Pion transition form factor and distribution amplitudes in large-Nc Regge models

Abstract

We analyze the pi -> gamma* gamma* amplitude in the framework of radial Regge models in the large-Nc limit. With the assumption of similarity of the asymptotic Regge rho and omega meson spectra we find that the pion distribution amplitude is constant in the large-$N_c$ limit at the scale Q0 where the QCD radiative corrections are absent -- a result found earlier in a class of chiral quark models. We discuss the constraints on the couplings from the anomaly and from the limit of large photon virtualities, and find that the coupling of the pion to excited rho and omega mesons must be asymptotically constant. We also discuss the effects of the QCD evolution on the pion electromagnetic transition form factor. Finally, we use the Regge model to evaluate the slope of the form factor at zero momentum and compare the value to the experiment, finding very reasonable agreement.

8 pages, 3 figures. References and remarks added

References in corpus (39)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Static quark anti-quark interactions in zero and finite temperature QCD. I. Heavy quark free energies, running coupling and quarkonium binding
• The Uses of Conformal Symmetry in QCD
• Systematics of q anti-q states in the (n,M^2) and (J,M^2) planes
• Resonance estimates of O(p^6) low-energy constants and QCD short-distance constraints
• QCD-based pion distribution amplitudes confronting experimental data
• Odd-intrinsic-parity processes within the Resonance Effective Theory of QCD
• Pion and photon light-cone wave functions from the instanton vacuum
• Unbiased analysis of CLEO data at NLO and pion distribution amplitude
• Perturbative Effects in the Form Factor γγ^*\to πand Extraction of the Pion Wave Function from CLEO Data
• Direct measurement of the pion valence quark momentum distribution, the pion light-cone wave function squared
• Pion light-cone wave function and pion distribution amplitude in the Nambu-Jona-Lasinio model
• CLEO and E791 data: A smoking gun for the pion distribution amplitude?
• The Evolution of the Pion Distribution Amplitude in Next-to-Leading Order
• Chiral Sum-Rules for ${\mathcal{L}}_{(6)}^{WZ}$ Parameters and Application to ${\pi }^0,\eta ,{\eta }^{\prime }$ Decays
• Pion light cone wave function in the non-local NJL model
• Spectral quark model and low-energy hadron phenomenology
• Matching Regge Theory to the OPE
• Large-Nc QCD meets Regge theory: the example of spin-one two-point functions
• Tagging the pion quark structure in QCD
• Constraining Quark-Hadron Duality at Large-Nc
• Pion distribution amplitudes within the instanton model of QCD vacuum
• On high $Q^2$ behavior of the pion form factor for transitions ${\gamma }^{\ast }\gamma \to {\pi }^0$ and ${\gamma }^{\ast }{\gamma }^{\ast }\to {\pi }^0$ within the nonlocal quark-pion model
• The Relativistic Bound State Problem in QCD: Transverse Lattice Methods
• On the use of the Operator Product Expansion to constrain the hadron spectrum
• The Second Moment of the Pion Light Cone Wave Function
• Perturbative expansions in QCD and analytic properties of alpha_s
• Impact of the higher twist effects on the $\gamma {\gamma }^{\ast }\to {\pi }^0$ transition form factor
• Pion form factor in large $N_c$ QCD
• Mesons on a transverse lattice
• A Study of Light Mesons on the Transverse Lattice
• Deep inside the pion. Reconciling QCD theory with data
• Quark-Hadron Duality for Hybrid Mesons at Large-Nc
• Distribution of valence quarks and light-cone QCD sum rules
• Electromagnetic proton form factors in large $N_c$ QCD
• Applications of AdS/CFT Duality to QCD
• Transition form factors and light-cone distribution amplitudes of pseudoscalar mesons in the chiral quark model

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• The $\rho {\gamma }^{\ast }\to \pi (\rho )$ transition form factors in the Perturbative QCD factorization approach
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