Squeezing the Parameter Space for Lorentz Violation in the Neutrino Sector by Additional Decay Channels
arXiv:2009.11947 · doi:10.3390/particles3030041
Abstract
The hypothesis of Lorentz violation in the neutrino sector has intrigued scientists for the last two to three decades. A number of theoretical arguments support the emergence of such violations first and foremost for neutrinos, which constitute the "most elusive" and "least interacting" particles known to mankind. It is of obvious interest to place stringent bounds on the Lorentz-violating parameters in the neutrino sector. In the past, the most stringent bounds have been placed by calculating the probability of neutrino decay into a lepton pair, a process made kinematically feasible by Lorentz violation in the neutrino sector, above a certain threshold. However, even more stringent bounds can be placed on the Lorentz-violating parameters if one takes into account, additionally, the possibility of neutrino splitting, i.e., of neutrino decay into a neutrino of lower energy, accompanied by "neutrino-pair Cerenkov radiation". This process has negligible threshold and can be used to improve the bounds on Lorentz-violating parameters in the neutrino sector. Finally, we take the opportunity to discuss the relation of Lorentz and gauge symmetry breaking, with a special emphasis on the theoretical models employed in our calculations.
arXiv comment16 pages; LaTeX
References in corpus (50)
- Lorentz-Violating Extension of the Standard Model
- Gravity, Lorentz Violation, and the Standard Model
- Lorentz invariance with an invariant energy scale
- High-Energy Tests of Lorentz Invariance
- Observation of High-Energy Astrophysical Neutrinos in Three Years of IceCube Data
- First observation of PeV-energy neutrinos with IceCube
- Gravity's Rainbow
- Stability, Causality, and Lorentz and CPT Violation
- Electrodynamics with Lorentz-violating operators of arbitrary dimension
- Tests of Lorentz invariance: a 2013 update
- The principle of relative locality
- Neutrinos with Lorentz-violating operators of arbitrary dimension
- Fermions with Lorentz-violating operators of arbitrary dimension
- Planck-scale modified dispersion relations and Finsler geometry
- What Do We Know About Lorentz Invariance?
- New Constraints on Neutrino Velocities
- Causality and CPT violation from an Abelian Chern-Simons-like term
- Measurement of neutrino velocity with the MINOS detectors and NuMI neutrino beam
- Perturbative Lorentz and CPT violation for neutrino and antineutrino oscillations
- Consistency of isotropic modified Maxwell theory: Microcausality and unitarity
- Analysis of the consistency of parity-odd nonbirefringent modified Maxwell theory
- Testing Relativity with High-Energy Astrophysical Neutrinos
- Searching for Traces of Planck-Scale Physics with High Energy Neutrinos
- Causality and stability for Lorentz-CPT violating electrodynamics with dimension-5 operators
- Propagation of Superluminal PeV IceCube Neutrinos: A High Energy Spectral Cutoff or New Constraints on Lorentz Invariance Violation
- Lorentz Invariance and Origin of Symmetries
- Constraining Superluminal Electron and Neutrino Velocities using the 2010 Crab Nebula Flare and the IceCube PeV Neutrino Events
- How to generate families of spinors
- Microcausality in Curved Space-Time
- Nonlinear QED and Physical Lorentz Invariance
- Quantum field theory based on birefringent modified Maxwell theory
- Neutrino oscillations and Lorentz Invariance Violation in a Finslerian Geometrical model
- Spontaneous Lorentz Violation: Non-Abelian Gauge Fields as Pseudo-Goldstone Vector Bosons
- Deriving Gauge Symmetry and Spontaneous Lorentz Violation
- Constrained Gauge Fields from Spontaneous Lorentz Violation
- Model dependence of the bremsstrahlung effects from the superluminal neutrino at OPERA
- Nonrelativistic Limit of the Dirac-Schwarzschild Hamiltonian: Gravitational Zitterbewegung and Gravitational Spin-Orbit Coupling
- Neutrinos as probes of Lorentz invariance
- Spontaneously Generated Gauge Invariance
- Homogeneously Modified Special Relativity (HMSR) -- A new possible way to introduce an isotropic Lorentz Invariance Violation in particle Standard Model
- Neutrino Oscillations and Lorentz Invariance Violation
- CPT/Lorentz Invariance Violation and Neutrino Oscillation
- Can the spin-charge-family theory explain baryon number non conservation?
- Weighing the Neutrino
- Neutrino Splitting for Lorentz-Violating Neutrinos: Detailed Analysis
- Gravitational Effects in g Factor Measurements and High-Precision Spectroscopy: Limits of Einstein's Equivalence Principle
- Calculation of the Decay Rate of Tachyonic Neutrinos against Charged-Lepton-Pair and Neutrino-Pair Cerenkov Radiation
- The spin-charge-family theory offers understanding of the triangle anomalies cancellation in the standard model
- Lorentz Breaking and SU(2)_L x U(1)_Y Gauge Invariance for Neutrino Decays
- Hamilton Geometry - Phase Space Geometry from Modified Dispersion Relations