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`Yukawa unification in SO(10) confronts the LHC' 

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
the Higgs-mixing 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 an
SO(10) model in which mu is negative and YU may be realized in a way
consistent with all the phenomenological constraints due to an
appropriate pattern of non-universal soft masses for scalars and
gauginos. Special emphasis is given to the interplay between
constraints coming from BR(b->s gamma), the muon anomalous magnetic
moment and the relic density of the lightest neutralino. In the region
of parameter space where these constraints are simultaneously
satisfied the SUSY spectrum turns out to be light enough to be
detected at the LHC. It is also shown that the recent LHC searches for
SUSY already set some constraints on the model but large portion of
the parameter space are still consistent with all experimental data.

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