Form-factors and current correlators: Chiral couplings L <inf>10</inf><sup>r</sup>(μ) and C <inf>87</inf><sup>r</sup>(μ) at NLO in 1/N <inf>C</inf>

Antonio Pich, Ignasi Rosell, Juan José Sanz-Cillero

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39 Citations (Scopus)


Using the resonance chiral theory Lagrangian, we perform a calculation of the vector and axial-vector two-point functions at the next-to-leading order (NLO) in the 1/N C expansion. We have analyzed these correlators within the single-resonance approximation and have also investigated the corrections induced by a second multiplet of vector and axial-vector resonance states. Imposing the correct QCD short-distance constraints, one determines the difference of the two correlators Π(t) ≡ Π VV(t)- Π AA(t) in terms of the pion decay constant and resonance masses. Its low momentum expansion fixes then the low-energy chiral couplings L 10 and C 87 at NLO, keeping full control of their renormalization scale dependence. At μ 0 = 0.77 GeV, we obtain L 10r(μ 0) = (-4.40.9)·10 -3 and C 87r(μ 0) = (3.11.1)·10 -5.
Original languageEnglish
Article number014
JournalJournal of High Energy Physics
Issue number7
Publication statusPublished - 1 Jul 2008


  • 1/N expansion
  • Chiral lagrangians
  • QCD


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