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 σ ,η ′ and a0 states. We evaluate the relevant disconnected contributions and obtain benchmark results that are crucial input for model building. This work summarises our recent contribution.