Remark on "Pair Creation Constrains Superluminal Neutrino Propagation"

TL;DR

This paper critiques a previous argument suggesting superluminal neutrinos would emit Cherenkov-like radiation, showing that within de Sitter space-time symmetry, such radiation is forbidden, aligning with experimental findings.

Contribution

It demonstrates that the Cohen-Glashow argument against superluminal neutrinos does not apply in de Sitter space-time symmetry, challenging prior conclusions.

Findings

Cherenkov-like radiation is forbidden in dS-SR framework.

The Cohen-Glashow argument does not hold in de Sitter space-time.

Results align with ICARUS experimental data.

Abstract

The concept of group velocity of a particle should be consistent with its Hamilton-Jacobi velocity. This point is missed in the work of Cohen, Glashow, "{\it Pair Creation Constrains Superluminal Neutrino Propagation}" (Phys. Rev. Lett. {\bf 107}, 181803 (2011)). It then leads to the conclusion of existence of Cherenkov-like radiation provided one sees superluminal neutrinos. We show that in the framework of Special Relativity with de Sitter space-time symmetry (dS-SR) the above Cohen-Glashow argument does not hold and the Cherenkov-like radiation is forbidden. Our result is consistent with the experimental results of the ICARUS Collaboration.