Abstract
We study the Randall-Sundrum model with two branes. The Standard Model fields are localized on the brane with a negative tension, the gravitational field and scalar Goldberg-Wise field propagate in the multidimensional bulk. For this model we construct the Lagrangian for the scalar fluctuations of the gravitational and scalar fields above a background solution. We obtain an effective four-dimensional Lagrangian, which contains nonlinear self-interaction terms of the radion field up to the fourth order and nonlinear interactions of the radion and the Standard Model fields.
Highlights
The radion field and a massive radion, the lowest Kaluza-Klein (KK) mode, are a prediction of stabilized brane world models
Speaking the radion field comes from the scalar fluctuations of the metric in extra dimension and the stabilizing scalar field [1]
The RandallSundrum model [2] with stabilizing scalar field proposed by Goldberger and Wise [3] and worked out by DeWolfe, Freedman, Gubser and Karch [4]
Summary
The radion field and a massive radion, the lowest Kaluza-Klein (KK) mode, are a prediction of stabilized brane world models. The RandallSundrum model [2] with stabilizing scalar field proposed by Goldberger and Wise [3] and worked out by DeWolfe, Freedman, Gubser and Karch [4]. This model takes into account the backreaction of the metric on the scalar field by solving exactly the coupled equations for these fields. In the case of on-shell fermions the interaction Lagrangian is the same as for the Higgs boson, but for off-shell fermions additional terms have to be taken into consideration It was shown [5,6] that many processes involving the radion and SM fermions are similar to the processes involving the fermions and the Higgs boson The investigation of Higgs boson production is an important task for experimental measurements. It becomes important to perform a more detailed study of the radion self-interaction, in particular, to obtain the radion potential and nonlinear interactions of the radion with the Standard Model fields
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