Superheavy supersymmetry from scalar mass – A parameter fixed points

In supersymmetric models, the well-known tension between naturalness and experimental constraints is relieved if the squarks and sleptons of the first two generations are superheavy, with masses mheavy≳10 TeV, and all other superpartners are light, with masses mlight≲1 TeV. We show that even if all scalar masses and trilinear A parameters are of order mheavy at some high scale, a hierarchy of mheavy2/mlight2∼400 may be generated dynamically through renormalization group evolution. The required high energy relations are consistent with grand unification, or, alternatively, may be realized in moduli-dominated supersymmetry-breaking scenarios.