Left-right-symmetric electroweak models with triplet Higgs field

Journal Article · Thu Aug 01 00:00:00 EDT 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.837· OSTI ID:5267355

Deshpande, N G ^[1]; Gunion, J F ^[2]; Kayser, B ^[3]; Olness, F ^[1]

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1. Institute of Theoretical Science, University of Oregon, Eugene, OR (USA)
2. Department of Physics, University of California-Davis, Davis, CA (USA)
3. National Science Foundation, Division of Physics, Washington, DC (USA)

We examine the predictions of the conventional SU(2){sub {ital L}}{direct product}SU(2){sub {ital R}}{direct product}U(1){sub {ital B}{minus}{ital L}} left-right-symmetric model in the case where the minimal Higgs sector (containing one bidoublet, one {ital L}-triplet, and one {ital R}-triplet Higgs field) and the standard lepton representations (incorporating right-handed partners for the observed neutrinos) are adopted. We show that a complete analysis of spontaneous symmetry breaking for the Higgs sector leads to a highly restrictive range of possibilities for global minima that are simultaneously consistent with all experimental observations (such as lepton masses, {ital K}{sub {ital L}}-{ital K}{sub {ital S}} mixing, etc.). As a result, the possible phenomenologies for the gauge and Higgs bosons of the model are very limited. For instance, we demonstrate that in the absence of explicit {ital CP} violation in the Higgs potential, spontaneous {ital CP} violation does not arise and the fermion couplings exhibit manifest'' left-right symmetry. Further, we find no entirely natural solutions other than ones in which all of the extra (non-standard-model) gauge and Higgs bosons associated with the left-right-symmetric extension are extremely heavy (typically, more massive than 10{sup 7} GeV). Only by fine-tuning'' certain parameters of the Higgs potential is it possible to bring these extra particles down to an observable mass scale. Alternatively, symmetries can be introduced to eliminate the terms in the Higgs potential associated with these parameters, but only at the sacrifice of introducing undesirable consequences for fermion masses. Many of the pitfalls and problems are illustrated using a simplified model. Overall, we emphasize the necessity of performing a complete minimization of the Higgs sector {ital before} extracting phenomenology.

• DOE Contract Number: FG06-85ER40224; AT03-76ER71019; AC03-76SF00098
• OSTI ID: 5267355
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 44:3; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
STANDARD MODEL
SU-2 GROUPS
HIGGS BOSONS
SYMMETRY BREAKING
Z NEUTRAL BOSONS
BOSONS
ELEMENTARY PARTICLES
INTERMEDIATE BOSONS
INTERMEDIATE VECTOR BOSONS
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
SU GROUPS
SYMMETRY GROUPS
UNIFIED GAUGE MODELS
645202* - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties
645203 - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties
645300 - High Energy Physics- Particle Invariance Principles & Symmetries