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(&alpha;<sub

TTP09-17 Reconstruction of heavy quark current correlators at O(&alpha;<sub

s</sub>3) > We construct approximate formulas for the O(&alpha;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 Pad&eacute; 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. Maierh&ouml;fer, P. Marquard
Nuclear Physics B 823 269-287 2009
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