Neutrino Oscillations and Lorentz Invariance Violation

Abstract

This work explores the possibility of resorting to neutrino phenomenology to detect evidence of new physics, caused by the residual signals of the supposed quantum structure of spacetime. In particular, this work investigates the effects on neutrino oscillations and mass hierarchy detection, predicted by models that violate Lorentz invariance, preserving the spacetime isotropy and homogeneity. Neutrino physics is the ideal environment where conducting the search for new "exotic" physics, since the oscillation phenomenon is not included in the original formulation of the minimal Standard Model (SM) of particles. The confirmed observation of the neutrino oscillation phenomenon is, therefore, the first example of physics beyond the SM and can indicate the necessity to resort to new theoretical models. In this work, the hypothesis that the supposed Lorentz Invariance Violation (LIV) perturbations can influence the oscillation pattern is investigated. LIV theories are indeed constructed assuming modified kinematics, caused by the interaction of massive particles with the spacetime background. This means that the dispersion relations are modified, so it appears natural to search for effects caused by LIV in physical phenomena governed by masses, as in the case of neutrino oscillations. In addition, the neutrino oscillation phenomenon is interesting since there are three different mass eigenstates and in a LIV scenario, which preserves isotropy, at least two different species of particle must interact.

References in corpus (16)

• Observation of electron-antineutrino disappearance at Daya Bay
• Measurement of Neutrino Oscillation by the K2K Experiment
• Measurements of neutrino oscillation in appearance and disappearance channels by the T2K experiment with 6.6E20 protons on target
• Planck-scale modified dispersion relations and Finsler geometry
• Riemann-Finsler geometry and Lorentz-violating kinematics
• Perturbative Lorentz and CPT violation for neutrino and antineutrino oscillations
• Search for a Lorentz-violating sidereal signal with atmospheric neutrinos in IceCube
• Test of Lorentz invariance with atmospheric neutrinos
• Searching for Traces of Planck-Scale Physics with High Energy Neutrinos
• A Lorentz-Violating Origin of Neutrino Mass?
• On the assertion that PCT violation implies Lorentz non-invariance
• CPT/Lorentz Invariance Violation and Neutrino Oscillation
• Correspondence between nonstandard interactions and CPT violation in neutrino oscillations
• Lorentz violation footprints in the spectrum of high-energy cosmic neutrinos: Deformation of the spectrum of superluminal neutrinos from electron-positron pair production in vacuum
• Remarks on a challenge to the relation between $CPT$ and Lorentz violation
• Hamilton Geometry - Phase Space Geometry from Modified Dispersion Relations

Cited by in corpus (6)

• Probing the Lorentz Invariance Violation via Gravitational Lensing and Analytical Eigenmodes of Perturbed Slowly Rotating Bumblebee Black Holes
• Phenomenological Effects of CPT and Lorentz Invariance Violation in Particle and Astroparticle Physics
• Predictions of Ultra-High Energy Cosmic Ray Propagation in the Context of Homogeneously Modified Special Relativity
• Squeezing the Parameter Space for Lorentz Violation in the Neutrino Sector by Additional Decay Channels
• Testing the universality of quantum gravity theories with cosmic messengers in the context of DSR theories
• Possible implications for particle physics by quantum measurement