  We consider scenarios of Higgs compositeness where the Higgs doublet arises
as a pseudo-Nambu Goldstone boson. Our focus is the physical scalar ("radial")
excitation associated with the global symmetry breaking vacuum, which we call
the "global Higgs". For the minimal case of a $SO(5)/SO(4)$ coset, the
couplings of the global Higgs to Standard Model (SM) particles are fully
determined by group theoretical factors and two decay constants. The global
Higgs also couples to the composite resonances of the theory, inducing an
interaction with the SM gauge bosons at one-loop. We thoroughly analyze
representative fermionic sectors, considering a global Higgs both in the $\bf
5$ and $\bf 14$ representations of $SO(5)$ and taking into account the
renormalization group evolution of couplings in the composite sector. We derive
the one-loop effective couplings and all decays of the global Higgs, showing
that its decay width over mass can range from $ O (10^{-3})$ to $ O(1)$.
Because of the multiplicity of the resonances, the coupling of the global Higgs
to gluons is sizeable, potentially opening a new window into composite models
at the LHC.
