Leftrightsymmetric electroweak models with triplet Higgs field
Abstract
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}} leftrightsymmetric 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 righthanded 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'' leftright symmetry. Further, we find no entirely natural solutions other than ones in which all of the extra (nonstandardmodel) gauge and Higgs bosons associated with the leftrightsymmetric extension are extremely heavy (typically, more massive than 10{sup 7} GeV). Only by finetuning'' certain parameters of the Higgs potential is it possible to bring thesemore »
 Authors:

 Institute of Theoretical Science, University of Oregon, Eugene, OR (USA)
 Department of Physics, University of CaliforniaDavis, Davis, CA (USA)
 National Science Foundation, Division of Physics, Washington, DC (USA)
 Publication Date:
 OSTI Identifier:
 5267355
 DOE Contract Number:
 FG0685ER40224; AT0376ER71019; AC0376SF00098
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review, D (Particles Fields); (United States)
 Additional Journal Information:
 Journal Volume: 44:3; Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; STANDARD MODEL; SU2 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 & PropertiesTheoretical Electromagnetic Interactions & Properties; 645203  High Energy Physics Particle Interactions & PropertiesTheoretical Weak Interactions & Properties; 645300  High Energy Physics Particle Invariance Principles & Symmetries
Citation Formats
Deshpande, N G, Gunion, J F, Kayser, B, and Olness, F. Leftrightsymmetric electroweak models with triplet Higgs field. United States: N. p., 1991.
Web. doi:10.1103/PhysRevD.44.837.
Deshpande, N G, Gunion, J F, Kayser, B, & Olness, F. Leftrightsymmetric electroweak models with triplet Higgs field. United States. doi:10.1103/PhysRevD.44.837.
Deshpande, N G, Gunion, J F, Kayser, B, and Olness, F. Thu .
"Leftrightsymmetric electroweak models with triplet Higgs field". United States. doi:10.1103/PhysRevD.44.837.
@article{osti_5267355,
title = {Leftrightsymmetric electroweak models with triplet Higgs field},
author = {Deshpande, N G and Gunion, J F and Kayser, B and Olness, F},
abstractNote = {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}} leftrightsymmetric 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 righthanded 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'' leftright symmetry. Further, we find no entirely natural solutions other than ones in which all of the extra (nonstandardmodel) gauge and Higgs bosons associated with the leftrightsymmetric extension are extremely heavy (typically, more massive than 10{sup 7} GeV). Only by finetuning'' 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.},
doi = {10.1103/PhysRevD.44.837},
journal = {Physical Review, D (Particles Fields); (United States)},
issn = {05562821},
number = ,
volume = 44:3,
place = {United States},
year = {1991},
month = {8}
}