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We present an analysis of the theoretical neutrino mixing matrix, VPMNSth, previously derived in the framework of the minimal S3-invariant extension of the Standard Model. All entries in the neutrino mixing matrix, VPMNSth, the mixing angles and the Majorana phases are given as exact, explicit analytical functions of the mass ratios of the charged leptons and neutrinos, and one Dirac phase, in excellent agreement with the the latest experimental data. Here, it will be shown that all entries in VPMNSth are numerically very close to the tri-bimaximal form of the neutrino mixing matrix, so that VPMNSth may be written as Vtri+ΔVPMNStri. The small correction ΔVPMNStri is expressed as a sum of two terms: first, a small correction term proportional to me/mμ depending only on the charged lepton mass ratios and, second, a Cabbibo-like, small term, δt12, which is a function of both the charged lepton and the neutrino mass ratios. [ABSTRACT FROM AUTHOR]

The mass matrices of the charged leptons and neutrinos, that had been derived in the framework of a Minimal S3-invariant Extension of the Standard Model, are here reparametrized in terms of their eigenvalues. The neutrino mixing matrix, VPMNS, is then computed and exact, explicit analytical expressions for the neutrino mixing angles as functions of the masses of the neutrinos and charged leptons are obtained. The reactor, θ13, and the atmosferic, θ23, mixing angles are found to be functions only of the masses of the charged leptons. The numerical values of θ13th and θ23th computed from our theoretical expressions are found to be in excellent agreement with the latest experimental determinations. The solar mixing angle, θ12th, is found to be a function of both, the charged lepton and neutrino masses, as well as of a Majorana phase [lowercase_phi_synonym]ν. A comparison of our theoretical expression for the solar angle θ12th with the latest experimental value θ13exp ≈ 34° allowed us to fix the scale and origin of the neutrino mass spectrum and obtain the mass values |mν2| = 0.0507eV, |mν1| = 0.0499eV and |mν3| = 0.0193eV, in very good agreement with the observations of neutrino oscillations, the bounds extracted from neutrinoless double beta decay and the precision cosmological measurements of the CMB. © 2007 American Institute of Physics [ABSTRACT FROM AUTHOR]