Weighted power counting, neutrino masses, and Lorentz violating extensions of the standard model

Journal Article · Thu Jan 15 00:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.025017· OSTI ID:21259843

Anselmi, Damiano ^[1]

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1. Dipartimento di Fisica 'Enrico Fermi', Universita di Pisa, Largo Pontecorvo 3, I-56127 Pisa (Italy) and INFN, Sezione di Pisa, Pisa (Italy)

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){sup 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.

• OSTI ID: 21259843
• Journal Information: Physical Review. D, Particles Fields, Vol. 79, Issue 2; Other Information: DOI: 10.1103/PhysRevD.79.025017; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CANCELLATION
CP INVARIANCE
ENERGY RECOVERY
FERMI INTERACTIONS
FIELD THEORIES
GAUGE INVARIANCE
LORENTZ INVARIANCE
MAJORANA THEORY
MASS
NEUTRINOS
POLYNOMIALS
RENORMALIZATION
STANDARD MODEL
SYMMETRY BREAKING