The Superluminal Neutrinos from Deformed Lorentz Invariance

Abstract

We study two superluminal neutrino scenarios where δv\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 δv_ν 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. In Scenario I the momentum conservation law is preserved while the energy conservation law is deformed. In Scenario II the energy conservation law is preserved while the momentum conservation law is deformed. We present the energy and momentum conservation laws in terms of neutrino momentum in Scenario I and in terms of neutrino energy in Scenario II. In such formats, the energy and momentum conservation laws are exactly the same as those in the traditional quantum field theory with Lorentz symmetry. Thus, all the above theoretical challenges can be automatically solved. We show explicitly that the Bremsstrahlung processes are forbidden and there is no problem for pion decays.

RevTex4, 5 pages, comments and references added

References in corpus (16)

• New Constraints on Neutrino Velocities
• Constraints and tests of the OPERA superluminal neutrinos
• Time Delays of Strings in D-particle Backgrounds and Vacuum Refractive Indices
• Probes of Lorentz Violation in Neutrino Propagation
• OPERA-reassessing data on the energy dependence of the speed of neutrinos
• On the Possibility of Superluminal Neutrino Propagation
• Interpreting OPERA results on superluminal neutrino
• Superluminal Neutrinos at OPERA Confront Pion Decay Kinematics
• A search for the analogue to Cherenkov radiation by high energy neutrinos at superluminal speeds in ICARUS
• OPERA neutrinos and relativity
• Background Dependent Lorentz Violation: Natural Solutions to the Theoretical Challenges of the OPERA Experiment
• OPERA superluminal neutrinos and Kinematics in Finsler spacetime
• Relativity accommodates superluminal mean velocities
• Superluminal neutrinos from Lorentz-violating dimension-5 operators
• The Hypothesis of Superluminal Neutrinos: comparing OPERA with other Data
• Stability of tardyons and tachyons in the rotating and expanding Universe

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• Estimates of Radiation by Superluminal Neutrinos
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• Multiple Lorentz groups - a toy model for superluminal muon neutrinos
• Phenomenology of Philosophy of Science: OPERA data
• Neutrino Splitting and Density-Dependent Dispersion Relations