We have performed a new evaluation of the hadronic contribution to
aΞΌβ=(gβ2)/2 of the muon with explicit correlations of systematic errors
among the experimental data on Ο(e+eββhadrons). Our result for
the lowest order hadronic vacuum polarization contribution is aΞΌhadβ=702.6(7.8)(14.0)Γ10β10 where the the first error is statistical and
the second is systematic. The total systematic error contributions from below
and above sβ=1.4 GeV are (13.1)Γ10β10 and (5.1)Γ10β10 respectively, and are hence dominated by the low energy region.
Therefore, new measurements on Ο(e+eββhadrons) below 1.4 GeV can
significantly reduce the total error on aΞΌhadβ. In particular, the
effect on the total errors of new hypothetical data with 3 \% statistical and
0.5 - 1.0 \% systematic errors is presented.Comment: LaTeX with REVTeX style and options: multicol,aps,psfig. 18 pages,
postscript figures included after text. Accepted in Phys. Rev. D (~ Sept
1996