IIRC, the LHC has several detectors, and they're each run by different groups. Additionally, they show their findings to other similar installations, and through those 2 methods, they're able to verify their findings. I remember a recent event where some group (Not CERN, I think) had some anomalous results regarding the speed of light being broken, and after being unable to falsify the results themselves, they released their data to the scientific community, basically asking for more eyes to proof their work. It was eventually found to be a glitch in some clock or another a loose connection (Thanks kneo24!), giving a bad reading. But yes, I understand that particle physicists working at installations like these work closely together to confirm (or reject!) each others' findings.