Abstract
Using very general assumptions we find and discuss a large class of unified models with horizontal symmetries. We classify them and show on the basis of renormalisation group equations that the typical horizontal mass scale must be at least 109–1013 GeV, depending on the model. A class of nonsupersymmetric theories with horizontal symmetries is discovered which predicts a proton lifetimeτ p ≧1033 and sin2 θ w ≃0.23. It is also argued that supersymmetric unified models involving horizontal symmetries are unlikely to meet present experimental and theoretical requirements—contrary to ordinary supersymmetric theories without horizontal sector.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
For a review see P. Langacker: Phys. Rep. 72 (1981) 185; G.G. Ross: Grand unified theories. New York: Benjamin 1984; J. Ellis: CERN preprint TH 3802 (1984)
See the second reference in [1] and; R.N. Mohapatra: Unification and supersymmetry, Berlin, Heidelberg, New York: Springer 1986; P. West: Introduction to supersymmetry and supergravity. Singapore: World Scientific 1986; P. Fayet, S. Ferrara: Phys. Rep 32C (1977) 249 P. Langacker: Phys. Rep. 72 (1981) 185)
H. Georgi, S.L. Glashow: Phys. Rev. Lett. 32 (1974) 438
P. Langacer in: Particles and fields—1983. Abshiar (ed.) New York: Am. Inst. of Phys. 1984; and references therein; W. Marciano: lecture given at Fourth Workshop on Grand Unification, H.A. Weldon et al. (eds.) (1983) and references therein;
M.A.B. Bég, A. Sirlin: Phys. Rev. Lett. 38 (1977) 1113; M.A.B. Bég, H-S. Tsao: Phys. Rev. Lett. 41 (1978) 278; S. Barr, A. Zee: Phys. Rev. D17 (1978) 1854; F. Wilczek, A. Zee: Phys. Rev. Lett. 42 (1979) 421
H. Georgi: Nucl. Phys. B156 (1979) 126; P.H.Frampton: Phys. Lett. 88B (1979) 299; J. Chakrabarti, M. Popovic R.N. Mohapatra: Phys. Rev. D21 (1980) 3212; R. C. King: Nucl. Phys. B185 (1981) 133
D.J. Gross, F. Wilczek: Phys. Rev. Lett. 30 (1973) 1343; H.D. Politzer: Phys. Rev. Lett. 30 (1973) 1346; D.J. Gross, F. Wilczek: Phys. Rev. D8 (1973) 3633; D9 (1974) 980; H.D. Politzer: Phys. Rep. 14 (1974) 129
H. Georgi, S.L. Glashow: Phys. Rev. D6 (1972) 429; J. Banks, H. Georgi: Phys. Rev. D14 (1976) 1159; S. Okubo; Phys. Rev. D16 (1977) 3538
R. Slansky: Phys. Rep. 79 (1981) 1
M. Gell-Mann, P. Ramondand, R. Slansky: Rev. Mod. Phys. 50 (1978) 721
T. Appelquist, J. Carazzone: Phys. Rev. D11 (1975) 2858
T.J. Goldman, D.A. Ross: Phys. Lett. 84B (1979) 208; Ncul. Phys. B171 (1980) 273
O.V. Tarasov, A.A. Vladimirov, A. Tu. Zharkov: Phys. Lett. 93B (1980) 429
D.K. Grech: Mod. Phys. Lett. 3A (1988) No. 8
M.B. Einhorn, D.R.T. Jones: Nucl. Phys. B196 (1982) 475
D.K. Grech: Numerical re-examination of supersymmetric and nonsupersymmetricSU(5)-like grand unified models to appear in Int. J. Mod. Phys.
W.J. Marciano: review talk at XXIII International Conference on High Energy Physics, Berkeley, p. 999 Singapore: World Scientific 1987 and references therein
W.J. Marciano and G. Senjanovic: Phys. Rev. D25 (1982) 3092
J.C. Wu: Phys. Rev. D32 (1985) 1253
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Grech, D.K. Horizontal interactions and their symmetries in GUTs. Z. Phys. C - Particles and Fields 42, 599–615 (1989). https://doi.org/10.1007/BF01557666
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01557666