Speaker
Description
This study uses the third PACS10 gauge ensemble generated by the PACS Collaboration, providing a large physical volume exceeding $(10\,\mathrm{fm})^4$. This large volume is highly advantageous for determining detailed form factors in the small-$q^2$ region, where the root-mean-square radius, i.e., the axial radius, can be more precisely evaluated. The resulting nucleon axial-vector form factor can contribute to reducing uncertainties in neutrino oscillation experiments. While our results for the axial-vector form factor at two lattice spacings—0.085 fm (coarse) and 0.063 fm (fine)—have already been published, calculations at a third lattice spacing of 0.041 fm (superfine) are currently in progress. In this talk, we present recent updates on the axial form factor and the axial radius obtained from the superfine lattice configurations, which allows us to investigate systematic uncertainties, such as discretization errors.