Cosmological constant, brane tension and large hierarchy in a generalized Randall-Sundrum braneworld scenario

We consider a generalized Randall Sundrum(RS) brane world scenario with a cosmological constant Omega induced on the visible brane. We show that for Omega < 0, resolution of the hierarchy problem requires an upper bound on the magnitude of Omega. The corresponding tension on the visible brane can be positive or negative. On the other hand, there is no such bound for Omega > 0. However,in this case, the resolution of the hierarchy problem along with the tuning of the value of the cosmological constant to its observed value closed to +10(-24) (in Planck units) naturally lead to the tuning of the modulus to a small value of inverse Planck length as estimated in the original RS scenario.