  We investigate the spectrum of the SU(2) gauge theory with $N_f$ = 2 flavors
of fermions in the fundamental representation, in the continuum, using lattice
simulations. This model provides a minimal template which has been used for
different strongly coupled extensions of the Standard Model ranging from
composite (Goldstone) Higgs models to intriguing types of dark matter
candidates, such as the SIMPs. Here we will focus on the composite Goldstone
Higgs paradigm, for which this model provides a minimal UV complete realization
in terms of a new strong sector with fermionic matter. After introducing the
relevant Lattice methods used in our simulations, we will discuss our numerical
results. We show that this model features a SU(4)/Sp(4) $\sim$ SO(6)/SO(5)
flavor symmetry breaking pattern, and estimate the value of its chiral
condensate. Finally, we present our results for the mass spectrum of the
lightest spin one and zero resonances, analogue to the QCD $\rho$, $a_1$,
$\sigma$, $\eta'$, $a_0$ resonances, which are relevant for searches of new,
exotic resonances at the LHC.
