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

Masako Bando; Satoru Kaneko; Midori Obara; Morimitsu Tanimoto

doi:10.1143/ptp.116.1105

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

Masako Bando·Satoru Kaneko·Midori Obara·Morimitsu Tanimoto

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Abstract

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 $\sin2β$, 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 $\tan\tildeβ$ 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 $\sin2β$.

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Masako Bando, Satoru Kaneko, Midori Obara, Morimitsu Tanimoto. 2006-08-11. Can symmetric texture reproduce unitarity triangle and $m_b/m_τ$ ?. https://doi.org/10.1143/ptp.116.1105

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