Weighted power counting, neutrino masses and Lorentz violating extensions of the Standard Model

Details Weighted power counting, neutrino masses and Lorentz violating extensions of the Standard Model Weighted power counting, neutrino masses and Lorentz violating extensions of the Standard Model

2008-08-26

arxiv.org/abs/0808.3475v2

Phys.Rev.D79:025017,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages; v2: more references and comments, PRD

Scientific paper

10.1103/PhysRevD.79.025017

We study the Standard-Model extensions that have the following features: they violate Lorentz invariance explicitly at high energies; they are unitary, local, polynomial and renormalizable by weighted power counting; they contain the vertex (LH)^2, which gives Majorana masses to the neutrinos after symmetry breaking, and possibly four fermion interactions; they do not contain right-handed neutrinos, nor other extra fields. We study the simplest CPT invariant Standard-Model extension of this type in detail and prove the cancellation of gauge anomalies. We investigate the low-energy recovery of Lorentz invariance and comment on other types of extensions.

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