Holography, chiral Lagrangian and form factor relations

Abstract

We derive all the O(p^6) 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 O(p^4) 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 O(p^6) 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 gamma*->pi pi and pi->gamma gamma* matrix elements.

minor changes, references added

References in corpus (26)

• Linear Confinement and AdS/QCD
• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• QCD and dimensional deconstruction
• Light scalar mesons in the soft-wall model of AdS/QCD
• Towards a consistent estimate of the chiral low-energy constants
• Abelian anomaly and neutral pion production
• Chiral Perturbation Theory Beyond One Loop
• Revisiting γγ->π^+π^- at low energies
• On the Pion Distribution Amplitude Shape
• Form Factors in the radiative pion decay
• A Rational Approach to Resonance Saturation in large-Nc QCD
• γ*γ\rightarrow π^0 transition form factor at low-energies from a model-independent approach
• Anomalous Form Factor of the Neutral Pion in Extended AdS/QCD Model with Chern-Simons Term
• Pion in the Holographic Model with 5D Yang-Mills Fields
• On the Radiative Pion Decay
• Form-factors and current correlators: chiral couplings L_10(mu) and C_87(mu) at NLO in 1/N(C)
• Vector Meson Dominance as a first step in a systematic approximation: the pion vector form factor
• A rational approximation to <VV-AA> and its O(p^6) low-energy constant
• Pi pi scattering lengths at O(p^6) revisited
• Tests of the naturalness of the coupling constants in ChPT at order p^6
• On different lagrangian formalisms for vector resonances within chiral perturbation theory
• $O(p^6)$ extension of the large--$N_C$ partial wave dispersion relations
• On the relation between low-energy constants and resonance saturation
• Holography and Anomaly Matching for Resonances
• Antisymmetric tensors in holographic approaches to QCD
• Determination of the Anomalous Chiral Coefficients of order $p^6$

Cited by in corpus (22)

• Mesonic low-energy constants
• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• New $\tau$-based evaluation of the hadronic contribution to the vacuum polarization piece of the muon anomalous magnetic moment
• Consistent high-energy constraints in the anomalous QCD sector
• 2, 12, 117, 1959, 45171, 1170086, ...: A Hilbert series for the QCD chiral Lagrangian
• The order $p^8$ mesonic chiral Lagrangian
• Fingerprints of heavy scales in electroweak effective Lagrangians
• Holographic QCD and the muon anomalous magnetic moment
• Nucleon's axial-vector form factor in the hard-wall AdS/QCD model
• The masses of vector mesons in holographic QCD at finite chiral chemical potential
• From the Sakai-Sugimoto Model to the Generalized Skyrme Model
• Derivation of the effective Chiral Lagrangian for pseudoscalar, scalar, vector and axial-vector mesons from QCD
• Chiral effective theories from holographic QCD with scalars
• Low-energy photon and pion scattering in holographic QCD
• Large-distance properties of holographic baryons
• On the minimality of the order p^6 chiral Lagrangian
• Son-Yamamoto relation and Holographic RG flows
• New method for fitting the low-energy constants in chiral perturbation theory
• Revisiting the chiral effective action in holographic models
• Bayesian method for fitting the low-energy constants in chiral perturbation theory
• On Effective Actions from Holography
• Sakai-Sugimoto Model in an Off-Shell: Chiral Lagrangian to All Orders