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If a Z' gauge boson of a gauged L_mu - L_tau symmetry is very light, it is associated with a long-range leptonic force.
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Talk given by P. Vahle at 24th International Conference On Neutrino Physics And Astrophysics (Neutrino 2010), June 14, 2010, slides can be found at http://indico.cern.ch/materialDisplay.py?contribId=201&sessionId=1 &materialId=slides&confId=73981
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