Three-loop non-singlet matching coefficients for heavy quark currents

Abstract

We compute the matching coefficients between QCD and non-relativistic QCD for external vector, axial-vector, scalar and pseudo-scalar currents up to three-loop order. We concentrate on the non-singlet contributions and present precise numerical results with an accuracy of about ten digits. For the vector current the results from arXiv:1401.3004 are confirmed, increasing the accuracy by several orders of magnitude.

9 pages

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• Three-loop QCD matching of the flavor-changing scalar current involving the heavy charm and bottom quark