Unification of Fundamental Interactions in Supersymmetry

Abstract

A review is given of recent developments on the implications of supergravity grand unification with SU(5)-type proton decay under the condition M _H3 /mG < 10 (where M _H3 , is the Higgs triplet mass) and the naturalness condition that the universal scalar mass m_o and the gluino mass are < 1 TeV. It is shown that the maximum achievable lifetime limits on proton lifetime at Super Kamiokande and ICARUS will exhaust the full parameter space of the model under the constraint m_ŵ1, > 100 GeV. Thus the model predicts the observation of either a light chargino with mass ≲ 100 GeV, or the observation of a $\bar{\nu }$ K ⁺ mode at Super Kamiokande and ICARUS within the above naturalness constraints. Analysis of the b → sγ branching ratio within this model is also discussed. It is shown that there is a significant region of the parameter space where the branching ratio predicted by the model lies within the current experimental bounds. It is pointed out that improved measurements of B(b → sγ) will significantly delineate the parameter space of the model and allow for a more stringent determination of their allowed ranges.

ArticleFootNote

Invited Talk at the Conference on “Unified Symmetry in the Small and in the Large”, at Coral Gables, Florida, Jan 27-30, 1994.