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We check the impact of the factorization scheme employed in the calculationof the heavy-quark deep-inelastic scattering (DIS) electro-production on thePDFs determined in the NNLO QCD analysis of the world inclusive neutral-currentDIS data combined with the ones on the neutrino-nucleon DIS di-muon productionand the fixed-target Drell-Yan process. The charm-quark DIS contribution iscalculated in the general-mass variable-flavor-number (GMVFN) scheme: Atasymptotically large values of the momentum transfer $Q$ it is given by thezero-mass 4-flavor scheme and at the value of $Q$ equal to the charm-quark massit is smoothly matched with the 3-flavor scheme using theBuza-Matiounine-Smith-van Neerven prescription. The PDFs obtained in thisvariant of the fit are very similar to the ones obtained in the fit with a3-flavor scheme employed. Our 5-flavor PDFs derived from the 3-flavor onesusing the NNLO matching conditions are used to calculate the rates of$W^{\pm}/Z$ and $t\bar{t}$ production at the Tevatron collider and the LHC atNNLO.

Variable-Flavor-Number Scheme in Analysis of Heavy-Quark Electro-Production Data