Lorentz violating extension of the Standard Model and the Beta-decay end-point

Abstract

The Standard Model extension with additional Lorentz violating terms allows for redefining the equation of motion of a propagating left-handed fermionic particle. The obtained Dirac-type equation can be embedded in a generalized Lorentz-invariance preserving-algebra through the definition of Lorentz algebra-like generators with a light-like preferred axis. The resulting modification to the fermionic equation of motion introduces some novel ingredients to the phenomenological analysis of the cross section of the tritium $\beta$-decay. Assuming lepton number conservation, our formalism provides a natural explanation for the tritium $\beta$-decay end-point via an effective neutrino mass term without the need of a sterile right-handed state.

13 pages, 1 figure

References in corpus (32)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• High-Energy Tests of Lorentz Invariance
• Nonstandard optics from quantum spacetime
• Testable scenario for Relativity with minimum-length
• Correlation of the highest energy cosmic rays with nearby extragalactic objects
• CPT, Strings, and Meson Factories
• Quantum gravity corrections to neutrino propagation
• Cosmic Ray and Neutrino Tests of Special Relativity
• Doubly Special Relativity
• Planck-scale deformation of Lorentz symmetry as a solution to the UHECR and the TeV-$\gamma$ paradoxes
• Very Special Relativity
• Lorentz and CPT Violation in Neutrinos
• Expectation Values, Lorentz Invariance, and CPT in the Open Bosonic String
• Neutrinoless double beta decay from a modern perspective
• CPT Violation and Baryogenesis
• Absolute Values of Neutrino Masses: Status and Prospects
• Primordial Magnetic Fields via Spontaneous Breaking of Lorentz Invariance
• Proposed astrophysical test of Lorentz invariance
• Models of Baryogenesis via Spontaneous Lorentz Violation
• Flavor and chiral oscillations with Dirac wave packets
• Concerning the generalized Lorentz symmetry and the generalization of the Dirac equation
• Testing Lorentz invariance violations in the tritium beta-decay anomaly
• Lorentz Symmetry Derived from Lorentz Violation in the Bulk
• Kappa - Poincare dispersion relations and the black hole radiation
• Obtaining the equation of motion for a fermionic particle in a generalized Lorentz-violating system framework
• Lorentz-violating dilatations in the momentum space and some extensions on non-linear actions of Lorentz algebra-preserving systems
• Dynamics of chiral oscillations - A comparative analysis with spin-flipping
• Dirac neutrino mass from the beta decay end-point modified by the dynamics of a Lorentz-violating equation of motion
• Flavor coupled with chiral oscillations in the presence of an external magnetic field
• The construction of Dirac wave packets for a fermionic particle non-minimally coupling with an external magnetic field

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• Neutrinos with Lorentz-violating operators of arbitrary dimension
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• Lorentz- and CPT-violating models for neutrino oscillations
• Relativity violations and beta decay
• Three-parameter Lorentz-violating texture for neutrino mixing
• Neutrinos as probes of Lorentz invariance
• Possible scenario for MaVaN's as the only neutrino flavor conversion mechanism in the Sun
• Testing the interaction of dark energy to dark matter through the analysis of virial relaxation of clusters Abell Clusters A586 and A1689 using realistic density profiles
• D-Oscillons in the Standard Model-Extension
• MINOS Anomaly as A Signal of Lorentz Violation
• CPT invariance and neutrino physics
• An Arena for Model Building in the Cohen-Glashow Very Special Relativity
• Asymmetric particle-antiparticle Dirac equation: first quantization