Constraint on super-luminal neutrinos from vacuum Cerenkov processes
Constraint on super-luminal neutrinos from vacuum Cerenkov processes
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发表时间：
2011-11
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通讯作者：
S. Mohanty;Soumya Rao
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作者：
S. Mohanty;Soumya Rao
We examine the Cerenkov-like emission of e + e from muon superluminal muon neutrinos assuming a quadratic energy dependence of the neutrino velocity arising from Lorentz violating interactions. We nd that with the OPERA result for the neutrino-photon velocity difference , the decay length for the process ! e + e is 17,039 km which is much larger than the OPERA neutrinos path length of 730 km. We also calculate the pion rate for super-luminal outgoing neutrinos, and we nd that the deviation of the pion decay length from the standard Lorentz conserving case at the OPERA neutrino energy is 2%. We conclude that if the muon-neutrino velocity has a quadratic energy dependence, then OPERA result is consistent with non-observation of forbidden neutrino decays and large deviations from the standard pion decay lifetime.
