Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-02-25
Prog.Theor.Phys.120:77-98,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
28 pages, 6 figures
Scientific paper
10.1143/PTP.120.77
The gauge-Higgs unification is one of influential scenarios to solve the hierarchy problem in the Standard Model. Recently, the scenario on the warped background attracts many attentions due to a large possibility to construct a realistic model naturally in this framework. It is, however, well known that the effective potential for the Higgs field, which is the most important prediction of the scenario, is not easy to calculate on the warped background, because masses of Kaluza-Klein particles are not obtained analytically. In this article, we derive useful formulae for the effective potential. The formulae allow us to calculate the Higgs mass easily, thus to construct a realistic model in the gauge-Higgs unification scenario on the warped background. Using obtained formulae, we calculate contributions from bulk fermions with several boundary conditions. We also show bulk fermions, which have boundary conditions not allowed in the orbifold picture, do not contribute to the effective potential.
Haba Naoyuki
Matsumoto Shigeki
Okada Nobuchika
Yamashita Toshifumi
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