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)

Thesis/Dissertation · Tue Jan 01 00:00:00 EST 1985

OSTI ID:5429670

Nizic, B

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.

• Research Organization: Cornell Univ., Ithaca, NY (USA)
• OSTI ID: 5429670
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

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
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645400 - High Energy Physics- Field Theory