…would be too massive? Today I was reading the beatiful post of Tommaso Dorigo about Tevatron results on the hunt for Higgs and an old idea come back to my mind. We all know why for the sake of Standard Model one need a small Higgs mass but, so far, such low mass particle has been not seen. We all are aware that the least result of LHC would be the unveiling of the generation mass mechanism in the Standard Model that is a must for the model to survive but we can have surprises. One of these surprises could be a too massive Higgs. This will mean that, at higher energies, our ability to do perturbation theory for electro-weak interactions will blatantly fail and such interactions would become as strong as strong interactions. But there is one more aspect of this situation that is somewhat unexpected. We have recently treated a strongly coupled Goldstone scalar field (here and here) and we have found in the strong coupling limit, besides the ordinary massless excitation, a tower of excited states and this is what one should observe if the Higgs particle is too massive. By “too massive” we mean a mass beyond 1 TeV. I have no checked yet but I believe that also in this case the classical theory admits an exact solution. More to say in the near future.
Update: There has been a post by Lubos Motl (see here) where he argues that Fermilab data favor a light Higgs and supersymmetry. Indeed I hope this will prove to be the right scenario because so we have our cake and we eat it! Finally, D0 Collaboration presented a press release and this seems an important step beyond to Higgs discover.