Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-02-27
Phys.Rev.D71:073008,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
Version to be published by Phys. Rev. D; comparison with other calculations aincluded.Plain TeX; 7 figures; 22 pages
Scientific paper
10.1103/PhysRevD.71.073008
We present a new, completely revised calculation of the muon anomalous magnetic moment, $a_\mu=(g_{\mu}-2)/2$, comparing it with the more recent experimental determination of this quantity; this furnishes an important test of theories of strong, weak and electromagnetic interactions. These theoretical and experimental determinations give the very precise numbers, $$10^{11}\times a_\mu=\cases{116 591 806\pm50\pm10 ({\rm rad.})\pm30 (\ell\times\ell)\quad\hbox{[Th., no $\tau$]}\cr 116 591 889\pm49\pm10 ({\rm rad.})\pm30 (\ell\times\ell)\quad\hbox{[Theory, $\tau$]}\cr 116 592 080\pm60\quad\hbox{[Experiment]}.\cr}$$ In the theoretical evaluations, the first quantity does not, and the second one does, use information from $\tau$ decay. The first errors for the theoretical evaluations include statistical plus systematic errors; the other ones are the estimated errors due to incomplete treatment of radiative corrections and the estimated error in the light-by-light scattering contribution. We thus have a significant mismatch between theory and experiment. We also use part of the theoretical calculations to give a precise evaluation of the electromagnetic coupling on the $Z$, $\bar{\alpha}_{\rm Q.E.D.}(M^2_{Z})$, of the masses and widths of the (charged and neutral) rho resonances, of the scattering length and effective range for the P wave in $\pi\pi$ scattering, and of the quadratic radius and second coefficient of the pion form factor.
de Troconiz Jorge F.
Yndurain F. J.
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