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In this article, we calculate the vector form factors $f^+_{K\pi}(Q^2)$ and$f^-_{K\pi}(Q^2)$ within the framework of the light-cone QCD sum rulesapproach. The numerical values of the $f^+_{K\pi}(Q^2)$ are compatible with theexisting theoretical calculations, the central value of the $f^+_{K\pi}(0)$,$f^+_{K\pi}(0)=0.97$, is in excellent agreement with the values from the chiralperturbation theory and lattice QCD. The values of the $|f^-_{K\pi}(0)|$ arevery large comparing with the theoretical calculations and experimental data,and can not give any reliable predictions. At large momentum transfers with$Q^2> 5GeV^2$, the form factors $f^+_{K\pi}(Q^2)$ and $|f^-_{K\pi}(Q^2)|$ caneither take up the asymptotic behavior of $\frac{1}{Q^2}$ or decrease morequickly than $\frac{1}{Q^2}$, more experimental data are needed to select theideal sum rules.Comment: 22 pages, 16 figures, revised version, to appear in Eur. Phys. J.

Analysis of the vector form factors f+ Kπ(Q2) and f- Kπ(Q2) with light-cone QCD sum rules