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The possible existence of Higgs-Higgs bound states in the Higgs sector of theStandard Model is explored using the |hh>+|hhh> variational ansatz of Di Leoand Darewych. The resulting integral equations can be decoupled exactly,yielding a one-dimensional integral equation, solved numerically. We therebyavoid the extra approximations employed by Di Leo and Darewych, and we find aqualitatively different mass renormalization. Within the conventional scenario,where a not-too-large cutoff is invoked to avoid "triviality", we find, asusual, an upperbound on the Higgs mass. Bound-state solutions are only found inthe very strong coupling regime, but at the same time a relatively smallphysical mass is required as a consequence of renormalization.Comment: 4 figure

Variational study of bound states in the Higgs model