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Violations of Lorentz invariance in the neutrino sector: an improved analysis of anomalous threshold constraints

2011/10/31 by Luca Maccione, Stefano Liberati, David Mattingly +1
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #CPT symmetry #Classical mechanics #Dispersion relation #Invariant (physics) #Lorentz covariance #Lorentz transformation #Neutrino #Neutrino Physics Research #Neutrino oscillation #Noncommutative and Quantum Gravity Theories #Oscillation (cell signaling) #Particle physics #Physics #Physics beyond the Standard Model #Quantum mechanics #Theoretical physics #hep-ph

paper · pdf · doi:10.1088/1475-7516/2013/03/039

published as JCAP03(2013)039 · v1: 8 pages, 2 figures. v2: Rate for neutrino splitting corrected, other minor adjustments for clarity and context. Comment added on recent Icarus results. v3: Accepted for publication in JCAP. Significantly revised version after OPERA withdrew the superluminal results. Our original unpublished comments on those results can be found in v2

arxiv created 2013/03/11 · openalex publication_date 2013/03/28 · arxiv updated 2013/04/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Recently there has been a renewed activity in the physics of violations of Lorentz invariance in the neutrino sector. Flavor dependent Lorentz violation, which generically changes the pattern of neutrino oscillations, is extremely tightly constrained by oscillation experiments. Flavor independent Lorentz violation, which does not introduce new oscillation phenomena, is much more weakly constrained with constraints coming from time of flight and anomalous threshold analyses. We use a simplified rotationally invariant model to investigate the effects of finite baselines and energy dependent dispersion on anomalous reaction rates in long baseline experiments and show numerically that anomalous reactions do not necessarily cut off the spectrum quite as sharply as currently assumed. We also present a revised analysis of how anomalous reactions can be used to cast constraints from the observed atmospheric high energy neutrinos and the expected cosmogenic ones.

Citations