Tau lepton production and decays: perspective of multi-dimensional distributions and Monte Carlo methods

Abstract: Status of tau lepton decay Monte Carlo generator TAUOLA, its main applications and recent developments are reviewed. It is underlined, that in recent efforts on development of new hadronic currents, the multi-dimensional nature of distributions of the experimental data must be taken with a great care: lesson from comparison and fits to the BaBar and Belle data is recalled. It was found, that as in the past at a time of comparisons with CLEO and ALEPH data, proper fitting, to as detailed as possible representation of the experimental data, is essential for appropriate developments of models of tau decay dynamic. This multi-dimensional nature of distributions is also important for observables where tau leptons are used to constrain experimental data. In later part of the presentation,use of the TAUOLA program for phenomenology of W,Z,H decays at LHC is addressed, in particular in the context of the Higgs boson parity measurements. Some new results, relevant for QED lepton pair emission are mentioned as well.