2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/6757We briefly discuss the expected level of supersymmetric dark matter cross-sections as a reference for dark matter detectors. We then discuss the current ZEPLIN II program as a prototype of large liquid Xenon detectors. Cryoarray is a possible cryogenic detector. Finally we discuss ZEPLIN IV and other one ton liquid Xenon detectors and the limiting backgrounds for such detectors.10 pages, 8 figures, paper presented at Beyond 03 Conference; corrected summary for Reference 4Astrophysicstext