NMC and the Fine-Tuning Problem on the Brane

Abstract EN

We propose a new solution to the fine-tuning problem related to coupling constant λ of the potential.

We study a quartic potential of the form λϕ4 in the framework of the Randall-Sundrum type II braneworld model in the presence of a Higgs field which interacts nonminimally with gravity via a possible interaction term of the form -(ξ/2)ϕ2R.

Using the conformal transformation techniques, the slow-roll parameters in high energy limit are reformulated in the case of a nonminimally coupled scalar field.

We show that, for some value of a coupling parameter ξ and brane tension T, we can eliminate the fine-tuning problem.

Finally, we present graphically the solutions of several values of the free parameters of the model.