On the pion distribution amplitude. Derivation, properties, predictions

Abstract

We provide an in-depth analysis of the $\pi$ distribution amplitude in terms of two different Gegenbauer representations. Detailed predictions for the $\pi -\gamma$ transition form factor are presented, obtained with light-cone sum rules. Various $\pi$ distribution amplitudes are tested and the crucial role of their endpoint behavior in the form-factor analysis is discussed. Comparison with the data is given.

arXiv comment7 pages, 3 figures. Based on talk by first author at LIGHTCONE 2014, May 26-30, 2014, Raleigh, NC, USA. Accepted for publication in Few-Body Systems

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Cited by in corpus (11)

• Hadron tomography by generalized distribution amplitudes in pion-pair production process ${\gamma }^{\ast }\gamma \to {\pi }^0{\pi }^0$ and gravitational form factors for pion
• Systematic estimation of theoretical uncertainties in the calculation of the pion-photon transition form factor using light-cone sum rules
• Spin effects in the pion holographic light-front wavefunction
• Chimera distribution amplitudes for the pion and the longitudinally polarized $\rho$-meson
• Pion-photon transition form factor in LCSR and tests of asymptotics
• The ${\gamma }^{\ast }{\gamma }^{\ast }\to {\eta }_c(1S,2S)$ transition form factors for spacelike photons
• Parton Distribution in Pseudoscalar Mesons with a Light-Front Constituent Quark Model
• Matching lightcone- and anomaly-sum-rule predictions for the pion-photon transition form factor
• Calculation of the pion-photon transition form factor using dispersion relations and renormalization-group summation
• Form factor ${\pi }^0{\gamma }^{\ast }\gamma$ in lightcone sum rules combined with renormalization-group summation vs experimental data
• Improved estimates of the pion-photon transition form factor in the $(1\le {\mathbf{Q}}^2\le 5)$~GeV${}^2$ range and their theoretical uncertainties