Abstract
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 language | English |
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Article number | 014 |
Journal | Journal of High Energy Physics |
Volume | 2008 |
Issue number | 7 |
DOIs | |
Publication status | Published - 1 Jul 2008 |
Keywords
- 1/N expansion
- Chiral lagrangians
- QCD