Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-09-07
Phys.Rev. D53 (1996) 5268-5282
Physics
High Energy Physics
High Energy Physics - Phenomenology
46 pages, PHYZZX document with 8 tar-ed, gzipped, uuencoded encapsulated postscript figures. Uncompressed postscript file (2.0
Scientific paper
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 does not treat experimental errors in an optimal way. We use a technique that weights the experimental inputs by their stated uncertainties, includes correlations, and incorporates some refinements. We find the five-flavor hadronic contribution to the fractional change in the electromagnetic coupling constant at $q^2=M_Z^2$, $\Delta\alpha(MZ)$, to be $0.02752\pm0.00046$, which leads to a value of the electromagnetic coupling constant, $\alpha^{-1}(M_Z^2) = 128.96\pm0.06$. [This is an updated version of SLAC-PUB-6710 (hep-ph/9411353) which fixes a small bias in the fitting procedure (1/3 of the change) and incorporates a new and precise cross section measurement near charm threshold (2/3 of the change).]
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