Exploration of Possible Quantum Gravity Effects with Neutrinos II: Lorentz Violation in Neutrino Propagation
Alexander Sakharov, John Ellis, Nicholas Harries, Anselmo Meregaglia,, Andre Rubbia

TL;DR
This paper investigates potential Lorentz violation effects in neutrino propagation caused by quantum gravity, using supernova and neutrino experiment data to set limits on such violations.
Contribution
It provides new constraints on linear and quadratic Lorentz violation parameters in neutrino propagation based on observational data.
Findings
Limits on linear Lorentz violation parameter M_ uQG1
Limits on quadratic Lorentz violation parameter M_ uQG2
Constraints derived from supernova and OPERA neutrino data
Abstract
It has been suggested that the interactions of energetic particles with the foamy structure of space-time thought to be generated by quantum-gravitational (QG) effects might violate Lorentz invariance, so that they do not propagate at a universal speed of light. We consider the limits that may be set on a linear or quadratic violation of Lorentz invariance in the propagation of energetic neutrinos, v/c=[1 +- (E/M_\nuQG1)] or [1 +- (E/M_\nu QG2}^2], using data from supernova explosions and the OPERA long-baseline neutrino experiment.
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