Isthe weak scale natural? This ever pending question makes the search for newparticle production a highly motivated primary goal of the next LHC phase.These searches may or may not be successful. While waiting for a needed higherenergy collider to extend the direct exploration, the search for signs of newphysics might be confined to indirect tests for quite some time. In a few fullycalculable models, I compare the significance to measure the Higgs couplingsversus the electroweak observables.

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