A Simple Way to Estimate the Value of $\barα\equivα(m^2_Z)$

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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LaTex, 6 pages, preprint # FTUV/94-27, IFIC/94-25

Scientific paper

To obtain the value of electromagnetic coupling constant at $q^2=m^2_Z$, $\bar{\alpha}$, which plays a key role in electroweak physics one has to integrate the cross-section of $e^+e^-$-annihilation into hadrons divided by $(s-m^2_Z)$ over $s$ from threshold to infinity. By combining, for each flavor channel, the contribution of lowest resonance with the perturbative QCD continuum, we obtain $1/\bar{\alpha} = 128.90\pm 0.06 $ a result which is close to known result obtained with purely experimental inputs, i.e. $1/\bar{\alpha} = 128.87\pm 0.12$.

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