Pion distribution amplitude from holographic QCD and the electromagnetic form factor F_pi(Q2)

TL;DR

This paper uses holographic QCD to predict the pion distribution amplitude and calculates the electromagnetic form factor, comparing results with experimental data and other models to validate the approach.

Contribution

It introduces a novel combination of holographic QCD predictions with light-cone sum rule calculations for the pion form factor.

Findings

Predicted form factors agree with experimental data

Holographic QCD provides a reliable pion distribution amplitude

Comparison with other models shows consistent results

Abstract

The holographic QCD prediction for the pion distribution amplitude (DA) $\phi_{hol}(u)$ is used to compute the pion spacelike electromagnetic form factor $F_{\pi}(Q^2)$ within the QCD light-cone sum rule method. In calculations the pion's renormalon-based model twist-4 DA, as well as the asymptotic twist-4 DA are employed. Obtained theoretical predictions are compared with experimental data and with results of the holographic QCD.