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Isn't this why we do independent verification? As far as I know, in Physics a single experiment almost never causes people to re-examine a theory. It's quite likely that there are systemic errors that the experimentalists didn't think of. It's only after numerous independent verifications that people start looking at theories again.

Or did I miss some subtlety in the argument?

Ref: Michelson–Morley experiment (repeated several times and by several people before being accepted), and more recently the superluminal neutrino result which is currently being called an "anomaly" pending verification at other facilities[1].

  1. http://blog.vixra.org/2011/09/19/can-neutrinos-be-superluminal/