Now that some of the graphs are being released you can get an idea of how hard it is to pin down the Higgs. Below is a graph (taken from http://goo.gl/3WCkO) plotting the number of events per unit energy as a function of expected mass. The dotted line is what we would expect if there were no Higgs. The small bump at around 126.5 GeV is the signature of the Higgs. That small bump is (part of) what tells us the Higgs exists.
This is what modern "big science" looks like folks, and it's pretty awesome.
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