Can Symmetric Texture Reproduce the Unitarity Triangle and mb/m ?
Masako Bando, Satoru Kaneko, Midori Obara, Morimitsu Tanimoto · Progress of Theoretical Physics · 2006
We study the SUSY SO(10) GUT with the symmetric two-zero textures of the quark/lepton mass matrix which realize the Georgi-Jarlskog relations in down-type quark and charged lepton masses. We show that the important constraints on such a framework come from the bottom-tau unification and the observed value of sin 2β, one of the angles in the CKM unitarity triangle. We investigate the symmetric two-zero textures assumed at the GUT scale by solving the MSSM renormalization group equations with right-handed neutrino threshold effects. Our results indicate that the value of tan is large and the representation of the Higgs field which couples to the third generation of left- and right-handed neutrinos is restricted by the bottom-tau unification condition. The textures with a vanishing 1-2 (and 2-1) element for up-type quarks and a vanishing 1-3 (and 3-1) element for down-type quarks are favored by the observed value of sin 2β.