  Composite Higgs models are a class of models proposed to address the
hierarchy and naturalness problems associated with the Standard Model
fundamental scalar Higgs. $SU(2)$ with two fundamental flavours is a minimal
model for the composite Higgs sector which is not yet ruled out by experimental
data. We present lattice results for $SU(2)$ with two fundamental mass
degenerate flavours. For the fermion action we use the new exponential clover
Wilson fermion action, which offers $O(a)$ improvement. We discuss tuning the
$c_{\mathrm{SW}}$ parameter through Schr\"{o}dinger functional simulations, the
scale setting of the ensembles using the Wilson gauge flow, and the low energy
spectroscopy of the theory including the masses of the pseudoscalar isotriplet
Goldstone bosons and the vector isotriplet.
