The Precise Study Of Associative Production Of Higgs And Gauge Boson In High Energy Collider

Understanding the mechanism of electroweak symmetry breaking is the most important issue in particle physics. Based on the standard picture of elementary particles in the quantum field theory, the vacuum expectation value (VEV) of the Higgs scalar field triggers the spontaneous breakdown of the electroweak gauge symmetry.Although the standard model predicts the existence of the Higgs boson, the mass of such a particle is not given, which makes it too difficult to find the particle in experiments. After forty years searching, on June 4,2012, a new boson with mass around 125 GeV was observed by ATLAS and CMS collaborations at the LHC of CERN. So far, all experiments have proved that the new particle has the same properties, interactions and decay mode with the Higgs boson predicted by the standard model in many aspects.Since the interactions between Higgs boson and gauge bosons are sensitive to the new physics, any modifications of the Higgs gauge couplings will lead to the deviation of the standard model predictions from the Higgs data. Besides, the Higgs gauge couplings are strongly related to the anomalous triple vector bosons vertex. Thus, the precise study of Higgs gauge couplings is important, which is not only a key for testing the standard model, but also a new window to search for new physics. Therefore, the study of Higgs gauge couplings has a great meaning in testing the standard model and searching for new physics.In this thesis, we study the gauge couplings between Higgs and ZW, Zy in details with the process pp�' HZW±in high energy hadron collider and the process e+e-�' HZy in high energy electron-positron collider. The next-to-leading order corrections of these two processes are calculated. On-shell renormalization is adopted, and corresponding counter terms are added to cancel the ultraviolet divergences in the loop diagrams. Two cutoff phase space slicing method is adopted to isolate the infrared divergences in real photon/gluon emission corrections. Software packages, such as FeynArts, FormCalc, LoopTools, CompHEP, etc., are used to perform numerical calculations. Besides, the software package MadGraph is used to perform collider simulation.The next-to-leading order corrections greatly change the cross sections of these two processes calculated in the leading order in the framework of standard model. For the process pp �' HZW± in 14 TeV LHC, the one-loop QCD correction can reach 46%, and the next-to-leading order correction reduces the results of electric charge asymmetry of the process. For the process e+e- �' HZγ at 240,300,350 GeV electron-positron collider, the next-to-leading order electroweak correction to cross sections can approach-30%,-12%,-9.8%, respectively.Furthermore, some suggestions are proposed to eliminate background and enhance the observability in high energy collider. At 14 TeV LHC, the transverse momentum distribution of the anti-muon that comes from the decay of final state particle W+ is presented, which has a peak around 40 GeV (～mw/2). The two b-jets are incline to fly back-to-back since they come from the Higgs boson. For the process e+e- �' HZγ, the next-to-leading order correction greatly reduces the leading order cross section where the photon has a small transverse momentum ρT. At a 240 GeV collider, large number of events are generated in the region where the transverse momentum of photon is less than 20 GeV; while at a 350 GeV collider, the transverse momentum of photon can be larger.These results have an important instructive meaning to precisely measuring of Higgs gauge couplings, proving the correctness of standard model and the searching of new physics.