the scale and origin of the neutrinomass spectrum and obtain the mass values |m_nu1|=0.0507 eV, |m_nu2|=0.0499 eVand |m_nu3|=0.0193 eV, in very good agreement with the observations of neutrinooscillations, the bounds extracted from neutrinoless double beta decay and theprecision cosmological measurements of the CMB.Comment: To appear in the Proceedings of the XXIX Symposium on Nuclear  Physics, Cocoyoc, Mex., January 2006. Some typographical errors on formulae  correcte

Neutrino masses and mixings in a Minimal S3-invariant Extension of the Standard Model