Hadronic part of the muon anomalous magnetic moment: An improved evaluation

• Published in: Physical review. D, Particles and fields Vol. 42; no. 3; pp. 884 - 892
• Main Authors: Martinovic, L, Dubnicka, S
• Format: Journal Article
• Language: English
• Published: United States 01-08-1990
• Subjects: 645204 - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties; ACCURACY; BOSONS; ELEMENTARY PARTICLES; ERRORS; FERMIONS; FIELD THEORIES; HADRONS; KAONS; LEPTONS; MAGNETIC MOMENTS; MESONS; MUONS; PERTURBATION THEORY; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; PIONS; PSEUDOSCALAR MESONS; QUANTUM CHROMODYNAMICS; QUANTUM FIELD THEORY; STRANGE MESONS; STRANGE PARTICLES
• ISSN: 0556-2821; 1089-4918
• DOI: 10.1103/PhysRevD.42.884

We have done a new evaluation of the lowest-order hadronic vacuum-polarization contribution {ital a}{sub {mu}}{sup vac} to the anomalous magnetic moment of the muon. The result is {ital a}{sub {mu}}{sup vac}=(7052{plus minus}76){times}10{sup {minus}11} or {ital a}{sub {mu}}{sup vac}=(7048{plus minus}115){times}10{sup {minus}11} depending on the way in which the experimental systematic errors of the dominant two-pion contribution to {ital a}{sub {mu}}{sup vac} are taken into account. The more pessimistic error, though numerically equal to the earlier result of Casas, Lopez, and Yndurain, is still an improvement over the latter since it includes also the model error omitted in the previous analysis. The increased accuracy of {ital a}{sub {mu}}{sup vac} has been achieved through the use of global analytic models of the pion and kaon form factors for the two-pion and the two-kaon contributions as well as due to new experimental information mainly for the three-pion channel.