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Prog. Theor. Phys. Vol. 117 No. 1 (2007) pp. 161-181

[ Full Text PDF : FREE ACCESS (276K) ]

Flavor Symmetry and Vacuum Aligned Mass Textures

Satoru Kaneko,1 Hideyuki Sawanaka,2 Takaya Shingai,2 Morimitsu Tanimoto3 and Koichi Yoshioka4

1AHEP Group, Institut de Física Corpuscular–C.S.I.C/Universitat de València,
Edifici Instituts d'Investigació, Apt. 22085, E-46071 València, Spain
2Graduate School of Science and Technology,
Niigata University, Niigata 950-2181, Japan
3Physics Department, Niigata University, Niigata 950-2181, Japan
4Physics Department, Kyushu University, Fukuoka 812-8581, Japan

(Received September 22, 2006)

Abstract:

The mass matrix forms of quarks and leptons are studied in a theory with permutation flavor symmetry. The structure of the scalar potential is analyzed in the case that the electroweak doublet Higgs fields have non-trivial flavor symmetry charges. We find that realistic forms of the mass matrices are obtained dynamically in the vacuum of the theory, where some of the Higgs fields have vanishing expectation values which lead to vanishing elements in the quark and lepton mass matrices. Mass textures are realized in the true vacuum, and their positions are controlled by the flavor symmetry. An interesting point is that, due to the flavor group structure, the up and down quark mass matrices are automatically different in the vacuum. This leads to non-vanishing generation mixing. It is also discussed that it is necessary for the flavor symmetry to be broken to realize scalars whose masses are not too small. The lower bounds of the Higgs masses are derived from the experimental data of flavor-changing rare processes, such as neutral K meson mixing.


URL : http://ptp.ipap.jp/link?PTP/117/161/
DOI : 10.1143/PTP.117.161

[ Full Text PDF : FREE ACCESS (276K) ] Citation:

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  4. Progress of Theoretical Physics Vol. 125 No. 1 (2011) pp. 129-148 :
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