Unified gauge model for electromagnetic, weak, and direct lepton-quark interactions
A gauge model unifying weak and electromagnetic interactions and the so- called anomalous or direct interactions between leptons and quarks is discussed. The theory involves six leptons $nu$/sube/, $nu$/sub mu/, e$sup -$, $mu$$sup -$, E$sup 0$, M$sup 0$, and six quarks N$sup 0$, lambda$sup 0$, P$sup +$, g$sup +$, c$sup +$, t$sup 0$ which are arranged in irreducible representations of the gauge group G/subl//subh/ = SU(2)/subL/ x SU(2)/subR/ x U(1) in such a way that spin- one fields that carry exotic quantum numbers also carry electrical charge. The theory is free of Adler-Bell-Jackiw anomalies. To give masses to six out of the seven gauge fields of G/subl//subh/ and also to leave the $nu$/sube/, $nu$/sub mu/ massless while providing mass to E$sup 0$, M$sup 0$ through the Higgs-Kibble mechanism, two scalar doublets and a scalar (2 x 2) multiplet are introduced. Lepton number and baryon number are separately conserved. In the presence of neutral heavy leptons conventional lepton-hadron universality is maintained through a Cabibbo-type rotation. The rotation of the quarks leads to an explanation for the mysterious $delta$I = 1/2 rule observed in nonleptonic decays. By allowing for a direct coupling between N$sup 0$/subR/ and $mu$$sup -$/subR/ the effective strength of neutral currents could be sufficiently larger in some processes without disagreement with experiments on $nu$ + N $Yields$ $nu$ + X or precision experiments involving quantum-electrodynamic phenomena. Besides neutral-current effects that could be of experimental interest, the decay of the g$sup +$ quark entails no enhancement of K/$pi$ branching ratio and its interaction with charged W, say in the reaction $nu$/sub mu/ + N$sup 0$ $Yields$ g$sup +$ + $mu$$sup -$, is enhanced relative to $nu$/sub mu/ + N$sup 0$ $Yields$ P$sup +$ + $mu$$sup -$ to G/subF/ cot$beta$. The fermion mass matrix has interesting properties and the electron and the muon mass vanish ''naturally'' in zeroth order and should therefore be computable theoretically. (AIP)
- Research Organization:
- The Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-33-031383
- OSTI ID:
- 4017138
- Journal Information:
- Phys. Rev., D, v. 13, no. 5, pp. 1268-1275, Journal Name: Phys. Rev., D, v. 13, no. 5, pp. 1268-1275; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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