Light Cone Reflection and the Spectrum of Neutrinos

Abstract

We extend the treatment of neutrinos within the context of SIM(2) Very Special Relativity (VSR) by adding a new discrete symmetry that we call Light Cone Reflection (LCR). We construct a Lagrangian that exhibits both VSR and LCR symmetry, and find that the spectrum involves two neutrinos, one tachyonic and the other not, with the same absolute value of the mass parameter. We argue that LCR symmetry offers a rationale for introducing tachyonic neutrinos.

arXiv comment8 pages, no figures; references added

References in corpus (5)

• Measurement of the neutrino velocity with the OPERA detector in the CNGS beam
• A Lorentz-Violating Origin of Neutrino Mass?
• Determination of a time-shift in the OPERA set-up using high energy horizontal muons in the LVD and OPERA detectors
• Resolution of 8 inconsistencies with the OPERA result on superluminal neutrinos, and the best way to check it
• Phase Space Factor for Two-Body Decay if One Product is a Stable Tachyon

Cited by in corpus (3)

• Tachyonic neutrinos and the neutrino masses
• Possible evidence for a $5.86PeV$ cosmic ray enhancement
• Chirally Invariant Avatar in a Model of Neutrinos with Light Cone Reflection Symmetry