Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-03-02
Phys.Rev.Lett.75:2088-2091,1995
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, in Plain LaTeX (includes 2 LaTeX figures)
Scientific paper
10.1103/PhysRevLett.75.2088
It is shown that almost all features of the quark and lepton masses can be satisfactorily and simply explained without family symmetry, including the threefold mass hierarchy among the generations, and the relations $m_{\tau}^0 = m_b^0$, $m_{\mu}^0 = 3 m_s^0$, $m_e^0 = \frac{1}{3} m_d^0$, $m_u^0/m_t^0 << m_d^0/m_b^0$, $\tan \theta_c = \sqrt{m_d^0/m_s^0}$, $V_{cb} << \sqrt{m_s^0/m_b^0}$, and $V_{ub} \sim V_{cb}V_{us}$. Various aspects of the group theory of $SO(10)$ play an essential role in explaining these relations. The form of the mass matrices, rather than being imposed arbitrarily, emerges naturally from a simple structure at the unification scale. This structure involves only vector, spinor and adjoint representations. There are distinctive and testable predictions for $\tan \beta$ and the neutrino mixing angles.
Babu K. S.
Barr Sandra M.
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