Inclusion of the QCD next-to-leading order corrections in the quark-gluon Monte Carlo shower

Methodology of including the QCD NLO corrections in the quark-gluon Monte Carlo shower is outlined. Present work concentrates on two issues: (i) constructing once again the leading order (LO) parton shower Monte Carlo from scratch, such that it is based firmly on the collinear factorization theorems (ii) introducing next-to-leading-order (NLO) corrections to the hard process in this new environment. The presented solution seems to be superior to the other known techniques of adding the NLO corrections to the hard process.The issues of the difference between factorization scheme implemented in the Monte Carlo (MC) and the standard $\bar{MS}$ scheme is addressed. Also the issue of the universality (process independence) is discussed extensively. The principal MC implementation is done for the electroweak boson production process at the LHC, but in order to address the issue of universality and profit from data on parton distributions, the deep inelastic lepton--hadron process is also brought into the MC framework. The other aim of this work is to open possibility of upgrading the LO MC to the NLO level. This problem is partly discussed, but will be fully addressed in a separate publication.