OPE-RchiT matching at order alpha_s: hard gluonic corrections to three-point Green functions

Abstract

In this work we push the matching between the QCD operator product expansion (OPE) and resonance chiral theory (RchiT) to order alpha_s. To this end we compute two- and three-point QCD Green functions (GFs) in both theories and compare the results. GFs which are order parameters of chiral symmetry breaking make this matching more transparent and thus we concentrate on those. On the OPE side one needs to calculate the hard-gluon virtual corrections to the quark condensate, and in particular for three-point GFs this computation was hitherto missing. We also discuss the need for including the infinite tower of hadronic states in the hadronic representation of the GF when non-analytic terms such as logarithms are present in the OPE Wilson coefficients.

21 pages, 2 figures

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Cited by in corpus (7)

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• 1/N_c and 1/n preasymptotic corrections to Current-Current correlators
• OPE of Green Functions of Chiral Currents
• Chiral corrections to the f_V^T/f_V ratio for vector mesons
• On the three-point order parameters of chiral symmetry breaking
• Status of the Lattice and Tau Decay Determinations of alpha_s