Reevaluation of the Hadronic Contribution to $α(M_Z^2)$ (revised)

Details Reevaluation of the Hadronic Contribution to $α(M_Z^2)$ (revised) Reevaluation of the Hadronic Contribution to $α(M_Z^2)$ (revised)

1994-11-21

arxiv.org/abs/hep-ph/9411353v3

Phys.Rev. D53 (1996) 5268-5282

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 pages, uuencoded gzip-compressed postscript (200 kb). Uncompressed postscript file (506 kb) available to DECNET users as

Scientific paper

10.1103/PhysRevD.53.5268

We reevaluate the hadronic part of the electromagnetic vacuum expectation value using the standard dispersion integral approach that utilizes the hadronic cross section measured in $\ee$ experiments as input. Previous analyses are based upon point-by-point trapezoidal integration which has the effect of weighting all inputs equally. We use a technique that weights the experimental inputs by their stated uncertainties, includes correlations, and incorporates some refinements. We find the hadronic contribution to the fractional change in the electromagnetic coupling constant at $q^2=M_Z^2$ to be $0.02666\pm0.00075$, which leads to a value of the electromagnetic coupling constant, $\alpha^{-1}(M_Z^2) = 129.08\pm0.10$. This value significantly shifts the Standard Model predictions for the effective weak mixing angle measured at the $Z$ pole and moderately shifts the predicted $Z$ width.

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