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As one of the simplest hadronic processes, $\gamma\gamma\rightarrowM^{+}M^{-}$ ($M=\pi,K$) could be a good testing ground for our understanding ofthe perturbative and nonperturbative structure of QCD, and will be studied withhigh precision at BELLE-\RNum{2} in the near future. In this paper, we revisitthese processes with twist-3 corrections in the perturbative QCD approach basedon the $k_{T}$ factorization theorem, in which transverse degrees of freedom aswell as resummation effects are taken into account. The influence of thedistribution amplitudes on the cross sections are discussed in detail. Our workshows that not only the transverse momentum effects but also the twist-3corrections play a significant role in the processes $\gamma\gamma\rightarrowM^{+}M^{-}$ in the intermediate energy region. Especially in the few GeVregion, the twist-3 contributions become dominant in the cross sections. And itis noteworthy that both the twist-3 result of the $\pi^{+}\pi^{-}$ crosssection and that of the $K^{+}K^{-}$ cross section agree well with the BELLEand ALEPH measurements. For the pion and kaon angular distributions, therestill exist discrepancies between our results and the experimentalmeasurements. Possible reasons for these discrepancies are discussed briefly.

Twist-3 contributions to $\gamma\gamma\rightarrow\pi^+\pi^-,K^+K^-$ processes in perturbative QCD approach