Institute for Theoretical Particle Physics (TTP)

TTP09-17 Reconstruction of heavy quark current correlators at O(αs3)

TTP09-17 Reconstruction of heavy quark current correlators at O(α<sub

s³) > We construct approximate formulas for the O(α_s³) 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.

Y. Kiyo, A. Maier, P. Maierhöfer, P. Marquard

Nuclear Physics B 823 269-287 2009

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TTP09-17 Reconstruction of heavy quark current correlators at O(α<sub>s</sub><sup>3</sup>)

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TTP09-17 Reconstruction of heavy quark current correlators at O(&alpha;<sub>s</sub><sup>3</sup>)

TTP09-17 Reconstruction of heavy quark current correlators at O(α<sub>s</sub><sup>3</sup>)