Higgs potentials as ``inheritance'' from higher space-time dimensions. II: Construction of Higgs models (Q1092439)

[Part I, cf. ibid. 68, 225-235 (1986; Zbl 0627.53065).] Gauge theories are studied by using the dimensional reduction method. A class of internal spaces describing a gauge theory including only one irreducible multiplet of scalar fields is obtained. A sufficient condition for this is given and the corresponding potentials of the scalar fields (Higgs potentials) are calculated explicitly. It is shown that the bosonic sector of the Weinberg-Salam model can be obtained within this model. The authors obtain predictions for the mass of the Higgs boson and for the Weinberg angle as a consequence of the dimensional reduction. It is shown that the Weinberg angle can take only a discrete series of values. Finally, it is suggested that the method presented can be also applied to the case of a theory with many irreducible multiplets of scalar fields.