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Next steps in development of the KrkNLO method of implementing NLO QCDcorrections to hard processes in parton shower Monte Carlo programs arepresented. This new method is a simpler alternative to other well-knownapproaches, such as MC@NLO and POWHEG. The KrkNLO method owns its simplicity tothe use of parton distribution functions (PDFs) in a new, so-called Monte Carlo(MC), factorization scheme which was recently fully defined for the first time.Preliminary numerical results for the Higgs-boson production process are alsopresented.

New simpler method of matching NLO corrections with parton shower Monte Carlo