A value for the maximal Higgs mass

 Each of the arguments for an upper limit on the Standard Model Higgs mass presented above have small problems mainly lying in the fact that they predict the breakdown of perturbation theory thus predicting a strongly interacting high energy sector of vector boson interactions. The whole concept of the Higgs mechanism as a pertubative expansion around the vacuum expectation value also breaks down.

Lattice theory should in principle be able to avoid this limitation but so far calculations have only been made with a simplified model with the heavy quarks excluded. However, it seems clear that the standard model can not survive without modifications if the Higgs mass is above 1 TeV. Quite small corrections to the standard model can allow higher Higgs masses so a limit at 1 TeV should in no way limit the search at the LHC for Higgs like objects with even higher masses.