Plain and simple, this is most likely due to a systematic error in their experiment that isn't being properly taken into account. The result would tear apart well established theories that have been tested time and time again in thousands of different ways. Of course that doesn't mean that they're absolutely right but it does mean that any contradictory result has to be initially taken with a grain of salt (kudos to the article writer for doing this). It's easy to mess up a calibration in such a complicated system and 60 nanosecond errors could potentially pop up. It will be interesting to see the results from other labs but I would advise against getting your hopes up for any new physics.