# Topics in perturbative quantum field theory: eighth order QED contribution to the anomalous magnetic moment of the muon and next to leading order QCD correction to. gamma gamma -->. M/sup +/M/sup -/(M =. pi. , K)

## Abstract

In Part I the evaluation of the complete eighth order QED contribution to the difference of the anomalous magnetic moments of the muon and the electron, (a/sub ..mu../ - a/sub e/, arising from 469 Feynman diagrams is presented. The result is 140.7(4.5)(..cap alpha../..pi..). The theoretical error represents the estimated accuracy of the required numerical integration. The light-by-light QED contribution to (a/sub ..mu../ - a/sub e/) has also been improved. With these results the difference a/sub ..mu../ - a/sub e/ through eighth order in QED is (a/sub ..mu../ - a/sub e/)/sup QED/ = 619,551(21) x 10/sup -11/. Adding to the present theoretical value of the electron anomaly a/sub e//sup QED/ = 115,965,246(5) x 10/sup -11/, it was found that the pure QED contribution to the muon anomaly is given by a/sub ..mu..//sup QED/ = 116,584,797(22) x 10/sup -11/. In Part II the results of the calculation of the next to leading order perturbative QCD correction to the two-photon exclusive channels ..gamma gamma -->..M/sup +/M/sup -/(M = ..pi..,K) at large momentum transfer is presented. Calculation is performed in the Feynman gauge. Dimensional regularization is used to treat both UV and the set of reals divergences. One loop correction to the ..gamma gammamore »

- Authors:

- Publication Date:

- Research Org.:
- Cornell Univ., Ithaca, NY (USA)

- OSTI Identifier:
- 5429670

- 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; ELECTRONS; MAGNETIC MOMENTS; KAONS; PAIR PRODUCTION; MUONS; PHOTON-PHOTON INTERACTIONS; PIONS; CORRECTIONS; CROSS SECTIONS; FEYNMAN DIAGRAM; PERTURBATION THEORY; QUANTUM CHROMODYNAMICS; QUANTUM ELECTRODYNAMICS; RENORMALIZATION; THEORETICAL DATA; WILSON LOOP; BASIC INTERACTIONS; BOSONS; DATA; DIAGRAMS; ELECTRODYNAMICS; ELECTROMAGNETIC INTERACTIONS; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; HADRONS; INFORMATION; INTERACTIONS; LEPTONS; MESONS; NUMERICAL DATA; PARTICLE INTERACTIONS; PSEUDOSCALAR MESONS; QUANTUM FIELD THEORY; STRANGE PARTICLES; 645202* - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties; 645204 - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties; 645400 - High Energy Physics- Field Theory

### Citation Formats

```
Nizic, B.
```*Topics in perturbative quantum field theory: eighth order QED contribution to the anomalous magnetic moment of the muon and next to leading order QCD correction to. gamma gamma -->. M/sup +/M/sup -/(M =. pi. , K)*. United States: N. p., 1985.
Web.

```
Nizic, B.
```*Topics in perturbative quantum field theory: eighth order QED contribution to the anomalous magnetic moment of the muon and next to leading order QCD correction to. gamma gamma -->. M/sup +/M/sup -/(M =. pi. , K)*. United States.

```
Nizic, B. Tue .
"Topics in perturbative quantum field theory: eighth order QED contribution to the anomalous magnetic moment of the muon and next to leading order QCD correction to. gamma gamma -->. M/sup +/M/sup -/(M =. pi. , K)". United States.
```

```
@article{osti_5429670,
```

title = {Topics in perturbative quantum field theory: eighth order QED contribution to the anomalous magnetic moment of the muon and next to leading order QCD correction to. gamma gamma -->. M/sup +/M/sup -/(M =. pi. , K)},

author = {Nizic, B},

abstractNote = {In Part I the evaluation of the complete eighth order QED contribution to the difference of the anomalous magnetic moments of the muon and the electron, (a/sub ..mu../ - a/sub e/, arising from 469 Feynman diagrams is presented. The result is 140.7(4.5)(..cap alpha../..pi..). The theoretical error represents the estimated accuracy of the required numerical integration. The light-by-light QED contribution to (a/sub ..mu../ - a/sub e/) has also been improved. With these results the difference a/sub ..mu../ - a/sub e/ through eighth order in QED is (a/sub ..mu../ - a/sub e/)/sup QED/ = 619,551(21) x 10/sup -11/. Adding to the present theoretical value of the electron anomaly a/sub e//sup QED/ = 115,965,246(5) x 10/sup -11/, it was found that the pure QED contribution to the muon anomaly is given by a/sub ..mu..//sup QED/ = 116,584,797(22) x 10/sup -11/. In Part II the results of the calculation of the next to leading order perturbative QCD correction to the two-photon exclusive channels ..gamma gamma -->..M/sup +/M/sup -/(M = ..pi..,K) at large momentum transfer is presented. Calculation is performed in the Feynman gauge. Dimensional regularization is used to treat both UV and the set of reals divergences. One loop correction to the ..gamma gamma -->..M/sup +/M/sup -/ cross section is obtained. In the mean MS renormalization scheme this correction is found not to be large.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1985},

month = {1}

}