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

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

2008-02-19

arxiv.org/abs/0802.2669v2

JHEP0804:040,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 2 figures

Scientific paper

10.1088/1126-6708/2008/04/040

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.

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