Lepton flavor violating Z' explanation of the muon anomalous magnetic moment

Understand

We discuss a minimal solution to the long-standing $(g-2)_\mu$ anomaly in a simple extension of the Standard Model with an extra $Z'$ vector boson that has only flavor off-diagonal couplings to the second and third generation of leptons, i.e.

• $\mu, \tau, \nu_\mu, \nu_\tau$ and their antiparticles.
• A simplified model realization, as well as various collider and low-energy constraints on this model, are discussed.
• We find that the $(g-2)_\mu$-favored region for a $Z'$ lighter than the tau lepton is totally excluded, while a heavier $Z'$ solution is still allowed.