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arXiv · 2212.00207

Calculation of the pion charge radius from an improved model-independent method

Kohei Sato·Hiromasa Watanabe·Takeshi Yamazaki
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Abstract

We propose a new improved model-independent method for calculating the pion charge radius. In a recently-proposed model-independent method for the pion charge radius, we find it difficult to compute the pion charge radius for small pole mass $M_{\rm{pole}}^2$ and volume due to systematic errors coming from finite volume effect and higher-order contamination of the Taylor expansion of the form factor. We circumvent this difficulty by introducing a new appropriate function and propose a modified method that can calculate the pion charge radius with less systematic errors in the small $M_{\rm{pole}}^2$ and volume cases. As preliminary results, we check that our improved model-independent method works well on a mockup data and also an actual lattice QCD data at the pion mass of 0.51 GeV.

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Kohei Sato, Hiromasa Watanabe, Takeshi Yamazaki. 2022-12-01. Calculation of the pion charge radius from an improved model-independent method. https://arxiv.org/abs/2212.00207

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