Neutrinos with Lorentz-violating operators of arbitrary dimension
arXiv:1112.6395 · doi:10.1103/PhysRevD.85.096005
Abstract
The behavior of fermions in the presence of Lorentz and CPT violation is studied. Allowing for operators of any mass dimension, we classify all Lorentz-violating terms in the quadratic Lagrange density for free fermions. The result is adapted to obtain the effective hamiltonian describing the propagation and mixing of three flavors of left-handed neutrinos in the presence of Lorentz violation involving operators of arbitrary mass dimension. A characterization of the neutrino coefficients for Lorentz violation is provided via a decomposition using spin-weighted spherical harmonics. The restriction of the general theory to various special cases is discussed, including among others the renormalizable limit, the massless scenario, flavor-blind and oscillation-free models, the diagonalizable case, and several isotropic limits. The formalism is combined with existing data on neutrino oscillations and kinematics to extract a variety of measures of coefficients for Lorentz and CPT violation. For oscillations, we use results from the short-baseline experiments LSND and MiniBooNE to obtain explicit sensitivities to effects from flavor-mixing Lorentz-violating operators up to mass dimension 10, and we present methods to analyze data from long-baseline experiments. For propagation, we use time-of-flight measurements from the supernova SN1987A and from a variety of experiments including MINOS and OPERA to constrain oscillation-free Lorentz-violating operators up to mass dimension 10, and we discuss constraints from threshold effects in meson decays and Cherenkov emission.
35 pages two-column REVTeX
References in corpus (46)
- Electrodynamics with Lorentz-violating operators of arbitrary dimension
- Signals for Lorentz Violation in Post-Newtonian Gravity
- Matter-gravity couplings and Lorentz violation
- Riemann-Finsler geometry and Lorentz-violating kinematics
- Constraints on Torsion from Lorentz Violation
- Preferred-Frame and CP-Violation Tests with Polarized Electrons
- Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
- Prospects for Large Relativity Violations in Matter-Gravity Couplings
- New Constraints on Neutrino Velocities
- Measurement of neutrino velocity with the MINOS detectors and NuMI neutrino beam
- GRBs Neutrinos as a Tool to Explore Quantum Gravity induced Lorentz Violation
- Global three-parameter model for neutrino oscillations using Lorentz violation
- Physics Reach of High-Energy and High-Statistics IceCube Atmospheric Neutrino Data
- 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
- Weighted power counting and Lorentz violating gauge theories. I: General properties
- Lorentz- and CPT-violating models for neutrino oscillations
- Classification of Dimension 5 Lorentz Violating Interactions in the Standard Model
- Weighted power counting and Lorentz violating gauge theories. II: Classification
- One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
- Constraints and tests of the OPERA superluminal neutrinos
- One-Loop Renormalization of the Electroweak Sector with Lorentz Violation
- One-Loop Renormalization of QCD with Lorentz Violation
- On the Possibility of Superluminal Neutrino Propagation
- Vector models of gravitational Lorentz symmetry breaking
- CPT violation and B-meson oscillations
- Challenging Lorentz noninvariant neutrino oscillations without neutrino masses
- On the renormalization of CPT/Lorentz violating QED in curved space
- Superluminal Neutrinos at OPERA Confront Pion Decay Kinematics
- Probing Nonstandard Neutrino Physics by Two Identical Detectors with Different Baselines
- Lorentz Violation in Goldstone Gravity
- Model dependence of the bremsstrahlung effects from the superluminal neutrino at OPERA
- Chiral Anomaly Beyond Lorentz Invariance
- Constraints on Neutrino Velocities Revisited
- Consequences of Neutrino Lorentz Violation For Leptonic Meson Decays
- Lorentz violating extension of the Standard Model and the Beta-decay end-point
- Superluminal neutrino, flavor, and relativity
- Non-Standard Neutrino Propagation and Pion Decay
- Doubly Special Relativity: A New Relativity or Not?
- Do high-energy neutrinos travel faster than photons in a discrete space-time?
- Superluminal neutrinos from Lorentz-violating dimension-5 operators
- Exploration of Possible Quantum Gravity Effects with Neutrinos II: Lorentz Violation in Neutrino Propagation
- The Hypothesis of Superluminal Neutrinos: comparing OPERA with other Data
- MINOS Anomaly as A Signal of Lorentz Violation
- Extreme scenarios of new physics in the UHE astrophysical neutrino flavour ratios
Cited by in corpus (208)
- IceCube-Gen2: The Window to the Extreme Universe
- Tests of Lorentz invariance: a 2013 update
- The Giant Radio Array for Neutrino Detection (GRAND): Science and Design
- Fermions with Lorentz-violating operators of arbitrary dimension
- What Do We Know About Lorentz Invariance?
- Testing local Lorentz invariance with gravitational waves
- Quantum Tests of the Einstein Equivalence Principle with the STE-QUEST Space Mission
- New Physics in Astrophysical Neutrino Flavor
- Supernova Neutrino Burst Detection with the Deep Underground Neutrino Experiment
- Bipartite Riemann-Finsler geometry and Lorentz violation
- Constraints on Lorentz violation from gravitational Cherenkov radiation
- Lorentz and CPT tests with hydrogen, antihydrogen, and related systems
- Prospects for Beyond the Standard Model Physics Searches at the Deep Underground Neutrino Experiment
- Short-range gravity and Lorentz violation
- Backgrounds in gravitational effective field theory
- Design and Sensitivity of the Radio Neutrino Observatory in Greenland (RNO-G)
- Lorentz-violating spinor electrodynamics and Penning traps
- Gauge field theories with Lorentz-violating operators of arbitrary dimension
- Neutrino Interferometry for High-Precision Tests of Lorentz Symmetry with IceCube
- Analysis of the consistency of parity-odd nonbirefringent modified Maxwell theory
- Testing Relativity with High-Energy Astrophysical Neutrinos
- Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
- Explicit versus Spontaneous Diffeomorphism Breaking in Gravity
- Test of Lorentz invariance with atmospheric neutrinos
- Signals for Lorentz violation in gravitational waves
- White Paper on New Opportunities at the Next-Generation Neutrino Experiments (Part 1: BSM Neutrino Physics and Dark Matter)
- Static spherical vacuum solutions in the bumblebee gravity model
- Searching for Traces of Planck-Scale Physics with High Energy Neutrinos
- Relativity violations and beta decay
- Classical-physics applications for Finsler space
- Snowmass White Paper: Beyond the Standard Model effects on Neutrino Flavor
- Neutron Star Mergers and How to Study Them
- Polarizations of Gravitational Waves in the Bumblebee Gravity Model
- Lorentz violation in Dirac and Weyl semimetals
- Lorentz violation in the gravity sector: The t puzzle
- Superconducting-Gravimeter Tests of Local Lorentz Invariance
- Modified Dirac equation with Lorentz invariance violation and its solutions for particles in an external magnetic field
- Unitarity in higher-order Lorentz-invariance violating QED
- Extended thermodynamics of the bumblebee black holes
- Asymptotic states and renormalization in Lorentz-violating quantum field theory
- Symmetry violations in nuclear and neutron decay
- Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the Standard-Model Extension
- Lorentz and CPT Tests with Clock-Comparison Experiments
- Tau Neutrinos in the Next Decade: from GeV to EeV
- White Paper and Roadmap for Quantum Gravity Phenomenology in the Multi-Messenger Era
- Bumblebee black holes in light of Event Horizon Telescope observations
- Quantum field theoretic properties of Lorentz-violating operators of nonrenormalizable dimension in the photon sector
- Classical kinematics and Finsler structures for nonminimal Lorentz-violating fermions
- Limits on Neutrino Lorentz Violation from Multimessenger Observations of TXS 0506+056
- First Search for Lorentz and CPT Violation in Double Beta Decay with EXO-200
- Information-Entropic for Travelling Solitons in Lorentz and CPT Breaking Systems
- On calculation of cross sections in Lorentz violating theories
- Testing local Lorentz invariance with short-range gravity
- 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
- Quantum field theoretic properties of Lorentz-violating operators of nonrenormalizable dimension in the fermion sector
