[formula presented] violation, Higgs couplings, and supersymmetry

Supersymmetric extensions of the standard model generically contain additional sources of (Formula presented) violation. We discuss how at one loop a potentially large (Formula presented) violating coupling of the lightest Higgs boson (Formula presented) to leptons is induced in the minimal supersymmetric standard model (MSSM). The (Formula presented) violating couplings of (Formula presented) in extensions of the MSSM, such as the next-to-minimal supersymmetric standard model (NMSSM) are also considered. We indicate how this (Formula presented) violation might be observed; in particular a polarization-dependent production asymmetry, in the context of a muon collider, provides a means to access this coupling cleanly. In the MSSM, existing limits on the electric dipole moment of the electron, coupled with standard universality assumptions, severely constrains any such signal. Nevertheless, extensions of the MSSM, such as the NMSSM, allow (Formula presented)-violating signals as large as 100%.