Limit on the pion distribution amplitude

Abstract

The pion distribution amplitude (DA) can be related to the fundamental QCD Green's functions as a function of the quark self-energy and the quark-pion vertex, which in turn are associated with the pion wave function through the Bethe-Salpeter equation. Considering the extreme hard asymptotic behavior in momentum space allowed for a pseudoscalar wave function, which is limited by its normalization condition, we compute the pion DA and its second moment. From the resulting amplitude, representing the field theoretical upper limit on the DA behavior, we calculate the photon-pion transition form factor $F_{\pi \gamma {\gamma }^{\ast }}(Q^2)$. The resulting upper limit on the pion transition form factor is compared with existing data published by CLEO, BaBar and Belle collaborations.

10 pages, 2 figures; version to appear in J. Phys. G

References in corpus (6)

• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• On the Pion Distribution Amplitude Shape
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• QCD effective charge and the structure function $F_2$ at small-$x$
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