Abstract
Abstract In July 2012, ATLAS and CMS collaborations reported the discovery of the Higgs boson. In the standard model(SM), the Higgs self coupling can be seen from observed mass, 125 GeV, and is found to be perturbative value, 0 : 13 . In this thesis, we examine the possibility that the SM is perturbative up to very high scale such as the string scale or Planck scale. We find that there exists triple coincidence within the current uncertainty of the top mass, Higgs mass and strong coupling: , its beta function and bare Higgs mass takes zero around the string/Planck scale. This may be the indication that the flat potential is realized at very high scale. As a phenomenological consequence, it turns out that the Higgs can play the role of an inflaton in the early universe. Although the huge coupling between the Higgs and gravity is needed in the conventional Higgs inflation, we show that the required value of the coupling is drastically reduced in the case of flat potential. In the SM, the Higgs mass suffers from quadratic divergence, which causes the prob- lem of hierarchy. The conventional solution to this problem such as supersymmetry needs new physics near the electroweak scale. However, the discovery of the Higgs boson and no signal of new physics up to 1 TeV imply that it is difficult to solve the hierarchy prob- lem in this direction. It is good time to consider the solution which does not require electroweak scale new physics. One interesting possibility is starting from multi-local action based on baby universe theory. The action is not given by usual local action, but given by multiplication of local action which we call multi-local action. With multi-local action, it can be shown that the parameters in the theory are not indeed parameters, but become dynamical variables. Using this mechanism, we solve the naturalness problem of the Higgs mass as well as the cosmological constant problem and strong CP problem. This thesis is based on Refs. [ 1 , 2 , 3 , 4 , 5 , 6 , 7 ]
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