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Prog. Theor. Phys. Vol. 116 No. 6 (2006) pp. 1105-1115

Can Symmetric Texture Reproduce the Unitarity Triangle and m_b/m_τ?

Masako Bando,^1,* Satoru Kaneko,^2,** Midori Obara^3,*** and Morimitsu Tanimoto^4,****

¹Aichi University, Aichi 470-0296, Japan
²Department of Physics, Ochanomizu University, Tokyo 112-8610, Japan
³Institute of High Energy Physics, Chinese Academy of Sciences,
P.O. Box 918, Beijing 100049, China
⁴Department of Physics, Niigata University, Niigata, 950-2128, Japan

(Received August 14, 2006)

Abstract:

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 \tildeβ 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.

URL : http://ptp.ipap.jp/link?PTP/116/1105/
DOI : 10.1143/PTP.116.1105

^*E-mail: bando@aichi-u.ac.jp
^**E-mail: satoru@ific.uv.es
^***E-mail: bando@aichi-u.ac.jp
^****E-mail: tanimoto@muse.sc.niigata-u.ac.jp

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