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The concept of group velocity of a particle should be consistent with itsHamilton-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 existenceof Cherenkov-like radiation provided one sees superluminal neutrinos. We showthat 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-likeradiation is forbidden. Our result is consistent with the experimental resultsof the ICARUS Collaboration.

Remark on "Pair Creation Constrains Superluminal Neutrino Propagation"