Proof of "God Particle" Found

Does the Standard Model / SUSY allow for an additional boson? Does the math still work out?

As far as I'm aware, the math behind the basic Standard Model does not allow for more than one Higgs boson, it should have 0 Electrical Charge, 0 Colour Charge and no Spin. I assume the next step is going to be to verify whether these Bosons have those properties or not

If there are multiple Higgs Bosons, that would actually match a model with a (or multiple) Higgs Doublets (or triplets,etc) such as supersymmetric models. I couldn't even begin to guess which one of those models would be likely to come up if there is more than one Higgs, though I would imagine the MSSM (Minimal Super Symmetric Model) which predicts supersymmetric particles while keeping as much of the standard model as possible will be where they start looking to begin with.