Abstract
Recently, there is a growing interest of a light leptophilic gauge boson [Formula: see text], which might explain the [Formula: see text] puzzle. Considering the constraints on the [Formula: see text] coupling [Formula: see text], we calculate its contributions to the lepton flavor violation (LFV) decay [Formula: see text]. We find that this kind of new light gauge boson [Formula: see text] might make the LFV decay [Formula: see text] to be probed in future [Formula: see text] colliders.
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