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Power-suppressed corrections coming from the end-point integration regions inthe amplitude of the process $\gamma^{*}\gamma \to \pi \pi$ at large $Q^2$ andsmall squared center-of-mass energy $W^2$ are calculated in the QCDhard-scattering approach where the amplitudes factorize in a hardperturbatively calculable part and a generalized distribution amplitude. Therunning coupling method and the technique of infrared renormalon calculus areapplied to obtain Borel resummed expressions for the two main components of theprocess amplitude. Numerical estimates for these power corrections arepresented. They are sizeable when $Q^2 < 10 GeV^2$.Comment: 15 pages, 5 figure

Power corrections to the process $\gamma^{*}\gamma \to \pi\pi$ in the running coupling method