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Yang-Mills-Higgs theory is quite a remarkable theory in that it shows verydifferent behaviors without phase transitions. It is dominated by theBrout-Englert-Higgs mechanism in some domain of the phase diagram, while it isessentially QCD-like in another. It is expected that albeit there is noqualitative difference, there are substantially quantitative differencesthroughout the spectrum. This is investigated using lattice theory for the caseof the scalar singlet channel for more than a hundred different points in thephase diagram. It is found that the results deviate partly substantially fromthe expectations in some cases, but in others justify the picture of a weaklyinteracting theory - even in cases of rather strong interactions at theultraviolet cutoff.

On the phase diagram and the singlet scalar channel in Yang-Mills-Higgs theory