Abstract:
A study is made of gauge theories obtained by dimensional reduction of multidimensional “free” gauge theories with syrmnetry. A sufficient condition for the reduced theory to contain only one irreducible multiplet of scalar fields is found. For the classes of such theories the potentials of scalar fields, Higgs potentials, are calculated explicitly. It is shown that in this approach the boson sector of the Weinberg–Salam model can be obtained. Stringent predictions for the mass of the Higgs boson and the Weinberg angle then arise – they can take only a discrete series of values.
Citation:
I. P. Volobuev, Yu. A. Kubyshin, “Higgs potentials as “inheritance” from higher space-time dimensions. II. Construction of Higgs models”, TMF, 68:3 (1986), 368–380; Theoret. and Math. Phys., 68:3 (1986), 885–893