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We calculate the pion and kaon electromagnetic form factors in finite volumefor a generic momentum transfer in space-like region, using SU(3) chiralperturbation theory. To this end, we first find the hadronic matrix element ina new form which is suitable for our calculation in finite volume. We presentour numerical findings for the chiral behavior and finite volume correctionsand compare these for pion and kaon form factors. As a result, for the pionelectromagnetic form factor we find the finite volume correction $\DeltaF^{\pi}_{em} = 0.0041$ at momentum transfer $q^2 = -0.1358$ and for the kaonform factor $\Delta F^{K}_{em} = 0.0029$ at $q^2 = -0.1357$ with $m_{\pi} =0.3128$ and $L = 2.6 fm$ as the linear size of the lattice.

Chiral and volume extrapolation of pion and kaon electromagnetic form factor within SU(3) ChPT