A Z' Model Which May Be Relevant to the New LEP Events

A multi-Higgs model with an extra neutral gauge boson ($Z'$) is introduced. One scalar Higgs boson ($H_2$) in this model decays dominantly into a photon pair. The $Z'$ decay to $\mu^+\mu^-$ gets a much larger branching ratio than the $Z$ decay to this channel. The $Z Z' H_2$ vertex provides a final state from $Z$ decay resembling the new $l^+l^-\gamma\gamma$ events at the LEP. Other promising phenomenology, such as $Z \rightarrow l\bar l Z'$ is also discussed.