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We present a first Lattice Quantum Chromodynamics (QCD) prediction for the electromagnetic form factors (EMFFs) of the pion and kaon up to very large momentum transfers, i. e. , Q² 10 and 28 GeV², respectively. Our calculations utilize Wilson-clover fermions within the Nf=2+1 Highly Improved Staggered Quark (HISQ) ensemble at the physical point. For pion, we employ a lattice spacing of a=0. 076 fm, and for kaon, we use two spacings, a=0. 04 and 0. 076 fm, to mitigate discretization effects. The renormalized results indicate a rapid increase in Q²F (Q²) at lower Q² values, which then stabilize for both pion and kaon. Notably, our findings align well with existing experimental data, establishing a reliable QCD benchmark for future experimental analyses from JLab12, EicC, and EIC.
Shi et al. (Wed,) studied this question.