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Traditionally, there has been a method to extract the charge radius of a
hadron based on the fits of its form factor with some model assumptions. In
contrast, a completely different method has been proposed, which does not
depend on the models. In this report, we explore several improvements to this
model-independent method for analyzing the pion charge radius. Furthermore, we
compare the results of the pion charge radius obtained from $N_{f}=2+1$ lattice
QCD data at $m_{\pi}=0.51$ GeV using the three different methods: the
traditional model-dependent method, the original model-independent method, and
our improved model-independent method. In this comparison, we take into account
systematic errors estimated in each analysis.

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