Calculation of $\barα_{\rm Q.E.D.}$ on the Z

Details Calculation of $\barα_{\rm Q.E.D.}$ on the Z Calculation of $\barα_{\rm Q.E.D.}$ on the Z

2001-07-31

arxiv.org/abs/hep-ph/0107318v2

Phys.Rev. D65 (2002) 093002

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.65.093002

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, $$10^5\times \deltav_{\rm had.}\alpha(M_Z^2)= 2740\pm12,$$ or, excluding the top quark contribution, $$10^5\times \deltav_{\rm had.}\alpha^{(5)}(M_Z^2)= 2747\pm12.$$ Adding the pure QED corrections we get a value for the running electromagnetic coupling of $$\bar{\alpha}_{\rm Q.E.D.}(M_Z^2)= {{1}\over{128.965\pm0.017}}.$$

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