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We show how the Higgs boson exchange processes may indicate the occurence ofspecial Higgs boson structures (substructures or peculiar interactions withdark matter) from a possible modification of the s-dependence of their crosssection. We illustrate the simplest example with the $\mu^+\mu^-\to f\bar f$process.

Higgs boson structure from the shape of the cross section in exchange processes