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

TL;DR

This paper employs stochastic four-point correlator techniques, including the one-end trick, to accurately compute pion and rho-meson form factors and charge distributions in N_F=2 QCD.

Contribution

It introduces the application of the one-end trick for four-point functions to extract meson form factors in lattice QCD, demonstrating its effectiveness.

Findings

Successful extraction of pion and rho-meson charge distributions.

Validation of the one-end trick for four-point correlator calculations.

Enhanced accuracy in meson form factor determination.

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.