Neutrino Pair Cerenkov Radiation for Tachyonic Neutrinos

Figure 1

The decay process in (a) involves a faster-than-light neutrino decaying into an electron-positron pair, with a threshold for the virtual boson. In (b), a neutrino-antineutrino pair is emitted from an oncoming energetic neutrino. Both processes are kinematically allowed if one assumes that neutrinos are tachyons described by a dispersion relation of the form .

(a)

(b)