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arXiv · 0802.2199

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

Alex E. Bernardini·O. Bertolami
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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 $β$-decay. Assuming lepton number conservation, our formalism provides a natural explanation for the tritium $β$-decay end-point via an effective neutrino mass term without the need of a sterile right-handed state.

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Alex E. Bernardini, O. Bertolami. 2008-04-20. Lorentz violating extension of the Standard Model and the Beta-decay end-point. https://doi.org/10.1103/physrevd.77.085032

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