Radion stabilization in the Randall-Sundrum model with qudratic and quartic potentials

Abstract

In this report we investigate the Goldberger-Wise (GW) mechanism of radion stabilization with quartic potential on the hidden brane and quadratic potential on the visible brane. The advantage of our simplified scenario over the original GW mechanism is that the modulus potential can be evaluated for finite $\lv$ and $\lh$. This enables us to probe how the modulus potential behaves over the entire range of $\lh$. By staying away from the GW limit of ${k \over \lv v_v^2} \to $0 and ${k \over \lh v_h^2}\to $0 we show that it is possible to choose the parameters of the model so that the potential exhibits a minimum at $k\rc \approx$ 12 and this adjustment does not involve any extreme fine tuning of parameters.