Investigation on the Tachyonic Neutrino

TL;DR

This paper investigates whether neutrinos can be tachyons, concluding that only neutrinos with both handedness can be tachyonic, which has implications for understanding neutrino properties.

Contribution

It demonstrates that neutrinos with a single handedness cannot be tachyons, whereas those with both handedness can be, clarifying the conditions for neutrino tachyonicity.

Findings

Single-handed neutrinos cannot be tachyons

Both-handed neutrinos can be tachyons

Implications for neutrino properties discussed

Abstract

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 the neutrinos with the single handedness can not be the tachyons, but only those of the both handedness can be. Several implications of this result are discussed.