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

TL;DR

This paper explores how Lorentz-violating dynamics affect the Dirac neutrino mass and beta decay end-point measurements, revealing potential modifications to decay phenomenology at different energy scales.

Contribution

It introduces a generalized fermionic equation of motion that interpolates between VSR and Dirac equations, impacting beta decay phenomenology.

Findings

Modified cross section in beta decay end-point

Reduction to VSR equation at high energies

Recovery of Dirac equation at low energies

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.