Investigation on the Tachyonic Neutrino

According to the experimental data, it is still controversial whether the neutrinos, especially the electron–neutrino and muon–neutrino, can be considered as the fermionic spinorial tachyons, and there is still no reliable report on the existence of the right-handed neutrinos. In this letter, we show that only the neutrinos with both handedness can be the tachyons, while the single handedness neutrinos are impossible to be the tachyons. Several implications of this result are discussed.