Lepton flavor violating signals of gauge bosons $Z^{\prime }$ at future $e^{+}{e}^{-}$ colliders

Abstract

Many models, such as topcolor-assisted technicolor (TC2) models and flavor-universal TC2 models, predict the existence of extra U(1) gauge bosons $Z^{\prime }$, which couple preferentially to the third generation. The lepton flavor violating (LFV) signals of these new particles at the future $e^{+}{e}^{-}$ colliders (LCs) are discussed via calculating its contributions to the LFV process $e^{+}{e}^{-}\to \mu \tau$. We calculate the cross section of this process and discuss its dependence on the beam polarization. The ratio of signal over square root of the background $(S/\sqrt{B})$ is also calculated. The results show that the LFV signals of the gauge bosons $Z^{\prime }$ may be detected at the future LC experiments.

Comments: Latex files, 11 pages and 4 figures