Strange Quark Mass from Pseudoscalar Sum Rule with O(alphas4) Accuracy
K. G. Chetyrkin, A. Khodjamirian
Abstract
We include the new, five-loop, O(alphas4) correction into the QCD sum rule used for the s-quark mass determination. The pseudoscalar Borel sum rule is taken as a study case. The OPE for the correlation function with N4LO, O(alphas4) accuracy in the perturbative part, and with dimension <= 6 operators reveals a good convergence. We observe a significant improvement of stability of the sum rule with respect to the variation of the renormalization scale after including the O(alphas4) correction. We obtain the interval ms(2 GeV)=105 6 7 MeV, which exhibits about 2 MeV increase of the central value, if the O(alphas4) terms are removed.
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