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We consider in detail the calculation of the decay rate of high-energysuperluminal neutrinos against (charged) lepton pair Cerenkov radiation (LPCR),and neutrino pair Cerenkov radiation (NPCR), i.e., against the decay channelsnu -> nu e+ e- and nu -> nu nubar nu. Under the hypothesis of a tachyonicnature of neutrinos, these decay channels put constraints on the lifetime ofhigh-energy neutrinos for terrestrial experiments as well as on cosmic scales.For the oncoming neutrino, we use the Lorentz-covariant tachyonic relation E_nu= (p^2 - m_nu^2)^(1/2), where m_nu is the tachyonic mass parameter. We deriveboth threshold conditions as well as decay and energy loss rates, using theplane-wave fundamental bispinor solutions of the tachyonic Dirac equation.Various intricacies of rest frame versus lab frame calculations arehighlighted. The results are compared to the observations of high-energyIceCube neutrinos of cosmological origin.

Calculation of the Decay Rate of Tachyonic Neutrinos against Charged-Lepton-Pair and Neutrino-Pair Cerenkov Radiation