RADIATIVE ELECTROWEAK SYMMETRY-BREAKING AND THE INFRARED FIXED-POINT OF THE TOP-QUARK MASS

The infrared quasi fixed point solution for the top quark mass in the Minimal Supersymmetric Standard Model explains in a natural way large values of the top quark mass and appears as a prediction in many inter esting theoretical schemes. Moreover, as has been recently pointed out , for moderate values of tan beta, in order to achieve gauge and botto m-tau Yukawa coupling unification, the top quark mass must be within 1 0% of its fixed point value. In this work we show that the convergence of the top quark mass to its fixed point value has relevant consequen ces for the (assumed) universal soft supersymmetry breaking parameters at the grand unification scale. In particular, we show that the low-e nergy parameters do not depend on A0 and B0 but on the combination del ta = B0 - A0/2. Hence, there is a reduction in the number of independe nt parameters. Most interesting, the radiative SU(2)L x U(1)Y breaking condition implies strong correlations between the supersymmetric mass parameter mu and the supersymmetry breaking parameters delta and M1/2 or m0. These correlations, which become stronger for tan beta < 2, ma y have some fundamental origin, which would imply the need of a reform ulation of the naive fine-tuning criteria. We analyse the implications of these correlations for the supersymmetric and Higgs particle spect rum of the theory.