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

Nevzorov, R. B.; Novikov, A. V.; Vysotsky, M. I.

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

Authors

Nevzorov, R. B.

Novikov, A. V.

Vysotsky, M. I.

Description

To obtain the value of electromagnetic coupling constant at $q^2=m^2_Z$, $\barα$, 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/\barα = 128.90\pm 0.06 $ a result which is close to known result obtained with purely experimental inputs, i.e. $1/\barα = 128.87\pm 0.12$.
LaTex, 6 pages, preprint # FTUV/94-27, IFIC/94-25