Current experiments do not exclude the possibility that one or more neutrinos are very slightly superluminal or that they have a very small tachyonic mass. Important bounds on the size of a hypothetical tachyonic neutrino mass term are set by lepton pair Čerenkov radiation (LPCR), that is, by the decay channel → e+ e- , which proceeds via a virtual Z0 boson. Here, we use a Lorentz-invariant dispersion relation which leads to very tight constraints on the tachyonic mass of neutrinos; we also calculate decay and energy loss rates. A possible cutoff seen in the IceCube neutrino spectrum for Ev > 2 PeV, due to the potential onset of LPCR, is discussed.
U. D. Jentschura and R. B. Ehrlich, "Lepton Pair Čerenkov Radiation Emitted by Tachyonic Neutrinos: Lorentz-Covariant Approach and IceCube Data," Advances in High Energy Physics, vol. 2016, Hindawi Publishing Corporation, May 2016.
The definitive version is available at https://doi.org/10.1155/2016/4764981
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