The scalar sector of $SU(2)$ gauge theory with $N_F=2$ fundamental flavours

We present a first non perturbative study of the flavour singlet scalar and pseudoscalar spectrum of $SU(2)$ gauge theory with two fundamental Dirac flavours. This theory provides a minimal template for a wide class of Standard Model extensions featuring novel strong dynamics. After having discussed our computational method, we present our new results for the $\sigma$, $\eta '$ and $a_0$ states. We evaluate the relevant disconnected contributions and ob tain benchmark results that are crucial input for model building. This work summarises our recent contribution.