The challenge with the results from the LHC is that there's no second one, so no completely independent reproduction. That said, there were two experiments which were seperate apart from using the LHC for the collisions, and both of them have published their full raw data and methods of analysis, so a fabrication would require falsifying quite a large quantity of raw data in a way that hasn't been detected yet, and co-ordination between quite a lot of people.