Title : Theoretical upper bounds for Higgs boson masses Author : Miroslav Kladiva Department: Institute of Theoretical Physics Supervisor: Prof. Jiri Horejsi, DrSc. Supervisor's e-mail address: horejsi@ipnp.troja.mff.cuni.cz Abstract : In this work we examine, the perturbative (tree-level) unitarity bound, also called Lee-Quigg-Thacker (LQT) bound, for Higgs boson masses. First it is done in the case of the electroweak Standard Model (SM), for which this method has been originally invented. We summarize briefly the basic concepts and properties of SM with emphasis on high-energy behaviour of scattering amplitudes. We recover the original result 1 TeV and improved result 707 GeV for the Higgs mass upper bound. Next we employ this method to find upper bounds for Higgs boson masses within Two Higgs Doublet Model (THDM). Two possibilities are distinguished: first, the model without flavour-changing neutral processes in leading order, where we obtain the upper bounds for all Higgs boson masses involved in THDM with smallest bound being 411 GeV; second, a model admitting in general flavour-changing neutral processes in lowest order, where we obtain the dependence of upper bounds on a parameter related to such type of processes. Keywords: Standard Model, Electroweak interactions, Unitarity bound, Higgs boson mass, Two Higgs Doublet Model