Causality violation in e+e- pair production by superluminal neutrinos

Pair emission by superluminal neutrinos is shown to be causality violating in the 10-50 GeV range covered by the OPERA experiment. Thus, the energy density of a freely propagating superluminal neutrino current is not affected by energy loss due to e(+)e(-) pair creation, in accordance with the unperturbed energy profile observed by ICARUS. Interaction processes involving sub- and superluminal particles give rise to time inversions in the rest frames of the subluminal constituents, resulting in causality violating predetermination. Therefore, kinematic causality constraints in addition to energy-momentum conservation are necessary to exclude causality violation outside the lightcone. Electron-positron pair production v(mu) -> v(mu) + e(+) + e(-) by superluminal muon neutrinos is forbidden in the OPERA energy range, as the kinematic constraints on the neutrino frequencies and wave vectors required by causality and energy-momentum conservation cannot simultaneously be satisfied.