Hierarchical Markovian algorithm in QCD evolution

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A general formalism was introduced for reorganization of QCD evolution equations and derivation of hierarchical solution to DGLAP equation. The hierarchical solution separates two types of parton emissions: the flavour changing emissions and the diagonal ones (bremsstrahlung). It has been shown that both of the achieved processes are of the Markovian type, what gives a nice possibility of Monte Carlo implementation. Hierarchical algorithm has been implemented and crosschecked with standard Markovian algorithm implemented in program EvolFMC.
To appear in the proceedings of 43rd Rencontres de Moriond QCD and High Energy Interactions, La Thuile, Italy, 8-15 March 2008

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