In the talk a generalised method of including the next-to-leading order (NLO) corrections to leading order Monte Carlo samples will be presented. The method has been developed building on the matrix element (ME) reweighting technique. With this technique one can in a fast way include the NLO effects as well as exploit the full theoretical information in a given process. Validation of the method and algorithm will be presented in the pp->ZZ->e+e-mu+mu- channel at 7 TeV. The introduction of anomalous triple gauge boson couplings (aTGC) in the ME will lead to the first results of the NLO effects at non-zero aTGC values.