Abstract
Using the Resonance Chiral Theory Lagrangian, we perform a calculation of the vector form factor of the pion at the next-to-leading order (NLO) in the 1/N C expansion. Imposing the correct QCD short-distance constraints, one fixes the amplitude in terms of the pion decay constant F and resonance masses. Its low momentum expansion determines then the corresponding \( \mathcal{O}\left( {{p^4}} \right) \) and \( \mathcal{O}\left( {{p^6}} \right) \) low-energy chiral couplings at NLO, keeping control of their renormalization scale dependence. At μ 0 = 0.77 GeV, we obtain L 9(μ 0) = (7.9 ± 0.4) ∙ 10−3 and C 88(μ 0) − C 90(μ 0) = (−4.6 ± 0.4) ∙ 10−5 .
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Pich, A., Rosell, I. & José Sanz-Cillero, J. The vector form factor at the next-to-leading order in 1/N C : chiral couplings L9(μ) and C88(μ) − C90(μ). J. High Energ. Phys. 2011, 109 (2011). https://doi.org/10.1007/JHEP02(2011)109
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DOI: https://doi.org/10.1007/JHEP02(2011)109