Sparticle spectrum and phenomenology in split supersymmetry: some possibilities

We investigate the split supersymmetry (SUSY) scenario recently proposed by Arkani-Hamed and Dimopoulos, where the scalars are heavy but the fermions are within the TeV range. We show that the sparticle spectrum in such a case crucially depends on the details of the mechanism underlying the SUSY breaking scheme. Different possible scenarios are identified, and characteristics of the corresponding accelerator signals are outlined. A new fermion $\psi_X$, arising from the SUSY breaking sector, is shown to control low-energy phenomenology in several cases. Also, SUSY signals are characterised by the associated production of the light neutral Higgs. In an alternative scenario where the gauginos are assumed to propagate in the bulk, we find that gluinos can be heavy and short-lived, and the SUSY breaking scale can be free of the cosmological constraints imposed in the erstwhile proposed model.