Decay of superluminal neutrinos in the collinear approximation

Abstract

The kinematics of the three body decay, with a modified energy-momentum relation of the particles due to a violation of Lorentz invariance, is presented in detail in the collinear approximation. The results are applied to the decay of superluminal neutrinos producing an electron-positron or a neutrino-antineutrino pair. Explicit expressions for the energy distributions, required for a study of the cascade of neutrinos produced in the propagation of superluminal neutrinos, are derived.

13 pages, 3 figures

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Cited by in corpus (6)

• White Paper and Roadmap for Quantum Gravity Phenomenology in the Multi-Messenger Era
• Constraints on Lorentz-invariance violation in the neutrino sector from the ultrahigh-energy event KM3-230213A
• Consistency of Lorentz-invariance violation neutrino scenarios in time delay analyses
• Testing Lorentz invariance violation using cosmogenic neutrinos
• Effects of new physics in neutrino propagation
• Superluminal constraints from ultra-high-energy neutrino events