- Geometric quantum phases from Lorentz symmetry breaking effects in the cosmic string spacetime
- The Search for Neutrino-Antineutrino Mixing Resulting from Lorentz Invariance Violation using neutrino interactions in MINOS
- Signatures of Ultralight Dark Matter in Neutrino Oscillation Experiments
- Search for Quantum Gravity Using Astrophysical Neutrino Flavour with IceCube
- Vacuum Cherenkov radiation for Lorentz-violating fermions
- Exploring the intrinsic Lorentz-violating parameters at DUNE
- KATRIN: Status and Prospects for the Neutrino Mass and Beyond
- How to Identify Different New Neutrino Oscillation Physics Scenarios at DUNE
- Unitarity Bounds of Astrophysical Neutrinos
- Updated T2K measurements of muon neutrino and antineutrino disappearance using 1.5e21 protons on target
- Search for neutrino-antineutrino oscillations with a reactor experiment
- Quantum field theory based on birefringent modified Maxwell theory
- Eikonal approximation, Finsler structures, and implications for Lorentz-violating photons in weak gravitational fields
- A Landau-type quantization from a Lorentz symmetry violation background with crossed electric and magnetic fields
- Effects of a neutrino-dark energy coupling on oscillations of high-energy neutrinos
- Neutrino oscillations and Lorentz Invariance Violation in a Finslerian Geometrical model
- Thermal aspects of interacting quantum gases in Lorentz-violating scenarios
- On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle
- Radiative corrections and Lorentz violation
- Searches for beyond-Riemann gravity
- Search for Lorentz and CPT violation using sidereal time dependence of neutrino flavor transitions over a short baseline
- Hamiltonian formulation of an effective modified gravity with nondynamical background fields
- Lorentz-violating dimension-five operator contribution to the black body radiation
- Unitarity in a Lorentz symmetry breaking model with higher-order operators
- Neutrino vs. Antineutrino Oscillation Parameters at DUNE and Hyper-Kamiokande
- Higher-order Lorentz-invariance violation, quantum gravity and fine-tuning
- Classical kinematics for isotropic, minimal Lorentz-violating fermion operators
- Neutrinos as probes of Lorentz invariance
- From Generalized Dirac Equations to a Candidate for Dark Energy
- Lorentz-violating modification of Dirac theory based on spin-nondegenerate operators
- Tests of Lorentz invariance at the Sudbury Neutrino Observatory
- Lorentz violation in a uniform newtonian gravitational field
- Induced higher-derivative Lorentz-violating Chern-Simons term at finite temperature
- Implications of ultra-high energy neutrino flux constraints for Lorentz-invariance violating cosmogenic neutrinos
- Homogeneously Modified Special Relativity (HMSR) -- A new possible way to introduce an isotropic Lorentz Invariance Violation in particle Standard Model
- Looking for Lorentz invariance violation (LIV) in the latest long baseline accelerator neutrino oscillation data
- Lorentz and CPT tests with charge-to-mass ratio comparisons in Penning traps
- Limits on CPT violation from solar neutrinos
- Neutrino Oscillations and Lorentz Invariance Violation
- Testing Lorentz invariance and CPT symmetry using gamma-ray burst neutrinos
- Searching for CPT Violation with Neutral-Meson Oscillations
- Testing Lorentz and CPT invariance with neutrinos
- Fermion observables for Lorentz violation
- Tests of Lorentz and CPT symmetry with hadrons and nuclei
- 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
- Dynamic instability analysis for bumblebee black holes: the odd parity
- Neutrino Beam Constraints on Flavor-Diagonal Lorentz Violation
- First-order classical Lagrangians for the nonminimal Standard-Model Extension
- Classical Lagrangians for the nonminimal Standard-Model Extension at higher orders in Lorentz violation
- Testing Violations of Lorentz Invariance with Cosmic Rays
- Lorentz Violation in the Higgs Sector and Noncommutative Standard Model
- Exploring the effect of Lorentz invariance violation with the currently running long-baseline experiments
- Influence of a Kalb-Ramond black hole on neutrino behavior
- Limiting Superluminal Neutrino Velocity and Lorentz Invariance Violation by Neutrino Emission from the Blazar TXS 0506+056
- Can Lorentz Invariance Violation affect the Sensitivity of Deep Underground Neutrino Experiment?
