# Neutral-current phenomena within the left-right--symmetric unified theory of quarks and leptons

## Abstract

The neutral-current weak-interaction sector of the left-right--symmetric unified theory of quarks and leptons based on the symmetry structure SU(2)/sub L/ x SU(2)/sub R/ x SU(4) '/sub L ts(tsR/ and its subgroup SU(2)/sub L/ x SU(2)/sub R/ x SU(3) '/sub L ts(tsR/ x U(1)/sub L ts(tsR/ (suggested in earlier papers) is studied in detail here. The theory admits in general of two weak neutral gauge bosons N/sub 1/ and N/sub 2/ (and two sets of left and right charged W's (W/sub L//sup + -//sup ,WR-italic//sup + -/)As pointed out earlier, there are two distinct possibilities for the pattern of spontaneous symmetry breaking which lead to the mass relations (i) m/sub N//sup 2/ approx. m/sub W L//sup 2/ very-much-less-than m/sub N//sup 2/, (ii) m/sub N//sup 2/ approx. m/sub N//sup 2/ approx. m/sub W L//sup 2/. Case (i) is identical to the familiar SU(2) x U(1) theory for all predictions. Case (ii), on the other hand, leads to departures from SU(2) x U(1). One of the most crucial results of our investigation is that such departures occur only for the electron-induced atomic parity experiments and not for neutrino-induced weak processes in the chiral ..gamma../sub 5/-invariant limit, in which W/sub L/-W/sub R/ mixing asmore »

- Authors:

- Publication Date:

- Research Org.:
- Imperial College, London, England

- OSTI Identifier:
- 5076052

- Resource Type:
- Journal Article

- Journal Name:
- Phys. Rev., D; (United States)

- Additional Journal Information:
- Journal Volume: 17:1

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NEUTRAL-CURRENT INTERACTIONS; QUARK MODEL; CHIRAL SYMMETRY; LEPTONS; P INVARIANCE; SU-2 GROUPS; SU-4 GROUPS; SYMMETRY BREAKING; U-1 GROUPS; UNIFIED GAUGE MODELS; WEAK INTERACTIONS; BASIC INTERACTIONS; COMPOSITE MODELS; ELEMENTARY PARTICLES; FERMIONS; INTERACTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; PARTICLE INTERACTIONS; PARTICLE MODELS; SU GROUPS; SYMMETRY; SYMMETRY GROUPS; U GROUPS; 645203* - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties

### Citation Formats

```
Pati, J C, Rajpoot, S, and Salam, A.
```*Neutral-current phenomena within the left-right--symmetric unified theory of quarks and leptons*. United States: N. p., 1978.
Web. doi:10.1103/PhysRevD.17.131.

```
Pati, J C, Rajpoot, S, & Salam, A.
```*Neutral-current phenomena within the left-right--symmetric unified theory of quarks and leptons*. United States. doi:10.1103/PhysRevD.17.131.

```
Pati, J C, Rajpoot, S, and Salam, A. Sun .
"Neutral-current phenomena within the left-right--symmetric unified theory of quarks and leptons". United States. doi:10.1103/PhysRevD.17.131.
```

```
@article{osti_5076052,
```

title = {Neutral-current phenomena within the left-right--symmetric unified theory of quarks and leptons},

author = {Pati, J C and Rajpoot, S and Salam, A},

abstractNote = {The neutral-current weak-interaction sector of the left-right--symmetric unified theory of quarks and leptons based on the symmetry structure SU(2)/sub L/ x SU(2)/sub R/ x SU(4) '/sub L ts(tsR/ and its subgroup SU(2)/sub L/ x SU(2)/sub R/ x SU(3) '/sub L ts(tsR/ x U(1)/sub L ts(tsR/ (suggested in earlier papers) is studied in detail here. The theory admits in general of two weak neutral gauge bosons N/sub 1/ and N/sub 2/ (and two sets of left and right charged W's (W/sub L//sup + -//sup ,WR-italic//sup + -/)As pointed out earlier, there are two distinct possibilities for the pattern of spontaneous symmetry breaking which lead to the mass relations (i) m/sub N//sup 2/ approx. m/sub W L//sup 2/ very-much-less-than m/sub N//sup 2/, (ii) m/sub N//sup 2/ approx. m/sub N//sup 2/ approx. m/sub W L//sup 2/. Case (i) is identical to the familiar SU(2) x U(1) theory for all predictions. Case (ii), on the other hand, leads to departures from SU(2) x U(1). One of the most crucial results of our investigation is that such departures occur only for the electron-induced atomic parity experiments and not for neutrino-induced weak processes in the chiral ..gamma../sub 5/-invariant limit, in which W/sub L/-W/sub R/ mixing as well as fermion masses vanish. In this manner (for the chiral limit defined above), SU(2) x U(1) becomes an integral and stable ingredient of the left-right--symmetric theory for both cases (i) and (ii) insofar as their predictions for neutrino-induced reactions are concerned; the differences between the two cases (in this chiral limit) lie solely in their predictions regarding atomic parity violation and, of course, the masses of the two neutral particles N/sub 1/ and N/sub 2/. We study the chiral as well as the nonchiral cases and compare},

doi = {10.1103/PhysRevD.17.131},

journal = {Phys. Rev., D; (United States)},

number = ,

volume = 17:1,

place = {United States},

year = {1978},

month = {1}

}