English

Dynamical realization of democratic Yukawa matrices and alignment of A-terms

High Energy Physics - Phenomenology 2009-11-11 v1

Abstract

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. (VMNS)232/6(V_{MNS})_{23} \sim 2/\sqrt{6}, ms/mbVcbmμ/mτm_s/m_b \sim V_{cb} \sim m_{\mu}/m_\tau and mc/mt(ms/mb)3/2m_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 μeγ\mu \to e \gamma are found to be satisfied by this dynamics. In order to suppress the electric dipole moments as well as μeγ\mu \to e \gamma sufficiently, more alignment of the A-terms with some reason is required.

Keywords

Cite

@article{arxiv.hep-ph/0605121,
  title  = {Dynamical realization of democratic Yukawa matrices and alignment of A-terms},
  author = {Tatsuo Kobayashi and Yuji Omura and Haruhiko Terao},
  journal= {arXiv preprint arXiv:hep-ph/0605121},
  year   = {2009}
}

Comments

25 pages, latex