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The exclusive $\pi\pi$ and $\rho\pi$ production in hard $\gamma^{\ast}\gamma$scattering in the forward kinematical region where the virtual photon is highlyoff-shell is studied using the $\gamma\to\pi^-$ Transition DistributionAmplitudes obtained in realistic models for the pion. For $\rho\pi$ productionwe confirm the previous estimates before QCD evolution. Nevertheless, onceevolution is taken into account this cross section grows one order ofmagnitude. In the case of $\pi\pi$ production we have evaluated the crosssection including the pion pole contribution. We observe that this contributionis responsible for an enhancement of two orders of magnitude with respect tothe cross section evaluated without the pion pole term.

Enhancement effects in exclusive $\pi\pi$ and $\rho\pi$ production in $\gamma^{\ast}\gamma$ scattering