Pion and $\rho$-meson form factors using four-point functions in N$_F$=2 QCD

Abstract

Hadron wave functions and form factors can be extracted using four-point correlators. Stochastic techniques are used to estimate the all to all propagators, which are required for the exact calculation of four-point functions. We apply the so called one-end trick to evaluate meson four-point functions. We demonstrate the effectiveness of the technique in the case of the pion and the $\rho$-meson where we extract their charge distribution, as well as the form factors.