Low-energy phenomenology of scalarless standard-model extensions with high-energy Lorentz violation
- Institute of High Energy Physics, Chinese Academy of Sciences, 19 (B) Yuquanlu, Shijingshanqu, Beijing 10049 (China)
- Dipartimento di Fisica 'Enrico Fermi', Universita di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa (Italy)
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.
- OSTI ID:
- 21537463
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 83, Issue 5; Other Information: DOI: 10.1103/PhysRevD.83.056005; (c) 2011 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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EXPANSION
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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
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UNIFIED GAUGE MODELS