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

Abstract

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.

Authors:
 [1]
  1. Dipartimento di Fisica 'Enrico Fermi', Universita di Pisa, Largo Pontecorvo 3, I-56127 Pisa (Italy) and INFN, Sezione di Pisa, Pisa (Italy)
Publication Date:
OSTI Identifier:
21259843
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 79; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.79.025017; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Anselmi, Damiano. Weighted power counting, neutrino masses, and Lorentz violating extensions of the standard model. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.79.025017.
Anselmi, Damiano. Weighted power counting, neutrino masses, and Lorentz violating extensions of the standard model. United States. https://doi.org/10.1103/PHYSREVD.79.025017
Anselmi, Damiano. 2009. "Weighted power counting, neutrino masses, and Lorentz violating extensions of the standard model". United States. https://doi.org/10.1103/PHYSREVD.79.025017.
@article{osti_21259843,
title = {Weighted power counting, neutrino masses, and Lorentz violating extensions of the standard model},
author = {Anselmi, Damiano},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.79.025017},
url = {https://www.osti.gov/biblio/21259843}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 2,
volume = 79,
place = {United States},
year = {Thu Jan 15 00:00:00 EST 2009},
month = {Thu Jan 15 00:00:00 EST 2009}
}