Phenomenology of Minimal Composite Double Higgs Model

Abstract

Higgs mechanism was a method to give mass into all particle in Standard Model. In 2012 research center CERN had detect Higgs particle with mass around 125 GeV. This data was not suitable with calculation, where based on Standard Model in high energy there are radiative correction to Higgs mass, so that Higgs have extremely heavy mass, we called these phenomena as hierarchy problem. Because of that reason there must be new theory based from Standard Model that can describe these phenomena, one of the theory is composite Higgs model where Higgs was a composite from Goldstone boson from symmetry breaking. Using Composite Higgs Model for minimal case and some modification to double Higgs. With this model we calculate Higgs mass correction and had same form of Higgs mass correction in Standard Model with extra term of , where ξ was one properties in composite Higgs and for ξ → 0 the model become back to Standard Model. Then we calculate the cut-off energy of the model with Renormalization Group Equation by Callan-Symanzik and give us cut-off energy at 106 GeV scale which far from GUT energy scale, so this model still acceptable. Otherwise This energy much higher than LHC energy, so we can not do direct observation then use Peskin-Takeuchi parameter which describe sign for new physics at high scale with calculation of vacuum polarization and the calculation results still fit with experiment data.