Corrections to b, t quark masses and $\ddot{I}„$ lepton mass in SUGRA including CP phases

Abstract

A brief review is given of recent analyses of the effects of CP phases on the supersymmetric QCD and supersymmetric electroweak contibutions to the $b$ and $t$ quark masses and to the $\ddot{I}„$ lepton mass in SUGRA models. The effects of CP phases on the supersymmetric contributions are found to be significanlty large for the b quark mass as they can change both its sign and its magnitude. Thus with the inclusion of CP phases the supersymmetric correction to the b quark mass can be as much as fifty percent or more of the total b quark mass. For the case of the $\ddot{I}„$ lepton, the effects of CP phases on the supersymmetric correction is also relatively large as it can again affect both the sign and the magnitude of the $\ddot{I}„$ mass correction. However, in this case the overall correction is found to be only a few percent. The effect of CP phases on SUSY contribution to the $t$ quark mass was also investigated. However, in this case the overall correction is less than a percent with or without the inclusion of phases. These results have important implications for $b-\ddot{I}„$ unification and for $b-t-\ddot{I}„$ unification in the context of unified theories.

Based on talk at SUGRA20 at Northeastern University, Boston, USA, March 17-21. 14 pages including 5 figures, Latex