Scalar form factors $f_{ππ}(Q^2)$ and $f_{KK}(Q^2)$ with light-cone QCD sum rules

Details Scalar form factors $f_{ππ}(Q^2)$ and $f_{KK}(Q^2)$ with light-cone QCD sum rules Scalar form factors $f_{ππ}(Q^2)$ and $f_{KK}(Q^2)$ with light-cone QCD sum rules

2007-03-08

arxiv.org/abs/hep-ph/0703090v3

J.Phys.G34:2183-2197,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, 13 figures, slight modification

Scientific paper

10.1088/0954-3899/34/10/008

In this article, we calculate the scalar form-factors $f_{\pi\pi}(Q^2)$ and $f_{KK}(Q^2)$ in the framework of the light-cone QCD sum rules approach. The numerical value of the $f_{\pi\pi}(Q^2)$ changes quickly with variation of $Q^2$ near zero momentum transfer, while the $f_{KK}(Q^2)$ has rather good behavior at small momentum transfer. The value $f_{KK}(0) =2.21^{+0.35}_{-0.19} GeV$ is compatible with the result from the leading order chiral perturbation theory. At large momentum transfer with $Q^2> 6GeV^2$, the form-factor $f_{\pi\pi}(Q^2)$ takes up the asymptotic behavior $\frac{1}{Q^2}$ approximately, while the $f_{KK}(Q^2)$ decreases more quickly than $\frac{1}{Q^2}$.

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