English

Universal Bilinear Form of Quark and Lepton Mass Matrices

High Energy Physics - Phenomenology 2015-06-10 v2

Abstract

In the so-called ``yukawaon" model, the (effective) Yukawa coupling constants YfeffY_f^{eff} are given by vacuum expectation values (VEVs) of scalars YfY_f (yukawaons) with 3×33\times 3 components. In the present model, all of the VEV matrices Yf\langle Y_f \rangle are given by a bilinear form of VEVs of flavons Φf\Phi_f, Yfi j=kfΦfikΦˉfkj\langle Y_f \rangle_i^{\ j} = k_f \langle \Phi_f\rangle_{ik} \langle \bar{\Phi}_f\rangle^{kj}, where Φf\Phi_f is assigned to 6{\bf 6} of U(3) family symmetry. As input parameters with family-number dependent values, we use only charged lepton mass values. Under this formulation, we can give reasonable values of quark and lepton masses and their mixings. A CPCP violating phase δCP=26\delta_{CP}^\ell=26^\circ in the lepton sector is predicted. The effective Majorana neutrino mass is also predicted.

Keywords

Cite

@article{arxiv.1405.0069,
  title  = {Universal Bilinear Form of Quark and Lepton Mass Matrices},
  author = {Yoshio Koide and Hiroyuki Nishiura},
  journal= {arXiv preprint arXiv:1405.0069},
  year   = {2015}
}

Comments

17 pages, 2 figures, Accepted for publication in PRD