Reconsidered estimates of the 10th order QED contributions to the muon anomaly

Journal Article · Sun Oct 01 04:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.073011· OSTI ID:20871296

Kataev, A L ^[1]

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1. Institute for Nuclear Research of the Academy of Sciences of Russia, 117312, Moscow (Russian Federation)

The problem of estimating the 10th order QED corrections to the muon anomalous magnetic moment is reconsidered. The incorporation of the recently improved contributions to the {alpha}{sup 4} and {alpha}{sup 5}-corrections to a{sub {mu}} within the renormalization group inspired scheme-invariant approach leads to the estimate a{sub {mu}}{sup (10)}{approx_equal}643({alpha}/{pi}){sup 5}. It is in good agreement with the estimate a{sub {mu}}{sup (10)}=663(20)({alpha}/{pi}){sup 5}, obtained by Kinoshita and Nio from the numerical calculations of 2958 10th order diagrams, which are considered to be more important than the still uncalculated 6122 10th-order m{sub {mu}}/m{sub e}-dependent vertex graphs, and 12 672 5-loop diagrams, responsible for the mass-independent constant contribution both to a{sub {mu}} and a{sub e}. This confirms Kinoshita and Nio guess about dominance of the 10th order diagrams calculated by them. Comparisons with other estimates of the {alpha}{sup 5}- contributions to a{sub {mu}}, which exist in the literature, are presented.

• OSTI ID: 20871296
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPARATIVE EVALUATIONS
CORRECTIONS
FEYNMAN DIAGRAM
MAGNETIC MOMENTS
MUONS
QUANTUM ELECTRODYNAMICS
RENORMALIZATION
REST MASS