Impact of lepton-flavor violatingZ′bosons on muong−2and other muon observables

A lepton-flavor violating (LFV) $Z^{\prime }$ boson may mimic some of the phenomena usually attributed to supersymmetric theories. Using a conservative model of LFV $Z^{\prime }$ bosons, the recent BNL E821 muon $g-2$ deviation allows for a LFV $Z^{\prime }$ interpretation with a boson mass up to 4.8 TeV while staying within limits set by muon conversion: $\overrightarrow{\mu }e\gamma$ and $\overrightarrow{\mu }\mathrm{eee}.\mathrm{}$ This model is immediately testable as one to twenty $e^{+}{e}^{-}\to \mu \tau$ events are predicted for an analysis of the CERN LEP II data. Future muon conversion experiments, MECO and PRIME, are demonstrated to have the potential to probe very high boson masses with very small charges, such as a 10-TeV boson with an $e-\mu$ charge of ${10}^{-5}.$ Furthermore, the next linear collider is shown to be highly complementary with muon conversion experiments, which are shown to provide the strictest and most relevant bounds on LFV phenomena.