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Title: Low-energy phenomenology of scalarless standard-model extensions with high-energy Lorentz violation

Abstract

We consider renormalizable standard model extensions that violate Lorentz symmetry at high energies, but preserve CPT, and do not contain elementary scalar fields. A Nambu-Jona-Lasinio mechanism gives masses to fermions and gauge bosons and generates composite Higgs fields at low energies. We study the effective potential at the leading order of the large-N{sub c} expansion, prove that there exists a broken phase, and study the phase space. In general, the minimum may break invariance under boosts, rotations, and CPT, but we give evidence that there exists a Lorentz invariant phase. We study the spectrum of composite bosons and the low-energy theory in the Lorentz phase. Our approach predicts relations among the parameters of the low-energy theory. We find that such relations are compatible with the experimental data within theoretical errors. We also study the mixing among generations, the emergence of the CKM matrix, and neutrino oscillations.

Authors:
 [1];  [2]
  1. Institute of High Energy Physics, Chinese Academy of Sciences, 19 (B) Yuquanlu, Shijingshanqu, Beijing 10049 (China)
  2. Dipartimento di Fisica 'Enrico Fermi', Universita di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa (Italy)
Publication Date:
OSTI Identifier:
21537463
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 83; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevD.83.056005; (c) 2011 American Institute of Physics; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; EXPANSION; FERMIONS; HIGGS BOSONS; HIGGS MODEL; KOBAYASHI-MASKAWA MATRIX; LORENTZ INVARIANCE; MASS; NEUTRINO OSCILLATION; PHASE SPACE; SCALAR FIELDS; SPECTRA; STANDARD MODEL; SYMMETRY; BOSONS; ELEMENTARY PARTICLES; FIELD THEORIES; GRAND UNIFIED THEORY; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; MATHEMATICAL SPACE; MATRICES; PARTICLE MODELS; POSTULATED PARTICLES; QUANTUM FIELD THEORY; SPACE; UNIFIED GAUGE MODELS

Citation Formats

Anselmi, Damiano, Dipartimento di Fisica 'Enrico Fermi', Universita di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa, Ciuffoli, Emilio, and INFN, Sezione di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa. Low-energy phenomenology of scalarless standard-model extensions with high-energy Lorentz violation. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.83.056005.
Anselmi, Damiano, Dipartimento di Fisica 'Enrico Fermi', Universita di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa, Ciuffoli, Emilio, & INFN, Sezione di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa. Low-energy phenomenology of scalarless standard-model extensions with high-energy Lorentz violation. United States. https://doi.org/10.1103/PHYSREVD.83.056005
Anselmi, Damiano, Dipartimento di Fisica 'Enrico Fermi', Universita di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa, Ciuffoli, Emilio, and INFN, Sezione di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa. 2011. "Low-energy phenomenology of scalarless standard-model extensions with high-energy Lorentz violation". United States. https://doi.org/10.1103/PHYSREVD.83.056005.
@article{osti_21537463,
title = {Low-energy phenomenology of scalarless standard-model extensions with high-energy Lorentz violation},
author = {Anselmi, Damiano and Dipartimento di Fisica 'Enrico Fermi', Universita di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa and Ciuffoli, Emilio and INFN, Sezione di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa},
abstractNote = {We consider renormalizable standard model extensions that violate Lorentz symmetry at high energies, but preserve CPT, and do not contain elementary scalar fields. A Nambu-Jona-Lasinio mechanism gives masses to fermions and gauge bosons and generates composite Higgs fields at low energies. We study the effective potential at the leading order of the large-N{sub c} expansion, prove that there exists a broken phase, and study the phase space. In general, the minimum may break invariance under boosts, rotations, and CPT, but we give evidence that there exists a Lorentz invariant phase. We study the spectrum of composite bosons and the low-energy theory in the Lorentz phase. Our approach predicts relations among the parameters of the low-energy theory. We find that such relations are compatible with the experimental data within theoretical errors. We also study the mixing among generations, the emergence of the CKM matrix, and neutrino oscillations.},
doi = {10.1103/PHYSREVD.83.056005},
url = {https://www.osti.gov/biblio/21537463}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 5,
volume = 83,
place = {United States},
year = {Tue Mar 01 00:00:00 EST 2011},
month = {Tue Mar 01 00:00:00 EST 2011}
}