Lorentz- and CPT-violating models for neutrino oscillations

Abstract

A class of calculable global models for neutrino oscillations based on Lorentz and CPT violation is presented. One simple example matches established neutrino data from accelerator, atmospheric, reactor, and solar experiments, using only two degrees of freedom instead of the usual five. A third degree of freedom appears in the model, and it naturally generates the MiniBooNE low-energy anomalies. More involved models in this class can also accommodate the LSND anomaly and neutrino-antineutrino differences of the MINOS type. The models predict some striking signals in various ongoing and future experiments.

17 pages two-column REVTeX

References in corpus (21)

• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• The Reactor Antineutrino Anomaly
• Improved search for muon-neutrino to electron-neutrino oscillations in MINOS
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Matter-gravity couplings and Lorentz violation
• Measurement of the neutrino mass splitting and flavor mixing by MINOS
• Riemann-Finsler geometry and Lorentz-violating kinematics
• Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
• Prospects for Large Relativity Violations in Matter-Gravity Couplings
• Global three-parameter model for neutrino oscillations using Lorentz violation
• Perturbative Lorentz and CPT violation for neutrino and antineutrino oscillations
• Search for a Lorentz-violating sidereal signal with atmospheric neutrinos in IceCube
• Classical kinematics for Lorentz violation
• Vector models of gravitational Lorentz symmetry breaking
• CPT violation and B-meson oscillations
• Challenging Lorentz noninvariant neutrino oscillations without neutrino masses
• Probing Nonstandard Neutrino Physics by Two Identical Detectors with Different Baselines
• Lorentz Violation in Goldstone Gravity
• Lorentz violating extension of the Standard Model and the Beta-decay end-point
• MINOS Anomaly as A Signal of Lorentz Violation
• Extreme scenarios of new physics in the UHE astrophysical neutrino flavour ratios

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• Significant Excess of ElectronLike Events in the MiniBooNE Short-Baseline Neutrino Experiment
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• What Do We Know About Lorentz Invariance?
• Updated MiniBooNE Neutrino Oscillation Results with Increased Data and New Background Studies
• The Short-Baseline Neutrino Program at Fermilab
• Where Are We With Light Sterile Neutrinos?
• White Paper on New Opportunities at the Next-Generation Neutrino Experiments (Part 1: BSM Neutrino Physics and Dark Matter)
• Massive photons and Lorentz violation
• Test of Lorentz and CPT violation with Short Baseline Neutrino Oscillation Excesses
• First Test of Lorentz Violation with a Reactor-based Antineutrino Experiment
• On the Possibility of Superluminal Neutrino Propagation
• On a relativistic scalar particle subject to a Coulomb-type potential given by Lorentz symmetry breaking effects
• Optical-cavity tests of higher-order Lorentz violation
• Limits on Lorentz and CPT violation from double beta decay
• Unsolved problems in particle physics
• Geometric quantum phases from Lorentz symmetry breaking effects in the cosmic string spacetime
• Tests of Lorentz and CPT violation with MiniBooNE neutrino oscillation excesses
• Search for neutrino-antineutrino oscillations with a reactor experiment
• Neutrino vs. Antineutrino Oscillation Parameters at DUNE and Hyper-Kamiokande
• Solutions to the MiniBooNE Anomaly from New Physics in Charged Meson Decays
• The charged lepton mass matrix and non-zero ${\theta }_{13}$ with TeV scale New Physics
• Bianchi type I cosmology with a Kalb-Ramond background field
• Neutrinos as probes of Lorentz invariance
• Renormalizability of Yang-Mills theory with Lorentz violation and gluon mass generation
• Lorentz violation in a uniform newtonian gravitational field
• Neutrino Oscillations and Lorentz Invariance Violation
• Gauge invariant electromagnetic properties of fermions induced by CPT violation in the Standard Model Extension
• Testing Lorentz invariance and CPT symmetry using gamma-ray burst neutrinos
• Relativistic geometric quantum phases from the Lorentz symmetry violation effects in the CPT-even gauge sector of Standard Model Extension
• Violations of Lorentz invariance in the neutrino sector: an improved analysis of anomalous threshold constraints
• Extrinsic and Intrinsic CPT Asymmetries in Neutrino Oscillations
• Constraining CPT-odd nonminimal interactions in the Electroweak sector
• Neutrino Interactions with Matter and the MiniBooNE anomaly
• Lorentz Violation in the Higgs Sector and Noncommutative Standard Model
• Can Lorentz Invariance Violation affect the Sensitivity of Deep Underground Neutrino Experiment?
• Exploring the effect of Lorentz invariance violation with the currently running long-baseline experiments
• Implications of $\text{SU}(2{)}_L$ gauge invariance for constraints on Lorentz violation
• Lorentz-violating Yang-Mills theory: discussing the Chern-Simons-like term generation
• Lorentz symmetry breaking effects on relativistic EPR correlations
• Remarks on the renormalization properties of Lorentz and CPT violating quantum electrodynamics
• A review of the tension between the T2K and NO$\nu$A appearance data and hints to new physics
• Lorentz violation and higher-derivative gravity
• Testing CPT violation with correlated neutral mesons
• Optical-Cavity Limits on Higher-Order Lorentz Violation
• Probing Lorentz Invariance Violation with Atmospheric Neutrinos at INO-ICAL
• Lorentz-violating extension of the spin-one Duffin-Kemmer-Petiau equation
• Charged lepton electric dipole moment enhancement in the Lorentz violated extension of the standard model
• Quantum speed limit for a relativistic electron in the noncommutative phase space
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Bimetric Relativity and the Opera Neutrino Experiment
• Sterile neutrinos with altered dispersion relations revisited
• Real-time spectroscopy of solar pp neutrinos using Nd-150
• Exploring new physics with DUNE high energy flux: the case of Lorentz Invariance Violation, Large Extra Dimensions and Long Range Forces
• Bounds on Lorentz-violating Yukawa couplings via lepton electromagnetic moments
• Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string spacetime
• Lorentz-Violating Regulator Gauge Fields as the Origin of Dynamical Flavour Oscillations
• Constraining CPT violation with Hyper-Kamiokande and ESSnuSB
• Quasi-relativistic fermions and dynamical flavour oscillations
• Two-detector flavor sensitivity to ultra-high-energy cosmic neutrinos
• Model-independent test for CPT violation using long-baseline and atmospheric neutrino experiments
• Formal Developments for Lorentz-Violating Dirac Fermions and Neutrinos
• He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects
• One-loop Schwinger effect in the presence of Lorentz-violating background fields
• Principles for a unified picture of fermions
• Estimating matter induced CPT violation in Long-Baseline Neutrino Experiments
• A Model of Neutrino Anomalies and IceCube data
• Reconciling LSND and super-Kamiokande data through the dynamical Lorentz symmetry breaking in a four-Majorana fermion model
• Search for the Footprints of New Physics with Laboratory and Cosmic Neutrinos
• Probing Lorentz invariance with a high-energy neutrino flare
• Proper time operator and its uncertainty relation
• Probing Lorentz Invariance Violation with Neutrino Factories
• Discussion on Lorentz Invariance Violation of Non-commutative Field Theory and Neutrino Oscillation
• Fermionic quantum gas at finite temperature within a Lorentz violating background