Lepton Pair Čerenkov Radiation Emitted by Tachyonic Neutrinos: Lorentz-Covariant Approach and IceCube Data

Figure 2

(a) Region of allowed outgoing momenta for the decay of an incoming superluminal neutrino with . The neutrino is incoming along positive -axis (). The boundary of allowed vectors constitutes a distorted ellipsoid with a “sharpened tip,” obtained as a solution of setting in (12). (b) Region of allowed vectors for an incoming tachyonic neutrino with and , producing an electron-positron pair of mass (dispersion relation ). Final wave vectors correspond to evanescent waves and are thus to be excluded [6].

(a)

(b)