This paper evaluates the European Paradox according to which Europe plays a leading world role in terms of scientific excellence, measured in terms of the number of publications, but lacks the entrepreneurial capacity of the US to transform this excellent performance into innovation, growth, and jobs. Citation distributions for the US, the European Union (EU), and the Rest of the World are evaluated using a pair of high and low impact indicators, as well as the mean citation rate (MCR). The dataset consists of 3.6 million articles published in 1998 2002 with a common 5 year citation window. The analysis is carried at a low aggregation level, namely, the 219 sub fields identified with the Web of Science categories distinguished by Th...