- Implications of gauge invariance for constraints on Lorentz violation
- From classical Lagrangians to Hamilton operators in the Standard-Model Extension
- T2K measurements of muon neutrino and antineutrino disappearance using protons on target
- Limiting Lorentz Violation from Neutron--Antineutron Oscillation
- Phenomenological Effects of CPT and Lorentz Invariance Violation in Particle and Astroparticle Physics
- Probing Beyond the Standard Model Physics with Double-beta Decays
- Lorentz symmetry breaking effects on relativistic EPR correlations
- Testing CPT violation with correlated neutral mesons
- Lorentz violation and higher-derivative gravity
- Myers-Pospelov Model as an Ensemble of Pais-Uhlenbeck Oscillators: Unitarity and Lorentz Invariance Violation
- IceCube's astrophysical neutrino energy spectrum from CPT violation
- A review of the tension between the T2K and NOA appearance data and hints to new physics
- Weighing the Neutrino
- Distinguishing Non-Standard Interaction and Lorentz Invariance Violation at Protvino to Super-ORCA experiment
- Unitarity and Lee-Wick prescription at one loop level in the effective Myers-Pospelov electrodynamics: the annihilation
- Optical-Cavity Limits on Higher-Order Lorentz Violation
- Lorentz-violating extension of the spin-one Duffin-Kemmer-Petiau equation
- Lorentz invariance violation in the neutrino sector: a joint analysis from big bang nucleosynthesis and the cosmic microwave background
- Probing Lorentz Invariance Violation with Atmospheric Neutrinos at INO-ICAL
- Electromagnetism with dimension-five operators
- Flavors of Astrophysical Neutrinos with Active-Sterile Mixing
- Investigating the effects of Lorentz Invariance Violation on the CP-sensitivities of the Deep Underground Neutrino Experiment
- Neutrino Splitting for Lorentz-Violating Neutrinos: Detailed Analysis
- Neutrino refraction by the cosmic neutrino background
- Fermionic Lorentz violation and its implications for interferometric gravitational-wave detection
- Coupled scalar fields Oscillons and Breathers in some Lorentz Violating Scenarios
- Classical Lagrangians for the nonminimal spin-nondegenerate Standard-Model Extension at higher orders in Lorentz violation
- Ultrarelativistic Decoupling Transformation for Generalized Dirac Equations
- Dimensional reduction of the electromagnetic sector of the nonminimal Standard-Model-Extension
- Investigating Lorentz Violation with the long baseline experiment P2O
- 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
- Renormalization in a Lorentz-violating model and higher-order operators
- Tests of Lorentz symmetry in single beta decay
- Lorentz-violating matter-gravity couplings in small-eccentricity binary pulsars
- Lorentz-violating scalar Hamiltonian and equivalence principle in a static metric
- The 4D-2D projection of Lorentz-violating Myers-Pospelov QED
- Effects of the Violation of the Equivalence Principle at DUNE
- Lepton-pair Cerenkov radiation emitted by tachyonic neutrinos: Lorentz-covariant approach and IceCube data
- Lorentz and CPT Violation in Partons
- Sterile neutrinos with altered dispersion relations revisited
- Constraining Lorentz Invariance Violation with Next-Generation Long-Baseline Experiments
- Comprehensive study of Lorentz invariance violation in atmospheric and long-baseline experiments
- Non-minimal Lorentz invariance violation in light of muon anomalous magnetic moment and long-baseline neutrino oscillation data
- Lorentz-Violating Regulator Gauge Fields as the Origin of Dynamical Flavour Oscillations
