Shape of Pion Distribution Amplitude

Abstract

A scenario is investigated in which the leading-twist pion distribution amplitude phi_pi (x) is approximated by the pion decay constant f_pi for all essential values of the light-cone fraction x. A model for the light-front wave function Psi(x,k_perp) is proposed that produces such a distribution amplitude and has a rapidly decreasing (exponential for definiteness) dependence on the light-front energy combination k_perp^2/x(1-x). It is shown that this model easily reproduces the fit of recent large-Q^2 BaBar data on the photon-pion transition form factor. Some aspects of scenario with flat pion distribution amplitude are discussed.

References added, typos fixed, one figure added, some minor changes in text

References in corpus (6)

• Measurement of the gamma gamma* --> pi0 transition form factor
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• On the Pion Distribution Amplitude Shape
• Generalized parton distributions of the pion in chiral quark models and their QCD evolution
• Pion transition form factor and distribution amplitudes in large-Nc Regge models
• Selected topics in e^+e^- collisions

Cited by in corpus (101)

• QCD and strongly coupled gauge theories: challenges and perspectives
• The Physics of the B Factories
• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Explanation and Prediction of Observables using Continuum Strong QCD
• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• The pion: an enigma within the Standard Model
• Abelian anomaly and neutral pion production
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• Evolved QCD predictions for the meson-photon transition form factors
• Measurement of the gamma gamma* --> eta and gamma gamma* --> eta' transition form factors
• Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
• Structure of the neutral pion and its electromagnetic transition form factor
• Relativistic constituent quark model with infrared confinement
• γ*γ\rightarrow π^0 transition form factor at low-energies from a model-independent approach
• Second Moment of the Pion Light-cone Distribution Amplitude from Lattice QCD
• Comparing antithetic trends of data for the pion-photon transition form factor
• The form factors for the photon to pseudoscalar meson transitions - an update
• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• An Implication on the Pion Distribution Amplitude from the Pion-Photon Transition Form Factor with the New BABAR Data
• Pion-photon transition---the new QCD frontier
• ${\gamma }^{\ast }\gamma \to \eta ,{\eta }^{\prime }$ transition form factors
• Pion distribution amplitude from lattice-QCD
• BELLE Data on the ${\pi }^0\gamma \ast \gamma$ Form Factor: A Game Changer?
• Can we understand an auxetic pion-photon transition form factor within QCD? BaBar faces Belle
• Towards a fitting procedure to deeply virtual meson production -- the next-to-leading order case --
• Constraints on the Light Pseudoscalar Meson Distribution Amplitudes from Their Meson-Photon Transition Form Factors
• Axial anomaly as a collective effect of meson spectrum
• Systematic estimation of theoretical uncertainties in the calculation of the pion-photon transition form factor using light-cone sum rules
• Pion transition form factor in the Regge approach and incomplete vector-meson dominance
• The transverse structure of the pion in momentum space inspired by the AdS/QCD correspondence
• On the large-Q^2 behavior of the pion transition form factor
• The pion transition form factor and the pion distribution amplitude
• Pion Distribution Amplitude and Quasi-Distributions
• Transition Form Factors and Mixing of Pseudoscalar Mesons from Anomaly Sum Rule
• Spin effects in the pion holographic light-front wavefunction
• Central exclusive meson pair production in the perturbative regime at hadron colliders
• Subleading power corrections to the pion-photon transition form factor in QCD
• Easy as ${\pi }^o$: On the Interpretation of Recent Electroproduction Results
• Endpoint behavior of the pion distribution amplitude in QCD sum rules with nonlocal condensates
• A combined study of the pion's static properties and form factors
• Axial anomaly and mixing: from real to highly virtual photons
• Holography, chiral Lagrangian and form factor relations
• Gauge invariance, causality and gluonic poles
• Spacelike and timelike form factors for the $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }\gamma$ transitions in the light-front quark model
• Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model
• How the recent BABAR data for P to γγ* affect the Standard Model predictions for the rare decays P to l+l-
• The eta-photon transition form factor
• Universal behaviour of the ${\gamma }^{\ast }\gamma \to ({\pi }^0,\eta ,{\eta }^{\prime })$ transition form factors
• The non-triviality of the vacuum in light-front quantization: An elementary treatment
• ${\pi }^0\to {\gamma }^{\ast }\gamma$ transition form factor within Light Front Quark Model
• Pion to photon transition form factors with basis light-front quantization
• On the ${\gamma }^{\ast }\gamma \to \pi (\eta ,{\eta }^{\prime })$ transition form factors
• Hard exclusive two photon processes in QCD
• The pion distribution amplitude and the pion-photon transition form factor in a nonlocal chiral quark model
• Pion transition form factor in the constituent quark model
• Virtuality Distributions in Application to $\gamma {\gamma }^{\ast }\to {\pi }^0$ Transition Form Factor at Handbag Level
• New results on Pionic Twist-3 Distribution Amplitudes within the QCD Sum Rules
• Model analysis of the world data on the pion transition form factor
• The Pion-Photon Transition Form Factor and New Physics in the Tau Sector
• Influence of confining gluon configurations on the $P\to {\gamma }^{\ast }\gamma$ transition form factors
• Virtuality and Transverse Momentum Dependence of Pion Distribution Amplitude
• New contributions to gluon poles in direct photon production
• Matching lightcone- and anomaly-sum-rule predictions for the pion-photon transition form factor
• gamma^* gamma^* -> pi^0 Form Factor from AdS/QCD
• The photon-pion transition form factor: incompatible data or incompatible models?
• Gluonic components of the pion and the transition form factor ${\gamma }^{\ast }{\gamma }^{\ast }\to {\pi }^0$
• The transverse spin structure of the pion at short distances
• Systematic twist expansion of $({\eta }_c,{\eta }_b)\to {\gamma }^{\ast }\gamma$ transition form factors in light-front quark model
• Power Corrections to Pion Transition Form Factor in Perturbative QCD Approach
• Photon-to-pion transition form factor and pion distribution amplitude from holographic QCD
• Pseudoscalar meson form factors and decays
• Muon g-2, rare decays P \to l^+l^- and transition form factors P \to γγ^*
• A model of a transition neutral pion formfactor measured in annihilation and scattering channels
• Chiral anomaly and the pion properties in the light-front quark model
• Quark-hadron duality, axial anomaly and mixing
• Study of pesudoscalar transition form factors within light front quark model
• The photon to pseudoscalar meson transition form factors
• Pion-photon transition form factor using light-cone sum rules: theoretical results, expectations, and a global-data fit
• Drell-Yan hadron tensor: contour gauge and gluon propagator
• Photon Distribution Amplitudes in nonlocal chiral quark model
• Determination of pion distribution amplitudes from the electromagnetic form factor with the data-driven dispersion relation
• Power corrections to the pion transition form factor from higher-twist distribution amplitudes of photon
• Twist-3 contribution to deeply virtual electroproduction of pions
• Pion-Photon Transition Form Factor and Pion Distribution Amplitude in QCD: Facing the Enigmatic Behavior of the BaBar Data
• $\eta$-$\gamma$ and ${\eta }^{\prime }$-$\gamma$ transition form factors in a nonlocal NJL model
• An updated determination of the pion-photon transition form factor
• Updated pseudoscalar contributions to the hadronic light-by-light of the muon (g-2)
• Light-Front Quark Model Analysis of Meson-Photon Transition Form Factor
• Gravitational form factors in the perturbative limit
• Novel insights into the $\gamma {\gamma }^{\ast }\to {\pi }^0$ transition form factor
• Limit on the pion distribution amplitude
• Pion-photon transition form factor. Living on the QCD frontier
• Probing non-perturbative QCD through hadronic matrix elements extracted from exclusive hard processes
• Method of Analytic Evolution of Flat Distribution Amplitudes in QCD
• Instanton effects on the twist-three light-cone distribution amplitudes of pion and light scalar mesons above 1GeV
• Observations of Chiral Odd GPDs and their Implications
• Low-energy amplitudes in the non-local chiral quark model
• Pion Electromagnetic Form Factor in Virtuality Distribution Formalism
• An analysis of parton distributions in a pion with Bézier parametrizations
• Gauge invariance and gluon poles for direct photon production