Eighth-order QED contribution to the anomalous magnetic moment of the muon

Journal Article · Mon Jan 15 04:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.593· OSTI ID:6902027

Kinoshita, T; Nizic, B; Okamoto, Y ^[1]

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1. Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853 (US)

We report a calculation of the eighth-order QED contribution to the muon anomalous magnetic moment {ital a}{sub {mu}}{sup (8)} coming from 469 Feynman diagrams, all of which contain electron loops of vacuum-polarization type and/or light-by-light scattering type. Our result is 126.92(41)({alpha}/{pi}){sup 4}. The error represents the estimated accuracy (90% confidence limit) of the required numerical integration. We also report an estimate of the tenth-order contribution to {ital a}{sub {mu}}. Combining these with the lower-order results and the latest theoretical value for the electron anomaly {ital a}{sub {ital e}}, we find that the QED contribution to the muon anomaly is given by {ital a}{sub {mu}}{sup QED} =1 165 846 947(46)(28){times}10{sup {minus}12}, where the first error is an estimate of theoretical uncertainty and the second reflects the measurement uncertainty in {alpha}. Including the hadronic and electroweak contributions, the best theoretical prediction for {ital a}{sub {mu}} available at present is {ital a}{sub {mu}}{sup theory} =116 591 920 (191){times}10{sup {minus}11}, where the error comes predominantly from the hadronic contribution.

• OSTI ID: 6902027
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:2; ISSN 0556-2821; ISSN PRVDA
• 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
DIAGRAMS
ELECTRODYNAMICS
ELECTROMAGNETIC RADIATION
ELECTRONS
ELEMENTARY PARTICLES
FERMIONS
FEYNMAN DIAGRAM
FIELD THEORIES
LEPTONS
MAGNETIC MOMENTS
MASS
MONTE CARLO METHOD
MUONS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RADIATIONS
SCATTERING
VACUUM POLARIZATION
VISIBLE RADIATION