Standart modeli genişleten dinamik modellerin ağır leptonlar ile analizi

In this thesis, some analysis of models which are extending the Standard Model with heavy leptons are presented. Effects ofanomalous interactions and string inspired $E_6$ model are investigated for heavy lepton production at future $e^+e^-$ (ILCand CLIC), $ep$ (THERA, LHeC and Linac$\otimes$LHC) and $pp$ (LHC) collisions. Hence, this thesis motivates three new aspects of new physics together, namely, string inspired $E_6$ model, anomalous interactions and a new generation of lepton family. Analytical expressions for the differential cross-sections are derived and numerical results are presented. The production, backgrounds and signatures of heavy leptons are analyzed.It is shown that, with optimal choices of relevant parameters and optimal kinematical cuts, observation of heavy leptons with masses 3000 GeV at Linac$\otimes$LHC and 2750 GeV at ILC is possible in string inspired $E_6$ model while heavy leptons with masses 650 GeV at LHeC, 350 GeV at ILC and 650 GeV at the LHC is possible with anomalous couplings according to the criteria of SS$\geq$3. On the other hand, with the models we used in this thesis, according to the conventional criteria of SS$\geq$3, THERA is not capable for searching heavy lepton signals due to its low luminosity.