Conditions for certain Higgs potentials to be bounded below
Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 1, pp. 87-96
Necessary and sufficient conditions are obtained for Higgs potentials to be bounded below when they are constructed from: 1) two doublets, and also two doublets and a singlet of $SU(2)$, 2) the adjoint and vector representations of $SO(n)$. For a potential constructed from the adjoint and fundamental multiplets of $SU(n)$, the problem of necessary and sufficient conditions has been only partly solved.
@article{TMF_1985_62_1_a5,
author = {K. G. Klimenko},
title = {Conditions for certain {Higgs} potentials to be bounded below},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {87--96},
year = {1985},
volume = {62},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a5/}
}
K. G. Klimenko. Conditions for certain Higgs potentials to be bounded below. Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 1, pp. 87-96. http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a5/
[1] Mohapatra R. N., Senjanović G., Phys. Rev., D20:12 (1979), 3390–3398
[2] Langacker P., Pi S.-Y., Phys. Rev. Lett., 45:1 (1980), 1–4 | DOI
[3] Parke S., Pi S-Y., Phys. Lett., B107:1 (1981), 54–58 | DOI
[4] Hüffel H., Pócsik G., Z. Phys., C8:1 (1981), 13–15
[5] Klimenko K. G., TMF, 55:1 (1983), 44–54 | MR
[6] Buccella F., Ruegg H., Savoy C. A., Nucl. Phys., B169:1 (1980), 68–76 | DOI | MR
[7] Ruegg H., Phys. Rev., D22:8 (1980), 2040–2044
[8] Enqvist K., Maalampi J., Breaking of the $SO(n)$ symmetry with vector and adjoint Higgses, Preprint HU-TFT-80-10, University of Helsinki, 1980