Triplet Higgs Fields Research Articles

Left-right-symmetric electroweak models with triplet Higgs field.

We examine the predictions of the conventional SU(2${)}_{\mathit{L}}$\ensuremath{\bigotimes}SU(2${)}_{\mathit{R}}$\ensuremath{\bigotimes}U(1${)}_{\mathit{B}\mathrm{\ensuremath{-}}\mathit{L}}$ left-right-symmetric model in the case where the minimal Higgs sector (containing one bidoublet, one L-triplet, and one 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, ${\mathit{K}}_{\mathit{L}}$-${\mathit{K}}_{\mathit{S}}$ 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 CP violation in the Higgs potential, spontaneous 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 ${10}^{7}$ 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 before extracting phenomenology.

The renormalization flow in the adjoint SU(2) lattice Higgs model

Applying the Monte Carlo renormalization group method we investigate the flow of coupling constants for the 8 4 and 16 4 SU(2) lattice Higgs model with triplet Higgs fields. The couplings of the renormalized actions are determined using Schwinger-Dyson equations. From the flow we find new evidence for the existence of a tricritical point at finite values of the inverse gauge coupling β but no indication for a discontinuity fixed point.

Exploratory Monte Carlo renormalization group study of the adjoint SU(2)-gauge Higgs model

The four-dimensional lattice SU(2) gauge system with triplet Higgs fields is investigated. A short discussion of the phase structure is given. The first results of a Monte Carlo block-spin RG investigation (with transformations from a 8 4 to a 4 4 lattice) for the flow of coupling constrats are presented.

The SU(2) adjoint Higgs model: Phase structure by mean field approximations

The four-dimensional lattice SU(2) gauge system with triplet Higgs fields of variable length is investigated. The phase diagram of this model in the parameter space of its three couplings is constructed applying the mean field method. Different approximations are studied, which are supposed to be reliable either for small or large gauge coupling. Finally, the resulting phase structure is compared with data obtained by Monte Carlo simulations.

Symmetry Breaking in O(3) Gauge Theories with 3-Triplet Models of Hadrons

SU(3)- and SU(3)\ensuremath{'}-symmetry breaking of the zeroth-order mass matrix is studied in a spontaneously broken O(3) gauge-invariant theory of weak and electromagnetic interactions in which Han-Nambu quarks are used to incorporate hadronic weak and electromagnetic processes. The lepton sector is the Georgi-Glashow model. O(3)-symmetry breaking is induced by a single triplet Higgs field. It is shown that various symmetries can be achieved, such as SU(3), SU(2) \ifmmode\times\else\texttimes\fi{} SU(2)\ensuremath{'}, and parity, only if zeroth-order massless quarks are tolerated.