A Predictive SO(10) Scheme for Fermion Masses and Mixings

Abstract

We present a predictive scheme for fermion masses and mixings inspired by supersymmetric SO(10) in which the gauge hierarchy problem is resolved without fine tuning the parameters. There are six predictions in the flavor sector, all consistent with the present data. The scheme reproduces the familiar asymptotic relations $m_b=m_τ$ and $m_dm_sm_b=m_e m_μm_τ$. A new expression for $V_{cb}$ is obtained in terms of the quark masses. The remaining predictions involve the quark mixing angles $V_{us}$ and $V_{ub}$, as well as the parameter tan$β$ which turns out to be close to $m_t/m_b$.