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Description
We present a lattice QCD calculation of the pion and kaon form factor and explore the generalized form factors of the one-derivative vector operator. We also give an update of our results of $\langle x \rangle$, $\langle x^2 \rangle$, and $\langle x^3 \rangle$. We use an ensemble of two degenerate light, a strange and a charm quark $(N_f=2+1+1)$ of maximally twisted mass fermions with clover improvement. The quark masses are chosen to reproduce a pion mass of about 260 MeV and a kaon mass of 530 MeV. We analyze several values of the source-sink time separation within the range of 1.12 - 2.23 fm to study and eliminate excited-states contributions.