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Advances in High Energy Physics
Volume 2017 (2017), Article ID 9850312, 8 pages
Research Article

Neutrino Pair Cerenkov Radiation for Tachyonic Neutrinos

1Department of Physics, Missouri University of Science and Technology, Rolla, MO 65409, USA
2MTA-DE Particle Physics Research Group, P.O. Box 51, Debrecen 4001, Hungary

Correspondence should be addressed to Ulrich D. Jentschura; ude.tsm@jlu

Received 25 May 2017; Accepted 17 October 2017; Published 12 November 2017

Academic Editor: Ming Liu

Copyright © 2017 Ulrich D. Jentschura and István Nándori. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


The emission of a charged light lepton pair by a superluminal neutrino has been identified as a major factor in the energy loss of highly energetic neutrinos. The observation of PeV neutrinos by IceCube implies their stability against lepton pair Cerenkov radiation. Under the assumption of a Lorentz-violating dispersion relation for highly energetic superluminal neutrinos, one may thus constrain the Lorentz-violating parameters. A kinematically different situation arises when one assumes a Lorentz-covariant, space-like dispersion relation for hypothetical tachyonic neutrinos, as an alternative to Lorentz-violating theories. We here discuss a hitherto neglected decay process, where a highly energetic tachyonic neutrino may emit other (space-like, tachyonic) neutrino pairs. We find that the space-like dispersion relation implies the absence of a threshold for the production of a tachyonic neutrino-antineutrino pair, thus leading to the dominant additional energy loss mechanism for an oncoming tachyonic neutrino in the medium-energy domain. Surprisingly, the small absolute values of the decay rate and energy loss rate in the tachyonic model imply that these models, in contrast to the Lorentz-violating theories, are not pressured by the cosmic PeV neutrinos registered by the IceCube collaboration.