Pion transition form factor through Dyson-Schwinger equations

Abstract

In the framework of Dyson-Schwinger equations (DSE), we compute the ${\gamma }^{\ast }\gamma \to {\pi }^0$ transition form factor, $G(Q^2)$. For the first time, in a continuum approach to quantun chromodynamics (QCD), it was possible to compute $G(Q^2)$ on the whole domain of space-like momenta. Our result agrees with CELLO, CLEO and Belle collaborations and, with the well-known asymptotic QCD limit, $2f_{\pi }$. Our analysis unifies this prediction with that of the pion's valence-quark parton distribution amplitude (PDA) and elastic electromagnetic form factor.

arXiv commentTo be published in Journal of Physics Conference Series (IOP). Joint Proceedings of the XV Mexican Workshop on Particles and Fields & the XXX Annual Meeting of the Division of Particles and Fields of the Mexican Physical Society

References in corpus (9)

• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Measurement of the gamma gamma* --> pi0 transition form factor
• Imaging dynamical chiral symmetry breaking: pion wave function on the light front
• Interaction model for the gap equation
• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Pion electromagnetic form factor at spacelike momenta
• Structure of the neutral pion and its electromagnetic transition form factor
• Electromagnetic Transition Form Factors of Light Mesons
• Comparing antithetic trends of data for the pion-photon transition form factor