# Unified gauge model for electromagnetic, weak, and direct lepton-quark interactions

## Abstract

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 ofmore »

- Authors:

- Publication Date:

- Research Org.:
- The Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 4017138

- NSA Number:
- NSA-33-031383

- Resource Type:
- Journal Article

- Journal Name:
- Phys. Rev., D, v. 13, no. 5, pp. 1268-1275

- Additional Journal Information:
- Other Information: Orig. Receipt Date: 30-JUN-76

- Country of Publication:
- United States

- Language:
- English

- Subject:
- N64210* -Physics (High Energy)-Particle Interactions & Properties (Theoretical)-General; 641101*; *UNIFIED GAUGE MODELS- WEAK INTERACTIONS; COUPLING; IRREDUCIBLE REPRESENTATIONS; LEPTONS; NEUTRAL-CURRENT INTERACTIONS; SU-3 GROUPS; U-1 GROUPS

### Citation Formats

```
Soni, A.
```*Unified gauge model for electromagnetic, weak, and direct lepton-quark interactions*. United States: N. p., 1976.
Web. doi:10.1103/PhysRevD.13.1268.

```
Soni, A.
```*Unified gauge model for electromagnetic, weak, and direct lepton-quark interactions*. United States. https://doi.org/10.1103/PhysRevD.13.1268

```
Soni, A. Mon .
"Unified gauge model for electromagnetic, weak, and direct lepton-quark interactions". United States. https://doi.org/10.1103/PhysRevD.13.1268.
```

```
@article{osti_4017138,
```

title = {Unified gauge model for electromagnetic, weak, and direct lepton-quark interactions},

author = {Soni, A},

abstractNote = {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)},

doi = {10.1103/PhysRevD.13.1268},

url = {https://www.osti.gov/biblio/4017138},
journal = {Phys. Rev., D, v. 13, no. 5, pp. 1268-1275},

number = ,

volume = ,

place = {United States},

year = {1976},

month = {3}

}