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.

7 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

References in corpus (7)

• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Comparing antithetic trends of data for the pion-photon transition form factor
• What binds quarks together at different momentum scales? A conceptual scenario
• Polarized and unpolarized $\mu$-pair meson-induced Drell--Yan production and the pion distribution amplitude

Cited by in corpus (3)

• Pion-photon transition form factor in LCSR and tests of asymptotics
• 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