"We cannot explain the observed effect in terms of known systematic uncertainties. There, the measurement indicates a neutrino velocity higher than the speed of light."
I just watched the live webcast by CERN discussing the years of research that lead to the conclusion that neutrinos travel slightly faster than photons i.e. faster-than-light travel (BBC article). This is why I love science. The scientists aren't saying they broke the light-speed barrier. They're showing all of their work to the world and inviting everyone to pick it apart and prove them wrong.
They measured the time it took neutrinos to cover a distance of 500 miles and it turned out to be about 60 nano-seconds less than it would take light to cover the same distance. To make sure that they didn't have any measurement errors, they took into account the rotation of the Earth, change in curvature of the surface of Earth due to the position of the Moon, continental drift due to earthquakes or other natural events, and movement of Earth through space. They also took into account all equipment and experimental delays and possible systematic uncertainties. They made sure no outliers were affecting the sampling average. After considering everything that could cause incorrect measurement, they conclude that the neutrinos are moving faster than the speed of light.
If a flaw is found in their research or experiments, it will further strengthen the speed-of-light as the ultimate barrier to speed. If other scientists can validate the research and conclude that it is indeed true, then it will be a major discovery. Unfortunately, it does not mean warp-drives from Star Trek.