Depending on whether electroweak physics beyond the Standard Model is based
on a linear or on a non-linear implementation of the electroweak symmetry
breaking, a linear or a chiral Effective Lagrangian is more appropriate. In
this talk, the main low-energy signals that allow to recognize whether the
observed Higgs scalar is a dynamical (composite) particle or rather an
elementary one are presented, in a model-independent way. The patterns of
effective couplings produced upon the assumption of specific composite Higgs
models are also discussed.Comment: 8 pages, 1 figure. Proceedings of the talk given at the XXIXth
Rencontres de Physique de la Vall\'ee d'Aoste, La Thuile (Italy), March 201