Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-08-15
Eur.Phys.J.C50:781-791,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages, 16 figures, revised version, to appear in Eur. Phys. J. C
Scientific paper
10.1140/epjc/s10052-007-0249-z
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 rules approach. The numerical values of the $f^+_{K\pi}(Q^2)$ are compatible with the existing 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 chiral perturbation theory and lattice QCD. The values of the $|f^-_{K\pi}(0)|$ are very 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 $|f^-_{K\pi}(Q^2)|$ can either take up the asymptotic behavior of $\frac{1}{Q^2}$ or decrease more quickly than $\frac{1}{Q^2}$, more experimental data are needed to select the ideal sum rules.
Wan Shao-Long
Wang Zhi-Gang
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