Next-to-next-to-leading order fits to CCFR'97 $xF_3$ data and infrared   renormalons
  We briefly summarize the outcomes of our recent improved fits to the experimental data of CCFR collaboration for $xF_3$ structure function of $\nu N$ deep-inelastic scattering at the next-to-next-to-leading order. Special attention is paid to the extraction of $\alpha_s(M_Z)$ and the parameter of the infrared renormalon model for $1/Q^2$-correction at different orders of perturbation theory. The results can be of interest for planning similar studies using possible future data of Neutrino Factories. 
A. L. Kataev (Institute for Nuclear Research, Moscow), G. Parente   (Univ. of Santiago de Compostela, Santiago de Compostela...