# Calculability, natura flavor conservation, and a left-right symmetric gauge model of the weak and electromagnetic interactions

## Abstract

Two of the most powerful theoretical constraints on gague theories of the weak and electromagnetic interactions are calculability of the generalized Cabibbo mixing angles and Natural Flavor Conservation (NFC) in gauge boson and Higgs mediated neutral currents. Much of the work in these areas has been done in the context of the standard SU(2) x U(1) gauge model Calculability is defined here in a precise way for an arbitrary gauge model with an unbroken U(1) symmetry (WET) for the first time and tis implications are explored. Also in the context of an arbitrary WET, it is found that NFC requires all quarks of a given charge and helicity to transform identically under the gauge group. The question as to whether a WET that obeys the fiats of NFC can support calculable mixing angles is answered in the negative. Similar results have been obtained for the standard model. This thesis addresses other outstanding problems in these areas, as well as formulating and examining a new left-right symmetric gauge model of the weak and electromagnetic interactions which exploits the gauge group SU(2)/sub L/ x SU(2)/sub R/ x U(1) employed first by Pati, Salam, and Mohapatra.

- Authors:

- Publication Date:

- Research Org.:
- Brown Univ., Providence, RI (USA)

- OSTI Identifier:
- 5505949

- Resource Type:
- Thesis/Dissertation

- Resource Relation:
- Other Information: Thesis (Ph. D.)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CABIBBO ANGLE; UNIFIED GAUGE MODELS; ELECTROMAGNETIC INTERACTIONS; FLAVOR; CONSERVATION LAWS; WEAK INTERACTIONS; NEUTRAL CURRENTS; QUARKS; SYMMETRY; ALGEBRAIC CURRENTS; BASIC INTERACTIONS; CURRENTS; ELEMENTARY PARTICLES; INTERACTIONS; MATHEMATICAL MODELS; ORGANOLEPTIC PROPERTIES; PARTICLE MODELS; POSTULATED PARTICLES; 645202* - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties; 645203 - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties

### Citation Formats

```
Rothman, A C.
```*Calculability, natura flavor conservation, and a left-right symmetric gauge model of the weak and electromagnetic interactions*. United States: N. p., 1980.
Web.

```
Rothman, A C.
```*Calculability, natura flavor conservation, and a left-right symmetric gauge model of the weak and electromagnetic interactions*. United States.

```
Rothman, A C. Tue .
"Calculability, natura flavor conservation, and a left-right symmetric gauge model of the weak and electromagnetic interactions". United States.
```

```
@article{osti_5505949,
```

title = {Calculability, natura flavor conservation, and a left-right symmetric gauge model of the weak and electromagnetic interactions},

author = {Rothman, A C},

abstractNote = {Two of the most powerful theoretical constraints on gague theories of the weak and electromagnetic interactions are calculability of the generalized Cabibbo mixing angles and Natural Flavor Conservation (NFC) in gauge boson and Higgs mediated neutral currents. Much of the work in these areas has been done in the context of the standard SU(2) x U(1) gauge model Calculability is defined here in a precise way for an arbitrary gauge model with an unbroken U(1) symmetry (WET) for the first time and tis implications are explored. Also in the context of an arbitrary WET, it is found that NFC requires all quarks of a given charge and helicity to transform identically under the gauge group. The question as to whether a WET that obeys the fiats of NFC can support calculable mixing angles is answered in the negative. Similar results have been obtained for the standard model. This thesis addresses other outstanding problems in these areas, as well as formulating and examining a new left-right symmetric gauge model of the weak and electromagnetic interactions which exploits the gauge group SU(2)/sub L/ x SU(2)/sub R/ x U(1) employed first by Pati, Salam, and Mohapatra.},

doi = {},

url = {https://www.osti.gov/biblio/5505949},
journal = {},

number = ,

volume = ,

place = {United States},

year = {1980},

month = {1}

}