QCD Sum Rule Determination of $\alpha (M_Z)$ with Minimal Data Input

Abstract

We present the results of a new evaluation of the running fine structure constant $\alpha$ at the scale of the $Z$ mass in which the role of the $e^{+}{e}^{-}$ annihilation input data needed in this evaluation is minimized. This is achieved by reducing the weight function $M_Z^2/(s(M_Z^2-s))$ in the dispersion integral over the $e^{+}{e}^{-}$ annihilation data by subtracting a polynomial function from the weight function which mimics its energy dependence in given energy intervals. In order to compensate for this subtraction the same polynomial weight integral is added again but is now evaluated on a circular contour in the complex plane using QCD and global duality. For the hadronic contribution to the shift in the fine structure constant we obtain $\Delta {\alpha }_{\mathrm{had}}^{(5)}=(277.6\pm 4.1)\cdot 10^{-4}$. Adding in the leptonic and top contributions our final result is $\alpha (M_Z{)}^{-1}=128.925\pm 0.056$.

no changes, PostScript figures included in the text for convenience

References in corpus (7)

• Quark Mass Anomalous Dimension to alpha_s**4
• Higgs Decay to Order α_s^4
• Improved Determination of $\alpha (M_{\mathrm{Z}}^2$) and the Anomalous Magnetic Moment of the Muon
• Improved Determination of alpha_QED(M_Z^2) and the Anomalous Magnetic Moment of the Muon
• A theory driven analysis of the effective QED coupling at $M_Z$
• Mass Corrections to the Vector Current Correlator
• Vector and Axial-Vector Spectral Functions and QCD

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