Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-05-11
Phys.Rev. D74 (2006) 053005
Physics
High Energy Physics
High Energy Physics - Phenomenology
25 pages, latex
Scientific paper
10.1103/PhysRevD.74.053005
We study realization of the democratic form of Yukawa matrices by infrared fixed points. We investigate renormalization-group flows of Yukawa couplings in models with a single Yukawa matrix for three families, and up and down-sector Yukawa matrices. It is found that each model has its certain pattern of renormalization-group flows of Yukawa matrices. We apply them to the charged lepton sector and quark sector, and show that realistic results for the second and third families are obtained with natural initial conditions, e.g. $(V_{MNS})_{23} \sim 2/\sqrt{6}$, $m_s/m_b \sim V_{cb} \sim m_{\mu}/m_\tau$ and $m_c/m_t \sim (m_s/m_b)^{3/2}$. We also study corresponding A-terms. The A-terms approach toward the universal form with no physical CP-violating phase. Thus, constraints due to various neutral flavor changing processes except for $\mu \to e \gamma$ are found to be satisfied by this dynamics. In order to suppress the electric dipole moments as well as $\mu \to e \gamma$ sufficiently, more alignment of the A-terms with some reason is required.
Kobayashi Tatsuo
Omura Yuji
Terao Haruhiko
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