Scale dependence of quark mass matrices in models with flavor symmetries

Details Scale dependence of quark mass matrices in models with flavor symmetries Scale dependence of quark mass matrices in models with flavor symmetries

1996-04-11

arxiv.org/abs/hep-ph/9604287v1

Phys.Rev. D54 (1996) 6903-6908

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 14 pages, 4 figures, 3 tables. Uses epsf.sty. PostScript available at http://deneb.ugr.es/papers/ugft60.ps.gz Plain LaT

Scientific paper

10.1103/PhysRevD.54.6903

Numerical correlations between fermion masses and mixings could indicate the presence of a flavor symmetry at high energies. In general, the search for these correlations using low-energy data requires an estimate of leading-log radiative corrections. We present a complete analysis of the evolution between the electroweak and the grand unification scales of quark mass parameters in minimal supersymmetric models. We take $M_t=180$ GeV and consider all possible values of $\tan \beta$. We also analize the possibility that the {\it top} and/or the {\it bottom} Yukawa couplings result from an intermediate quasifixed point (QFP) of the equations. We show that the quark mixings of the third family do {\it not} have a QFP behaviour (in contrast to the masses, the renormalization of all the mixings is linear), and we evaluate the low-energy value of $V_{ub}$ which corresponds to $V_{ub}(M_X)=0$. Then we focus on the renormalization-group corrections to {\it (i)} typical relations obtained in models with flavor symmetries at the unification scale and {\it (ii)} a superstring-motivated pattern of quark mass matrices. We show that in most of the models the numerical prediction for $V_{ub}$ can be {\it corrected} in both directions (by varying $\tan\beta$) due to {\it top} or {\it bottom} radiative corrections.

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