The Higgs and the Multiverse

The Higgs has created a lot of headaches it seems. Because it's turning out to have properties, this fine tuning. Some people call it a multiverse. Mundamely, the parameters could just be different in different patches of the universe. But who knows how big the universe is? Who knows how the parameters vary? And if the universe is vast enough, there should be locations where the mass of the Higgs is sort of anomalous.