On consistent determination of $\alpha_s$ from jet rates in deep   inelastic scattering
  For theoretically consistent determination of $\alpha_s$ from jet rates in deep inelastic scattering the dependence on $\alpha_s$ of parton distribution functions is in principle as important as that of hard scattering cross--sections. For the kinematical region accessible at HERA we investigate in detail numerical importance of these two sources of the $\alpha_s$ dependence of jet rates. 
Jiri Chyla and Jiri Rames