Signatures of long-lived gluinos in split supersymmetry

We examine the experimental signatures for the production of gluinos atcolliders and in cosmic rays within the split supersymmetry scenario. Unlike inthe MSSM, the gluinos in this model are relatively long-lived due to the largevalue of the squark masses which mediate their decay. Searches at colliders arefound to be sensitive to the nature of gluino fragmentation as well as thegluino-hadron interactions with nuclei and energy deposition as it traversesthe detector. We find that the worst-case scenario, where a neutralgluino-hadron passes through the detector with little energy deposition, iswell described by a monojet signature. For this case, using Run I data weobtain a bound of $m_{\tilde g} > 170$ GeV; this will increase to 210(1100) GeVat Run II(LHC) if no excess events are observed. In the opposite case, where acharged gluino-hadron travels through the detector, a significantly greaterreach is obtained via stable charged particle search techniques. We alsoexamine the production of gluino pairs in the atmosphere by cosmic rays andshow they are potentially observable at IceCube; this would provide across-check for observations at hadron colliders.Comment: 18 pages, 7 figure