  There is no doubt about the fact that entanglement and nonlocality are
distinct resources. It is acknowledged that a clear illustration of this point
is the difference between maximally entangled states and states that maximally
violate a Bell inequality. We give strong evidence that this anomaly may be an
artefact of the measures that have been used to quantify nonlocality. By
reasoning that the numeric value of a Bell function is akin to a witness rather
than a quantifier, we define a measure of nonlocality and show that, for pairs
of qutrits and of four-level systems, maximal entanglement does correspond to
maximal nonlocality in the same scenario that gave rise to the discrepancy.
