ATTENTION : jour et heure inhabituels / ATTENTION: unusual day and hour
We consider supersymmetric grand unified theories in four dimensions, and their implications for the squark and slepton masses. In particular, we consider supersymmetric $SO(10)$ grand unification where the unified gauge group can break to the Standard Model gauge group through different breaking chains. The breaking of $SO(10)$ necessarily involves the reduction of the rank, and consequent generation of non-universal supersymmetry breaking scalar mass terms. We derive squark and slepton mass relations, taking into account these non-universal contributions to the sfermion masses, which can help distinguish between the different breaking patterns of $SO(10)$ gauge group to the Standard Model gauge group. We then study some of the phenomenological implications of these non-universal supersymmetry breaking scalar masses for the low energy phenomenology.

Depart. of Physics, North-Eastern Hill Univ., Shillong, IndiaandSPhT, CEA/Saclay