2001arXiv (Cornell University)Open access

Possible Mixing Patterns of Charged Leptons and Neutrinos

Naoyuki Haba, Joe Sato, M. Tanimoto, Koichi Yoshioka

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Abstract

The search for possible mixing patterns of charged leptons and neutrinos is important to get clues of the origin of nearly maximal mixings, since there are some preferred bases of the lepton mass matrices given by underlying theories. In this paper, we systematically examine the mixing patterns which could lead to large lepton mixing angles. We find out the mixing patterns consistent with experimental data if taking into account phase factors in the mixing matrices. Only 6 patterns of them can explain the observed data without any tuning of parameters, while the others need particular choices for phase values. It is found that the first 6 patterns are certainly predicted by the models which have been proposed to account for the fermion mass hierarchy. On the other hand, the other patterns have not been studied and will give new possibilities of model-construction. 1

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What this paper is about

The search for possible mixing patterns of charged leptons and neutrinos is important to get clues of the origin of nearly maximal mixings, since there are some preferred bases of the lepton mass matrices given by underlying theories. In this paper, we systematically examine the mixing patterns which could lead to large lepton mixing angles. We find out the mixing patterns consistent with experimental data if taking into account phase factors in the mixing matrices. Only 6 patterns of them can explain the observed data without any tuning of parameters, while the others need particular choices for phase values. It is found that the first 6 patterns are certainly predicted by the models which have been proposed to account for the fermion mass hierarchy. On the other hand, the other patterns have not been studied and will give new possibilities of model-construction. 1

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Available abstract

The search for possible mixing patterns of charged leptons and neutrinos is important to get clues of the origin of nearly maximal mixings, since there are some preferred bases of the lepton mass matrices given by underlying theories. In this paper, we systematically examine the mixing patterns which could lead to large lepton mixing angles. We find out the mixing patterns consistent with experimental data if taking into account phase factors in the mixing matrices. Only 6 patterns of them can explain the observed data without any tuning of parameters, while the others need particular choices for phase values. It is found that the first 6 patterns are certainly predicted by the models which have been proposed to account for the fermion mass hierarchy. On the other hand, the other patterns have not been studied and will give new possibilities of model-construction. 1

Key concepts: Mixing (physics), Lepton, Mixing patterns, Neutrino, Particle physics, Physics, Flavor, Pontecorvo–Maki–Nakagawa–Sakata matrix

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