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We present the complete next-to-next-to-next-to-leading order short-distanceand bound-state QCD correction to the leptonic decay rateGamma(Upsilon(1S)->l+l-) of the lowest-lying spin-1 bottomonium state. Theperturbative QCD prediction is compared to the measurementGamma(Upsilon(1S)->e+e-)=1.340(18) keV.

Leptonic decay of the Upsilon(1S) meson at third order in QCD