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

Abstract

We consider a generalized Randall Sundrum (RS) brane world scenario with a cosmological constant induced on the visible brane. We show that for < 0, resolution of the hierarchy problem requires an upper bound on the magnitude of . The corresponding tension on the visible brane can be positive or negative. On the other hand, there is no such bound for > 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 +10−124 (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.