UNIFIED EXPLANATION OF THE SOLAR AND ATMOSPHERIC NEUTRINO PUZZLES IN A SUPERSYMMETRIC SO(10) MODEL - ART. NO. 015001

It was recently suggested that in a class of supersymmetric SO(10) mod els with Higgs multiplets in 10, and a single 126+(126) over bar repre sentation, if the (126) over bar contributes both to-the right handed neutrino masses as well as to the charged fermion masses, one can have a complete prediction of the neutrino masses and mixings. It turns ou t that if one chooses only one 10, there are no regions in the paramet er space where one can have a large nu(mu-) nu(tau) mixing angle neces sary to solve the atmospheric neutrino deficit while at the same time solving the solar neutrino puzzle via the nu(e)<->nu(mu) oscillation. We show that this problem can be solved in a particular class of SO(10 ) models with a pair of 10 multiplets if we include the additional lef t-handed triplet contribution to the light neutrino mass matrix. This model cannot reproduce the mass and mixing parameters required to expl ain the Liquid Scintillation Neutrino Detector observations nor does i t have neutrino hot dark matter. [S0556-2821(98)01713-5].