Pattern of texture zeros in quark mass matrices with a divergent top-Yukawa coupling at the GUT scale

Abstract

In a SUSY GUT model responsible for generating symmetric quark mass matrices at the GUT scale (\ensuremath{\mu}=\ensuremath{\Lambda}), we assume that the top-Yukawa coupling, ${\ensuremath{\lambda}}_{t},$ becomes infinite at that scale. As a consequence, the MSSM renormalization group equations for quark Yukawa couplings exhibit hierarchical solutions which lead to a pattern of texture zeros in quark mass matrices at \ensuremath{\mu}=\ensuremath{\Lambda} similar to one of the solutions of Ramond, Roberts, and Ross. The evolution in energy scale to low energies shows excellent agreement between the measured quantities involving the scale-independent ratios of CKM matrix elements and their predicted values in terms of quark mass ratios. It is noted that the $t\overline{t}$ condensate model of Bardeen, Hill, and Lindner predicts an infinite ${\ensuremath{\lambda}}_{t}$ at \ensuremath{\mu}=\ensuremath{\Lambda} implying, for our model, that at \ensuremath{\mu}=\ensuremath{\Lambda} both the symmetry of Yukawa matrices and condensate dynamics may have a common origin.