Realistic Quark and Lepton Masses through SO(10) Symmetry

K. S. Babu; S. M. Barr

doi:10.1103/PhysRevD.56.2614

paper

Realistic Quark and Lepton Masses through SO(10) Symmetry

arXiv:hep-ph/9512389 · doi:10.1103/PhysRevD.56.2614

Abstract

In a recent paper a model of quark and lepton masses was proposed. Without any family symmetries almost all the qualitative and quantitative features of the quark and lepton masses and Kobayashi-Maskawa mixing angles are explained, primarily as consequences of various aspects of $S O (10)$ symmetry. Here the model is discussed in much greater detail. The threefold mass hierarchy as well as the relations $m_{τ}^{0} ≃ m_{b}^{0}, m_{μ}^{0} ≃ 3 m_{s}^{0}, m_{e}^{0} ≃ \frac{1}{3} m_{d}^{0}, m_{u}^{0} / m_{t}^{0} ≪ m_{d}^{0} / m_{b}^{0}, tan θ_{C} ≃ m_{d}^{0} / m_{s}^{0}, V_{c b} ≪ m_{s}^{0} / m_{b}^{0}$ and $V_{u b} \sim V_{u s} V_{c b}$ follow from a simple Yukawa structure at the unification scale. The model also gives definite predictions for $tan β$ , the neutrino mixing angles, and proton decay branching ratios. The $(ν_{μ} - ν_{τ})$ mixing angle is typically large, tan $β$ is close to either $m_{t}^{0} / m_{b}^{0}$ or $m_{c}^{0} / m_{s}^{0}$ , and proton decay is in the observable range, but there is a group theoretical suppression factor in the rate.

53 pages, LaTeX, includes 2 LaTeX figures

Realistic Quark and Lepton Masses through SO(10) Symmetry

Abstract

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