Calculation of ${\bar{\alpha }}_{Q.E.D.}$ on the Z

Abstract

We perform a new, detailed calculation of the hadronic contributions to the running electromagnetic coupling, $\bar{\alpha }$, defined on the Z particle (91 GeV). We find for the hadronic contribution, including radiative corrections, $$10^5\times \deltav_{\rm had.}α(M_Z^2)= 2740\pm12,$$ or, excluding the top quark contribution, $$10^5\times \deltav_{\rm had.}α^{(5)}(M_Z^2)= 2747\pm12.$$ Adding the pure QED corrections we get a value for the running electromagnetic coupling of $${\bar{\alpha }}_{Q.E.D.}(M_Z^2)=\frac{1}{128.965\pm 0.017}.$$

Version to appear in Phys. Rev. D. Plain TeX file

References in corpus (3)

• Precision Determination of the Pion Form Factor and Calculation of the Muon $g-2$
• Improved Calculation of F2 in Electroproduction and xF3 in Neutrino Scattering to NNLO and Determination of alpha_s
• Improving alpha_QED(M_Z^2) and the charm mass by analytic continuation

Cited by in corpus (9)

• Precision Electroweak Measurements on the Z Resonance
• Electroweak Measurements in Electron-Positron Collisions at W-Boson-Pair Energies at LEP
• Predictions for g-2 of the muon and alpha_QED(M_Z^2)
• The hadronic contributions to the anomalous magnetic moment of the muon
• Precision Electroweak Tests of the Standard Model
• Experimental Precision Tests for the Electroweak Standard Model
• Electroweak Physics
• Search for fermiophobic Higgs bosons in final states with photons at LEP 2
• Leptonic Probes of the Standard Model