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The vector form factor at the next-to-leading order in 1/N C : chiral couplings L9(μ) and C88(μ) − C90(μ)

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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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Authors and Affiliations

  1. Departament de Física Teòrica, IFIC, Universitat de València - CSIC, Apt. Correus 22085, E-46071, València, Spain

    Antonio Pich & Ignasi Rosell

  2. Departamento de Ciencias Físicas, Matemáticas y de la Computación, Universidad CEU Cardenal Herrera, c/ Sant Bartomeu 55, E-46115, Alfara del Patriarca, València, Spain

    Ignasi Rosell

  3. Istituto Nazionale di Fisica Nucleare INFN, Sezione di Bari, Via Orabona 4, I-70126, Bary, Italy

    Juan José Sanz-Cillero

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  1. Antonio Pich
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  2. Ignasi Rosell
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  3. Juan José Sanz-Cillero
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Correspondence to Ignasi Rosell.

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ArXiv ePrint : 1011.5771

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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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