Pattern of fermion masses from high-scale evolution

Dynamical equations for fermion masses are derived using high scale universal mass generation and consequent mass evolution due to $SU(3), SU(2)$, and U(1$gauge interaction. Assuming mass generation at the GUT scale$M=10^{14}$GeV, one obtains hierarchy and a large spread in fermion masses with roughly correct values of$m_ν, m_τ, m_t, m_b$in the third generation. The smallness of neutrino mass,$ν_3\sim 10^{-12} m_{t}$, naturally arises in the solution.

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