Bottonium mass — Evaluation using renormalon cancellation

Abstract We present a method of calculating the bottonium mass Mϒ(1S) = 2mb+Eb. The binding energy is separated into the soft and ultrasoft components Eb = Eb(s)+Eb)us) by requiring the reproduction of the correct residue parameter value of the renormalon singularity for the renormalon cancellation in the sum 2mb+Eb(s). The Borel resummation is then performed separately for 2mb and Eb(s), using the infrared safe b mass as input. EPb(us) is estimated. Comparing the result with the measured value of Mϒ(1S), the extracted value of the quark mass is b(μ = b = 4.241 ± 0.068 GeV (for the central value αs(Mz) = 0.1180). This value of b is close to the earlier values obtained from the QCD spectral sum rules, but lower than from pQCD evaluations without the renormalon structure for heavy quarkonia.