The Research Of New Physical Effect In The Higgs Boson Rare Production

The standard model theory, expressed by SU(3) × SU(2) × U (1) group, is a theory which unifies the electromagnetic, weak, and strong interaction. And a large number of accurate laboratory inspection has been done on this theory. As for this theory, it is one of the best theories to describe the interaction of particle physics system. Being more worthy attention, in this model, it predicts the Higgs on obtaining quality source of elementary particles-(Higgs) particle-it is one of the most important research topics in high-energy physics today. In the 2012 European large hadron collider (LHC), ATLAS and CMS two experimental groups jointly announced that they observed a new particle around 125 GeV, the nature of this particle is very similar to the Higgs particle predicted under the standard model. After confirming, they announced that it had been discovered the last particle under the standard model. However, up to now, we have lacked understanding of the electroweak symmetry mechanism which has not ended with the discovery of new particles. For this purpose, we take the research of new physical effect in the Higgs boson rare production in this thesis.With the constant improvement of the energy and the unceasing accumulation of brightness on the LHC, there is an expectation of building a more clean background, higher energy linear electron-position collider or photon collider at the same time. For those which are currently rare or decay, which would be able to find a new signal. There will be a very good effect on studying the characteristic, quality and category of the Higgs particle. Meanwhile, to test some new physical models has big expectations.In this thesis, we have studied the rare occurrence process e+e- â†' hγ in the future electron-positron collider. This research needs to consider that the flavour physics, electroweak precise measurements, the Higgs data, dark matter detecting all kinds of restrictions, and under the restrictions of the MSSM parameters space for the scan. Then according to the survival pa- rameters calculation the section value of the process e+e- â†' hγ. We have found that:(1) in the one-loop diagram, the two gauge couplings hγγ and hZγ make contribution in process e+e- â†' hγ, (2) a light stau superparticle can be greatly increase the cross section, when the collider energy respectively under 240 (350) GeV in MSSM of the cross section compare in SM of the cross section of the rare process ratio was 1.47 (1.38), respectively. These results suggest, when there is a high brightness of the Higgs factory, we can pass the process e+e- â†' hγ to study and probe the anomalous coupling hγγ and hZγ in MSSM.In addition, the investigation concerning about the Higgs pair production through the non-standard top-Higgs coupling studies in the future collider is also involved in this thesis. For the starting point of this research is that we will find the new physical effect, the higgs-self coupling and the top-higgs coupling also play an impact influencing factor of Higgs pair production. So according to the latest Higgs related data, and through the LHC and ILC-based photon collider, we have studied th higgs pair production which has the non-standard top-Higgs coupling participation, results show that the existence of top-higgs abnormal coupling, which has changed the original t quarks, W boson contribution in the one-loop diagram, caused the Higgs pair production cross section in the LHC (energy in 14 TeV) and ILC (energy in 500 GeV) with the projections in SM, in the 2σ Higgs data allowed within the scope of the parameters of the 3 times and 2 times,respectively. This results will be a great guiding significance for the discovery of new physics。...