Supersymmetric unification without low energy supersymmetry and signatures for fine-tuning at the LHC

The cosmological constant problem is a failure of naturalness and suggeststhat a fine-tuning mechanism is at work, which may also address the hierarchyproblem. An example -- supported by Weinberg's successful prediction of thecosmological constant -- is the potentially vast landscape of vacua in stringtheory, where the existence of galaxies and atoms is promoted to a vacuumselection criterion. Then, low energy SUSY becomes unnecessary, andsupersymmetry -- if present in the fundamental theory -- can be broken near theunification scale. All the scalars of the supersymmetric standard model becomeultraheavy, except for a single finely tuned Higgs. Yet, the fermions of thesupersymmetric standard model can remain light, protected by chiral symmetry,and account for the successful unification of gauge couplings. This frameworkremoves all the difficulties of the SSM: the absence of a light Higgs andsparticles, dimension five proton decay, SUSY flavor and CP problems, and thecosmological gravitino and moduli problems. High-scale SUSY breaking raises themass of the light Higgs to about 120-150 GeV. The gluino is strikingly longlived, and a measurement of its lifetime can determine the ultraheavy scalarmass scale. Measuring the four Yukawa couplings of the Higgs to the gauginosand higgsinos precisely tests for high-scale SUSY. These ideas, if confirmed,will demonstrate that supersymmetry is present but irrelevant for the hierarchyproblem -- just as it has been irrelevant for the cosmological constant problem-- strongly suggesting the existence of a fine-tuning mechanism in nature.Comment: Typos and equations fixed, references adde