Reconstruction of heavy quark current correlators at \({\mathcal O}(\alpha_s^3)\). (English) Zbl 1196.81240
Summary: We construct approximate formulas for the \({\mathcal O}(\alpha_s^3)\) QCD contributions to vector, axial-vector, scalar and pseudo-scalar quark current correlators, which are valid for arbitrary values of momenta and masses. The derivation is based on conformal mapping and the Padé approximation procedure and incorporates known expansions in the low energy, threshold and high energy regions. We use our results to estimate additional terms in these expansions.
MSC:
| 81V05 | Strong interaction, including quantum chromodynamics |
| 81T15 | Perturbative methods of renormalization applied to problems in quantum field theory |
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