  We investigate the continuum spectrum of the SU(2) gauge theory with $N_f=2$
flavours of fermions in the fundamental representation. This model provides a
minimal template which is ideal for a wide class of Standard Model extensions
featuring novel strong dynamics that range from composite (Goldstone) Higgs
theories to several intriguing types of dark matter candidates, such as the
SIMPs. We improve our previous lattice analysis [1] by adding more data at
light quark masses, at two additional lattice spacings, by determining the
lattice cutoff via a Wilson flow measure of the $w_0$ parameter, and by
measuring the relevant renormalisation constants non-perturbatively in the
RI'-MOM scheme. Our results for the lightest isovector states in the vector and
axial channels, in units of the pseudoscalar decay constant, are
$m_V/F_{\rm{PS}}\sim 13.1(2.2)$ and $m_A/F_{\rm{PS}}\sim 14.5(3.6)$ (combining
statistical and systematic errors).
  In the context of the composite (Goldstone) Higgs models, our result for the
spin-one resonances are $m_V > 3.2(5)$ TeV and $m_A > 3.6(9)$ TeV, which are
above the current LHC constraints. In the context of dark matter models, for
the SIMP case our results indicate the occurrence of a compressed spectrum at
the required large dark pion mass, which implies the need to include the
effects of spin-one resonances in phenomenological estimates.
