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

Abstract

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 α0 states. We evaluate the relevant disconnected contributions and obtain benchmark results that are crucial input for model building. This work summarises our recent contribution[1].