Dirac neutrino mass from the beta decay end-point modified by the dynamics of a Lorentz-violating equation of motion

Abstract

Using a generalized procedure for obtaining the equation of motion of a propagating fermionic particle, we examine previous claims for a lightlike preferred axis embedded in the framework of Lorentz-invariance violation with preserved algebra. In a high energy scale, the corresponding equation of motion is reduced to a conserving lepton number chiral (VSR) equation, and in a low energy scale, the Dirac equation for a free is recovered. The new dynamics introduces some novel ingredients (modified cross section) to the phenomenology of the tritium beta decay end-point.

11 pages, 4 figures

References in corpus (5)

• Signals for Lorentz Violation in Post-Newtonian Gravity
• Very Special Relativity
• Lorentz Symmetry Derived from Lorentz Violation in the Bulk
• A Three-Flavor, Lorentz-Violating Solution to the LSND Anomaly
• Lorentz-violating dilatations in the momentum space and some extensions on non-linear actions of Lorentz algebra-preserving systems

Cited by in corpus (10)

• Modified Dirac equation with Lorentz invariance violation and its solutions for particles in an external magnetic field
• Noncommutative Spacetime in Very Special Relativity
• Lorentz violating extension of the Standard Model and the Beta-decay end-point
• Obtaining the equation of motion for a fermionic particle in a generalized Lorentz-violating system framework
• k-deformed Poincare algebras and quantum Clifford-Hopf algebras
• The role of singular spinor fields in a torsional gravity, Lorentz-violating, framework
• The E(2) Particle
• CPT invariance and neutrino physics
• Asymmetric particle-antiparticle Dirac equation: first quantization
• Vacuum polarization and induced Maxwell and Kalb-Ramond effective action in very special relativity