Can symmetric texture reproduce unitarity triangle and $m_b/m_τ$ ?

Details Can symmetric texture reproduce unitarity triangle and $m_b/m_τ$ ? Can symmetric texture reproduce unitarity triangle and $m_b/m_τ$ ?

2006-08-11

arxiv.org/abs/hep-ph/0608128v1

Prog.Theor.Phys.116:1105-1115,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 5 figures

Scientific paper

10.1143/PTP.116.1105

We study the SUSY SO(10) GUT with the symmetric two-zero textures of quark/lepton mass matrix which realize the Georgei-Jarlskog relations in down-type quark and charged lepton masses. We show that the important constraints to such framework come from the bottom-tau unification and the observed value of $\sin2\beta$, 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. As a result, the value of $\tan\tilde{\beta}$ is constrained to be large enough and the representation of 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 vanishing 1-2 (and 2-1) element for up-type quarks and vanishing 1-3 (and 3-1) element for down-type quarks are favored by the observation of $\sin2\beta$.

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