Abstract

In SO(10) SUSY GUT the top, bottom and tau Yukawa couplings unify at the GUT scale. Yukawa unification (YU) prefers the negative sign of parameter \mu. However, negative \mu is typically disfavoured by the measurements of the muon anomalous magnetic moment (g-2). This is the reason why most of the studies so far have been devoted to the case of positive \mu. Those studies show that YU is very hard to obtain in a natural way when \mu is positive. We study a model in which \mu is negative, as preferred by YU, but SUSY contribution to (g-2) is positive (as preferred by the experiment). The crucial feature of our model are non-universal gaugino masses which are assumed to be generated by the F-term vev which is a non-singlet representation of SO(10) transforming as 24-dimensional representation under SU(5). It is shown that all the phenomenological constraints on this model can be easily satisfied while keeping SUSY spectrum light enough to be detected at the LHC and to explain (g-2) anomaly. Special emphasis is given to the interplay between constraints coming from BR(b->s\gamma) and the muon anomalous magnetic moment.