- Neutrino Helicity Reversal and Fundamental Symmetries
- 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
- The point-charge self-energy in a nonminimal Lorentz violating Maxwell Electrodynamics
- Constraining CPT violation with Hyper-Kamiokande and ESSnuSB
- Perturbative unitarity and higher-order Lorentz symmetry breaking
- Discriminating between Lorentz violation and non-standard interactions using core-passing atmospheric neutrinos at INO-ICAL
- Ultra-light Dark Matter Search with Astrophysical Neutrino Flavour
- Squeezing the Parameter Space for Lorentz Violation in the Neutrino Sector by Additional Decay Channels
- Modifications to Plane Gravitational Waves from Minimal Lorentz Violation
- Antimatter, the SME, and Gravity
- Sterile Neutrino Shortcuts in Asymmetrically Warped Extra Dimensions
- Quasi-relativistic fermions and dynamical flavour oscillations
- The Impact of Lorentz Violation on the Klein Tunneling Effect
- Polymer quantization, stability and higher-order time derivative terms
- Formal Developments for Lorentz-Violating Dirac Fermions and Neutrinos
- Observational Constraints on Local Lorentz Invariance
- Model-independent test for CPT violation using long-baseline and atmospheric neutrino experiments
- Lorentz Breaking and SU(2)_L x U(1)_Y Gauge Invariance for Neutrino Decays
- Equations for massless and massive spin-1/2 particles with varying speed and neutrino in matter
- The CPT-violating effects on neutrons' gravitational bound state
- From Dirac theories in curved space-times to a Variation of Dirac's large-number hypothesis
- Nucleosynthesis constraint on Lorentz invariance violation in the neutrino sector
- He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects
- Cosmological constraints on Lorentz invariance violation in the neutrino sector
- Principles for a unified picture of fermions
- Implications of a matter-antimatter mass asymmetry in Penning-trap experiments
- On massless and spinless particles with varying speed
- Prospects for testing CPT and Lorentz symmetry with deuterium ground-state Zeeman-hyperfine transitions
- Gravitational Correction to Vacuum Polarization
- Constraining the isotropic CPT-odd coefficients of the Standard Model Extension by a combined DUNE and ESSnuSB analysis
- Vacuum polarization in Yang-Mills theories with Lorentz violation
- Investigating Lorentz Invariance Violation Effects on CP Violation and Mass Hierarchy sensitivity at DUNE
- Search for the Footprints of New Physics with Laboratory and Cosmic Neutrinos
- Tree-level unitarity, causality and higher-order Lorentz and CPT violation
- Nonminimal Lorentz Violation in Macroscopic Matter
- Probing Lorentz Invariance Violation with Neutrino Factories
- Perturbative S-matrix unitarity and higher-order Lorentz violation
- No Flavor Anisotropy in the High-Energy Neutrino Sky Upholds Lorentz Invariance
- Closing the Neutrino "BSM Gap": Physics Potential of Atmospheric Through-Going Muons at DUNE
- Fermions in -dimensions modified by nonminimal coupling and its applications to condensed matter physics
- Antimatter-Gravity Couplings, and Lorentz Symmetry
- Neutrino Pair Cerenkov Radiation for Tachyonic Neutrinos
- Coupling Right- and Left-Handed Photons Differently to Charged Matter
- Nonrelativistic Yang-Mills Theory for a Naturally Light Higgs Boson
- Pushing the Energy and Cosmic Frontiers with High-Energy Astrophysical Neutrinos
- Lorentz symmetry and high-energy neutrino astronomy
- Bounds on Lorentz and CPT violation from the - transition in antihydrogen