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

TL;DR

This paper explores a Lorentz-violating extension of the Standard Model that modifies fermionic equations of motion, offering a new explanation for tritium beta-decay end-point phenomena without requiring sterile neutrinos.

Contribution

It introduces a Lorentz-violating framework embedding modified fermionic equations into a generalized algebra, providing a novel phenomenological approach to beta-decay analysis.

Findings

Provides a Lorentz-violating formalism for fermions

Explains beta-decay end-point via effective neutrino mass

Avoids need for sterile neutrino states

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.