Neutrino mass matrix in Anti-GUT with see-saw mechanism

Abstract

We have investigated the predictions of neutrino oscillations within extended Anti-GUT, based on a large gauge group - the Standard Model and an B-L abelian group assumed with separate gauge fields coupling to each family of quarks and leptons. We take into account corrections concerning a crude way of accounting for the number of ways the vacuum expectation values of the Higgs fields of the model can be ordered in the Feynman diagrams yielding the mass matrix elements. Performing these corrections in a balanced way between the charged fermion sector and the neutrino sector (case I) leads to the previous version of our model that was a fit to the MSW small angle solution region. The fit considered here is marginally worse that the previous fit inasmuch as it predicts a somewhat lower solar neutrino mass square difference (which might though be the only way of avoiding the day-night exclusion region). The other two versions (case II and case III) are characterised by the heaviest of the see-saw neutrino matrix elements that are composed either of ν_{Rμ} and ν_{Rτ} or two ν_{Rτ}. These cases II and III fit the small mixing angle MSW scenario very well.