Constraints on Neutrino Velocities Revisited

Abstract

With a minimally modified dispersion relation for neutrinos, we reconsider the constraints on superluminal neutrino velocities from bremsstrahlung effects in the laboratory frame. Employing both the direct calculation approach and the virtual Z-boson approach, we obtain the generic decay width and energy loss rate of a superluminal neutrino with general energy. The Cohen-Glashow's analytical results for neutrinos with a relatively low energy are confirmed in both approaches. We employ the survival probability instead of the terminal energy to assess whether a neutrino with a given energy is observable or not in the OPERA experiment. Moreover, using our general results we perform systematical analyses on the constraints arising from the Super-Kamiokande and IceCube experiments.

RevTex4, 14 pages, 5 figures, minor corrections, version to appear in Phys. Rev. D

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• Neutrinos as probes of Lorentz invariance
• Testing Lorentz and CPT invariance with neutrinos
• Constraints on neutrino mass in the scenario of vacuum energy interacting with cold dark matter after Planck 2018
• Uncertainties in Constraints from Pair Production on Superluminal Neutrinos
• Neutrino Splitting for Lorentz-Violating Neutrinos: Detailed Analysis
• Decay of superluminal neutrinos in the collinear approximation
• Constraints on Lorentz-invariance violation in the neutrino sector from the ultrahigh-energy event KM3-230213A
• Estimates of Radiation by Superluminal Neutrinos
• Probes for String-Inspired Foam, Lorentz, and CPT Violations in Astrophysics
• Neutrino processes with power law dispersion relations
• Neutrino Splitting and Density-Dependent Dispersion Relations