Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-12-21
Phys.Rev. D56 (1997) 2614-2631
Physics
High Energy Physics
High Energy Physics - Phenomenology
53 pages, LaTeX, includes 2 LaTeX figures
Scientific paper
10.1103/PhysRevD.56.2614
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 $SO(10)$ symmetry. Here the model is discussed in much greater detail. The threefold mass hierarchy as well as the relations $m_\tau^0 \simeq m_b^0, ~m_\mu^0 \simeq 3m_s^0,~ m_e^0 \simeq {1 \over 3} m_d^0, ~m_u^0/m_t^0 \ll m_d^0/m_b^0, ~{\rm tan}\theta_C \simeq \sqrt{m_d^0/m_s^0},~ V_{cb} \ll \sqrt{m_s^0/m_b^0}$ and $V_{ub} \sim V_{us}V_{cb}$ follow from a simple Yukawa structure at the unification scale. The model also gives definite predictions for $\tan \beta$, the neutrino mixing angles, and proton decay branching ratios. The $(\nu_\mu-\nu_\tau)$ mixing angle is typically large, tan$\beta$ 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.
Babu K. S.
Barr Sandra M.
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