Neutrino Phenomenology of gauged L_mu - L_tau: MINOS and beyond

Understand

If a Z' gauge boson from a gauged L_mu - L_tau symmetry is very light, it is associated with a long-range leptonic force.

• In this case the particles in the Sun create via mixing of the Z' with the Standard Model Z a flavor-dependent potential for muon neutrinos in terrestrial long-baseline experiments.
• The potential changes sign for anti-neutrinos and hence can lead to apparent differences in neutrino and anti-neutrino oscillations without introducing CP or CPT violation.
• This could for instance explain the recently found discrepancy in the MINOS experiment.