A Full Determination of the Neutrino Mass Spectrum from Two-zero Textures of the Neutrino Mass Matrix

We show that it is possible to fully determine the neutrino mass spectrum from two-zero textures of the neutrino mass matrix. As a consequence, definite predictions can be obtained for the neutrinoless double beta decay. Electronic address: [email protected] Mailing address 1 In the flavor basis where the charged lepton mass matrix is diagonal, a phenomenological analysis of two-zero textures and Majorana CP-violating phases of the neutrino mass matrix has recently been carried out by the author [1]. Seven of such textures were found to be in accord with current experimental data on atmospheric [2], solar [3] and reactor [4] neutrino oscillations. A classification of two-zero textures of the neutrino mass matrix was originally done by Frampton, Glashow and Marfatia [5]. In two follow-up works, Frampton, Oh and Yoshioka [6] have proposed a model with three Higgs triplets to gain texture zeros of the neutrino mass matrix; and Kageyama, Kaneko, Shimoyama and Tanimoto [7] have incorporated those phenomenologically acceptable textures with the seesaw mechanism. As an addendum to Ref. [1], the present letter aims to show that it is actually possible to fully determine the neutrino mass spectrum from two-zero textures of the neutrino mass matrix. This important point was not observed in Ref. [1] and Refs. [5, 6, 7], where only the ratios of three neutrino masses were calculated. Given the neutrino mass spectrum, a definite prediction for the neutrinoless double beta decay can be made. Taking account of current experimental data, which remain rather rough, we illustrate the typical magnitudes of neutrino masses and that of the neutrinoless double beta decay for each of the seven two-zero textures of the neutrino mass matrix. The Majorana neutrino mass matrix can be written as M = V 