Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2012-03-26
Physics Letters B 710 (2012) 430-434
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages, no figure. Version for publication in PLB
Scientific paper
10.1016/j.physletb.2012.03.002
Recently, Cohen and Glashow [A.G. Cohen, S.L. Glashow, Phys. Rev. Lett. {\bf 107}, 181803 (2011)] pointed out that the superluminal neutrinos reported by the OPERA would lose their energy rapidly via the Cherenkov-like process. The Cherenkov-like process for the superluminal particles would be forbidden if the principle of special relativity holds in any frame instead violated with a preferred frame. We have proposed that the Finslerian special relativity could account for the data of the neutrino superluminality (arXiv:1110.6673[hep-ph]). The Finslerian special relativity preserves the principle of special relativity and involves a preferred direction while consists with the causality. In this paper, we prove that the energy-momentum conservation is preserved and the energy-momentum is well defined in Finslerian special relativity. The Cherenkov-like process is forbidden in the Finslerian special relativity. Thus, the superluminal neutrinos would not lose energy in their distant propagation.
Chang Zhe
Li Xin
Wang Sai
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