Abstract
We derive all the \( \mathcal{O}\left( {{p^6}} \right) \) Chiral Perturbation Theory low-energy constants from a class of gravity dual models of QCD described by the Yang-Mills and Chern-Simons Lagrangian terms, with the chiral symmetry broken through boundary conditions in the infrared. All the constants of the odd intrinsic parity sector are universally determined by those at \( \mathcal{O}\left( {{p^4}} \right) \) in the even sector, together with an extra resonance term. A few relations for the even sector couplings are also extracted. Our estimates reasonably agree with the few available \( \mathcal{O}\left( {{p^6}} \right) \) determinations from alternative phenomenological analyses. Some of the relations between low-energy constants are the manifestation, at large distances, of universal relations that we find between form factors in the even and odd sectors, e.g., between the γ * → ππ and π → γγ * matrix elements.
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Colangelo, P., Sanz-Cillero, J.J. & Zuo, F. Holography, chiral Lagrangian and form factor relations. J. High Energ. Phys. 2012, 12 (2012). https://doi.org/10.1007/JHEP11(2012)012
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DOI: https://doi.org/10.1007/JHEP11(2012)012