Conformal Barrier for New Vector Bosons Decay to the Higgs

The ATLAS collaboration has recently reported excesses about 2.5 sigma at mass around 2 TeV in the diboson channels, which can be identified with new vector bosons as a hint for the new physics. It is shown that spontaneously broken conformal/scale symmetry prohibits new vector bosons decay to the Higgs, which is contrasted to the popular "equivalence theorem" valid only in a special limit not necessarily relevant to the 2 TeV mass. If the decay $V\to WH/ZH$ is not observed in the ongoing Run II of the LHC, then the 125 GeV Higgs can be a dilaton.