Investigating of Conformal Window in the Litim–Sannino Model at 433 Order

Abstract

We consider a four-dimensional quantum field theory with weakly interacting ultraviolet fixed points up to four loop order for gauge, three loop to Yukawa and quartic scalar beta functions. We compute them for a \(SU({{N}_{c}})\) gauge theory coupled to \({{N}_{f}}\) fundamental fermions and elementary scalars. Moreover, we found fixed point couplings, field and mass anomalous dimensions, and scaling exponents up to the first three non-trivial orders in a small Veneziano parameter. Further, we investigate the size of the conformal window.