Pion form factors in the epsilon regime

TL;DR

This paper presents a method to extract pion form factors in the epsilon regime by using correlator ratios to eliminate finite volume effects, with preliminary lattice results aligning with experimental data.

Contribution

Introduces a novel approach using correlator ratios to accurately determine pion form factors in the epsilon regime, reducing finite volume effects.

Findings

Preliminary lattice results agree with experimental pion charge radius.

Method effectively removes dominant finite volume effects.

Approach applicable to other form factor calculations.

Abstract

We consider how to extract the pion form factors in the epsilon regime. Using the correlators with non-zero momenta and taking appropriate ratios of them, we eliminate the dominant finite volume effect from the zero-momentum pion mode. Our preliminary lattice result for the pion charge radius is consistent with the experiment.