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We revisit the earlier determination of alpha_s(M_Z) via perturbative analyses of short-distance-sensitive lattice observables, incorporating new lattice data and performing a modified version of the original analysis.
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We have quoted, to be specific, the τ \tau decay result of Ref. my08 , which contains a careful treatment of the small, but (for a precision determination) numerically important, D > 4 D>4 OPE contributions, the inconsistent treatment of which created unquantified theoretical systematic errors in a number of the earlier τ \tau -decay-based analyses. The results of the fifth order FOPT analysis, 0.1185 − 0.0009 + 0.0014 0.1185^{+0.0014}_{-0.0009} , and of the more model dependent extension, 0.1180 ± 0.0008 0.1180\pm 0.0008 , both reported in Ref. jb08 , are compatible within errors with that of Ref. my08 , but are based on assumed, rather than fitted, values for the relevant D = 6 D=6 and 8 8 OPE contributions. The ranges corresponding to the two results of Ref. jb08 , however, are fully contained within the range listed in the table
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