### Abstract

We consider in detail the calculation of the decay rate of high-energy superluminal neutrinos against (charged) lepton pair Cerenkov radiation, and neutrino pair Cerenkov radiation, i.e., against the decay channels n → n e e + - and n → n n n. Under the hypothesis of a tachyonic nature of neutrinos, these decay channels put constraints on the lifetime of high-energy neutrinos for terrestrial experiments as well as on cosmic scales. For the oncoming neutrino, we use the Lorentz-covariant tachyonic relation En = - p m→2 n 2 , where m→ is the tachyonic mass parameter. We derive both threshold conditions as well as on decay and energy loss rates, using the plane-wave fundamental bispinor solutions of the tachyonic Dirac equation. Various intricacies of rest frame versus lab frame calculations are highlighted. The results are compared to the observations of high-energy IceCube neutrinos of cosmological origin.

Original language | English |
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Article number | 105201 |

Journal | Journal of Physics G: Nuclear and Particle Physics |

Volume | 44 |

Issue number | 10 |

DOIs | |

Publication status | Published - Sep 12 2017 |

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### Keywords

- Lorentz invariance
- Neutrinos
- decay processes
- generalized Dirac equations
- tachyons

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of Physics G: Nuclear and Particle Physics*,

*44*(10), [105201]. https://doi.org/10.1088/1361-6471/aa84da