"An SO(10) Solution to the Puzzle of Quark and Lepton Masses"

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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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.

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