Neutrino superluminality without Cherenkov-like processes in Finslerian special relativity
arXiv:1203.5569 · doi:10.1016/j.physletb.2012.03.002
Abstract
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.
9 pages, no figure. Version for publication in PLB
References in corpus (11)
- Very Special Relativity
- General Very Special Relativity is Finsler Geometry
- Planck-scale modified dispersion relations and Finsler geometry
- Riemann-Finsler geometry and Lorentz-violating kinematics
- Measurement of neutrino velocity with the MINOS detectors and NuMI neutrino beam
- The General Very Special Relativity in Finsler Cosmology
- Modified Newton's gravity in Finsler Space as a possible alternative to dark matter hypothesis
- Modified Friedmann model in Randers-Finsler space of approximate Berwald type as a possible alternative to dark energy hypothesis
- Lorentz Invariance Violation and Symmetry in Randers--Finsler Spaces
- Catching a bullet: direct evidence for the existence of dark matter
- Possible quantum gravity effects on the gravitational deflection of light