Re-examination of two zero texture of neutrino mass matrix after neutrino- 2012

We re-study the seven neutrino mass matrices with two independent vanishing entries under the latest results of neutrino oscillation experiments after the neutrino - 2012 conference. It is shown that the pattern B1 could be excluded since this pattern realizes very small value of mixing angle θ13. The remain six textures satisfy the current experimental data. We also find that all seven textures of neutrino mass matrix possess the normal hierarchy of neutrino mass spectrum. | Communications in Physics, Vol. 23, No. 3 (2013), pp. 211-218 RE-EXAMINATION OF TWO ZERO TEXTURE OF NEUTRINO MASS MATRIX AFTER NEUTRINO-2012 NGUYEN THANH PHONG Department of Physics, Can Tho University, Can Tho city, Can Tho, Vietnam Email: thanhphong@ Received 14 August 2013; Accepted for publication 28 August 2013 Abstract. We re-study the seven neutrino mass matrices with two independent vanishing entries under the latest results of neutrino oscillation experiments after the neutrino - 2012 conference. It is shown that the pattern B1 could be excluded since this pattern realizes very small value of mixing angle θ13 . The remain six textures satisfy the current experimental data. We also find that all seven textures of neutrino mass matrix possess the normal hierarchy of neutrino mass spectrum. I. INTRODUCTION The evidences of the oscillations of neutrino has been dramatically confirmed by a numerous neutrino experiments from different sources: solar, atmospheric, reactor and accelerator neutrino after Super-Kamiokande [1–3]. Based on the neutrino experimental results, Frampton et al. [4] found seven acceptable patterns of the neutrino mass matrix with two independent vanishing components in the basis where the charged lepton mass matrix is diagonal. Subsequently, these patterns have been considerably studied by many authors, see for examples [5–7] and references therein, and recently in [8,9]. Besides, since Frampton’s seven patterns was not explained by any mechanism, therefore Kageyama et al. [7] proposed the seesaw mechanism to generate these textures of neutrino mass matrix. After the neutrino - 2012 conference [10], based on the recent results of T2K [11], MINOS [12], RENO [13], Double CHOOZ [14] and Daya Bay [15] experiments, the newest values of lepton mixing angles are established where the reactor mixing angle θ13 is rather large. It motivates for model builders to find best neutrino mass model that well described the latest neutrino .

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