Mass Matrix Model Broken From A4 To 2 $\leftrightarrow$ 3 Symmetry
Abstract
2$\leftrightarrow$3 symmetry is realized by the breaking from alterating group of degree 4 ($A4$) symmetry. $A4$ explains why the generation number is three. However the mass matrices are realized in the form of the breaking to $2\leftrightarrow 3$ symmetry $\times Z_3$, which leads us to $2\leftrightarrow 3$ symmetric mass matrix with vanishing (1,1) component. Thus the $3\times 3$ mass matrix model with $2\leftrightarrow 3$ symmetry and vanishing (1,1) component has the group theoretical background as the symmetry in GUT model.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2008
- DOI:
- 10.48550/arXiv.0804.2107
- arXiv:
- arXiv:0804.2107
- Bibcode:
- 2008arXiv0804.2107F
- Keywords:
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- High Energy Physics - Phenomenology
- E-Print:
- 5 page, no figure