Generational structure of models with dynamical symmetry breaking

Journal Article · Tue Jun 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.115013· OSTI ID:21408003

Ryttov, Thomas A; Shrock, Robert ^[1]

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1. C. N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, New York 11794 (United States)

In models with dynamical electroweak symmetry breaking, this breaking is normally communicated to quarks and leptons by a set of vector bosons with masses generated via sequential breaking of a larger gauge symmetry. In reasonably ultraviolet-complete theories of this type, the number of stages of breaking of the larger gauge symmetry is usually equal to the observed number of quark and lepton generations, N{sub gen}=3. Here we investigate the general question of how the construction and properties of these models depend on N{sub gen}, regarded as a variable. We build and analyze models with illustrative values of N{sub gen} different from 3 (namely N{sub gen}=1,2,4) that exhibit the necessary sequential symmetry breaking down to a strongly coupled sector that dynamically breaks electroweak symmetry. Our results for variable N{sub gen} show that one can robustly obtain, for this latter sector, a theory with a gauge coupling that is large but slowly running, controlled by an approximate infrared fixed point of the renormalization group. Owing to this, we find that for all of the values of N{sub gen} considered, standard-model fermions of the highest generation have masses that can be comparable to the electroweak-symmetry-breaking scale. We also study the interplay of multiple strongly coupled gauge symmetries in these models.

• OSTI ID: 21408003
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 11; Other Information: DOI: 10.1103/PhysRevD.81.115013; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
BOSONS
COUPLING
GAUGE INVARIANCE
INTERMEDIATE VECTOR BOSONS
LEPTONS
MASS
QUARKS
RENORMALIZATION
SIMULATION
STANDARD MODEL
STRONG-COUPLING MODEL
SYMMETRY
SYMMETRY BREAKING
WEINBERG-SALAM GAUGE MODEL
CALCULATION METHODS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GRAND UNIFIED THEORY
INTERMEDIATE BOSONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES