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

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arxiv 2203.11231 v1 pith:CQLPDTW3 submitted 2022-03-21 hep-ph

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

classification hep-ph
keywords accuracycoefficientscurrentsmatchingnon-singletresultsthree-loopvector
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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