Large hierarchy from extra dimensions

We argue that the familiar gauge hierarchy between the fundamental Planck scale $M_{Pl}$ and the electroweak scale $M_{W}$, can be naturally explained in higher dimensional theories with relatively large radii ($R_c > 1/M_{Pl}$) extra dimensions. In particular, we show that it is possible that the electroweak Higgs mass at high energies is of the order of $M_{Pl}$, but radiative corrections drive it to an infrared stable fixed-point $\sim M_{W}$ at low energies thus inducing a large hierarchy without any fine tuning of parameters.