We study the quantum effects in a brane-world model in which a positive
constant curvature brane universe is embedded in a higher-dimensional bulk AdS
black hole, instead of the usual portion of the AdS5. By using zeta
regularisation, in the large mass regime, we explicitly calculate the one-loop
effective potential due to the bulk quantum fields and show that it leads to a
non-vanishing cosmological constant, which can definitely acquire a positive
value.Comment: 7 page