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 (4)

• Very Special Relativity
• Lorentz Symmetry Derived from Lorentz Violation in the Bulk
• Lorentz-violating dilatations in the momentum space and some extensions on non-linear actions of Lorentz algebra-preserving systems
• The construction of Dirac wave packets for a fermionic particle non-minimally coupling with an external magnetic field

Cited by in corpus (3)

• Perturbative Lorentz and CPT violation for neutrino and antineutrino oscillations
• MINOS Anomaly as A Signal of Lorentz Violation
• CPT invariance and neutrino physics