Moments of Heavy Quark Current Correlators at Four-Loop Order in Perturbative QCD

Abstract

We present the result for the first moment of the scalar and axial-vector current correlator in third order of the strong coupling constant alpha_s and give the details of a recent evaluation of the pseudo-scalar correlator. The results can be used to reduce the theoretical uncertainty due to higher order corrections for the determination of fundamental parameters of QCD in the context of lattice calculations.

arXiv comment12 pages, 1 figure

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