Calculation of the Masses and the Running Masses of the Quarks and Leptons from Electroweak to Supersymmetric Grand Unification Mass

Abstract

We make a systematic theoretical analysis of the masses and their variation with energy by solving the renormalization group equation (RGE) in the Minimal Supersymmetric Standard Model (MSSM). The unification fermion masses of around 115 GeV at GeV scale has been derived by Deo and Maharana. Here we undertake the unfinished but the important task of calculating the masses and their running. The unification mass and group theoretic constants for the model are known. The top mass and its descent is studied very carefully. We find that the Ramond,Roberts and Ross value of the Wolfenstein parameter is nearly equal to 0.22. When raised to integral powers, the whole mass spectra of the remaining eleven fermions are obtained. We deduce formulas and plot them for all the 12 fermions as they vary from $t=log \frac{\mu}{M_z}=0$ to $t_X=33$; the GUT mass being $M_X=2.2\times 10^{16}$ GeV.