I've been following it fairly closely. The answer is, or appears to be beyond any reasonable doubt, that SOME Higgs exists. Loosely, there are several different theories which include the Higgs Boson and in theory there are slightly different properties associated with it. Primarily this is the number of different types of Higgs boson. The Standard Model, the Model that we use at the moment, predicts just a single boson. Since this model is incomplete anyway, we expect an extension to be needed. In one of these, Supersymmetry, there are expected instead to be 5 Higgs bosons. Other theories might include more, or fewer, Higgs-like bosons.
At the moment we know enough about this new particle to say with confidence that it is a Higgs boson, doing all the things we want it to, and in the latest round of studies I believe they decided that it had spin zero, which is one essential property. The doubt though is about which of the models best describes the particles we have found, and is a question that will hopefully be answered in the next five years or so.