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

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

2008-02-15

arxiv.org/abs/0802.2199v2

Phys. Rev. D77 (2008) 085032

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 1 figure

Scientific paper

10.1103/PhysRevD.77.085032

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.

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