Analytic reconstruction of heavy-quark two-point functions at O(αs3)

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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 at O(αs3) from the Taylor expansion at q2=0, the threshold expansion at q2=4m2 and the high-energy expansion at q2→-, 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. © 2012 American Physical Society.
Original languageEnglish
Article number054008
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume85
Issue number5
DOIs
Publication statusPublished - 13 Mar 2012

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