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.

To 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 (2)

• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Comparing antithetic trends of data for the pion-photon transition form factor