Abstract
Since 2012, the discovery of the Higgs boson at the LHC opens a door for us to reveal the nature of this universe. After LHC Run I, almost all the analysis for the Higgs measurements shows the SM Higgs is the best-fit candidate. Even though the SM fit the data well, there are some unsolved problem, i.e. neutrino mass, dark matter, the hierarchy problem leading us go deeper. The large uncertainty due to the low luminosity give spaces to the BSM physics. Measurements for Higgs related processes open us a window to see what is behind this newly found about 125 GeV boson. Higgs-boson pair production is well known being capable to probe the trilinear self-coupling of the Higgs boson, which is one of the important ingredients of the Higgs sector itself. Pair production then depends on the top-quark Yukawa coupling $g_t^{S,P}$, Higgs trilinear coupling $\lambda_{3H}$, and a possible dim-5 contact-type $ttHH$ coupling $g_{tt}^{S,P}$, which may appear in some higher representations of the Higgs sector. We take into account the possibility that the top-Yukawa and the $ttHH$ couplings involved can be CP violating. Associated production of the Higgs boson with a single top quark proceeds through Feynman diagrams, which are either proportional to the $hWW$, top-Yukawa, or the bottom-Yukawa couplings. It was shown in literature that the interference between the top-Yukawa and the gauge-Higgs diagrams can be significant, and thus the measurement of the cross sections can help pin down the sign and the size of the top-Yukawa coupling. In this thesis, I will review two BSM models, experimental results, Higgs precision studies and the works on Higgs related processes : Higgs pair production, vector boson fusion, single top and Higgs associated production and $b\bar{b} h$ production.