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arXiv · 1104.3425

Analytic Reconstruction of heavy-quark two-point functions at O(α_s^3)

David Greynat·Pere Masjuan·Santiago Peris
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Abstract

Using a method previously developed, based on the Mellin-Barnes transform, we reconstruct the two-point correlators in the vector, axial, scalar and pseudoscalar channels from the Taylor expansion at q^2=0, the threshold expansion at q^2=4m^2 and the OPE at q^2\rightarrow -\infty, where m is the heavy quark mass. The reconstruction is analytic and systematic and is controlled by an error function which becomes smaller as more terms in those expansions are known.

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David Greynat, Pere Masjuan, Santiago Peris. 2011-04-18. Analytic Reconstruction of heavy-quark two-point functions at O(α_s^3). https://doi.org/10.1103/physrevd.85.054008

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