The Superluminal Neutrinos from Deformed Lorentz Invariance

Understand

We study two superluminal neutrino scenarios where \delta v\equiv (v-c)/c is a constant.

• To be consistent with the OPERA, Borexino, and ICARUS experiments and with the SN1987a observations, we assume that \delta v_{\nu} on the Earth is about three order larger than that on the interstellar scale.
• To explain the theoretical challenges from the Bremsstrahlung effects and pion decays, we consider the deformed Lorentz invariance, and show that the superluminal neutrino dispersion relations can be realized properly while the modifications to the dispersion relations of the other Standard Model particles can be negligible.
• In addition, we propose the deformed energy and momentum conservation laws for a generic physical process.