Eighth-order magnetic moment of the electron. V. Diagrams containing no vacuum-polarization loop

Journal Article · Sun Jul 15 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.636· OSTI ID:6641687

Kinoshita, T ^[1]; Lindquist, W B ^[2]

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1. Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, NY (USA)
2. Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, NY (USA)

We have evaluated the eighth-order contribution to the anomalous magnetic moment of the electron arising from the 518 vertex diagrams which have no closed electron loops. Our result is {minus}1.934(137) ({alpha}/{pi}){sup 4}. The theoretical error represents the estimated accuracy (90% confidence limit) of the required numerical integration. Combining this with the updated results of the previous four papers in this series, we find the complete eighth-order QED contribution to be {minus}1.434(138) ({alpha}/{pi}){sup 4}. If one uses, for {alpha}{sup {minus}1}, the value 137.0359979(32) obtained from the quantized Hall effect, this leads to the most accurate theoretical value available at present for the magnetic moment anomaly of the electron, {ital a}{sub {ital e}}{sup th}=1 159 652 140(28){times}10{sup {minus}12}, which is within 1.7 standard deviations of the experimental values for the electron and positron: {ital a}{sub {ital e}}{sup {minus}expt}=1 159 652 188.4(4.3){times}10{sup {minus}12}, {ital a}{sub {ital e}}{sup +expt}=1 159 652 187.9(4.3){times}10{sup {minus}12}.

• OSTI ID: 6641687
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:2; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645202 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
ELECTRODYNAMICS
ELECTRONS
ELEMENTARY PARTICLES
ENERGY
FERMIONS
FIELD THEORIES
HALL EFFECT
INTERACTIONS
LEPTONS
MAGNETIC MOMENTS
QUANTIZATION
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
SELF-ENERGY
VACUUM POLARIZATION
WARD IDENTITY
WEAK INTERACTIONS