Symmetric Mass Matrix with Two Zeros in SUSY SO(10) GUT, Lepton Flavor Violations and Leptogenesis

Abstract

We study the symmetric 2-zero texture of the neutrino mass matrix, which is obtained from the symmetric Dirac neutrino mass matrix with 2-zeros and right-handed Majorana neutrino mass matrix with the general form via the see-saw mechanism, for the SUSY SO(10) GUT model including the Pati-Salam symmetry. We show that the only one texture in our model, having degenerate mass spectrum for the 1st and 2nd generation of right-handed Majorana neutrino, can simultaneously explain the current neutrino experimental data, lepton flavor violating processes and baryon asymmetry of the Universe. Within such a framework, the predicted values of the light and heavy Majorana neutrino masses, together with $|U_{e3}|$, $J_{\mathrm{CP}}$ and $|<M_{ee}>|$, are almost uniquely determined.

Comments: 36 pages, latex, 17 figures. Preprint version contains "low resolution" figures to reduce the size of overall postscript file. Please contact authors to obtain the high resolution version. Some references added. Section 1 and subsection 2.1 are revised, conclusions are not changed, typos corrected