FIZIKA B 5 (1996) 1, 57-72

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RESTRICTIONS ON THE UNIFICATION GAUGE GROUPS FROM THE NEUTRAL CURRENT INTERACTIONS DESCRIPTION IN COUPLING CONSTANT SPACE

JOSIP SOLN
Army Research Laboratory Adelphi, Maryland 20783, U.S.A.

Received 23 October 1995

The formalism of polar coupling constants, as applied to the neutral current interactions, indicates that the partial true unification of interactions associated with the gauge group SU(3)cSU(2)LG, where G is the generalization of U(1)Y, can go via two independent branches; these branches we call the Glashow and Weinberg-Salam branches. The uniqueness of the photon, vector bosons and neutral current interactions, in general, are guaranteed with respect to these two branches only if G = U(1) 2׷U(1)n, where the indices are associated with gauge coupling constants g2, ...,gn (g1 is associated with SU(2)L); this follows from the fact that only for this G exists a transformation connecting coupling constants and group generators between the two branches. This fact severely limits the possibilities of unification at higher energy scales. At the energy scale just beyond the Standard Model, G = U(1)2U(1)3; the effects of this G on some leptonic processes are briefly discussed.

UDC 530.19
PACS 11.15.-q
Copyright by The Croatian Physical Society
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