On Asymptotic safety in 4D gauge theory with additional dimension=4 operators

Abstract: We study interacting fixed points of simple quantum field theory in four-dimensional $SU(N_c)$ coupled to $N_f$ species of color fermions and $N_f^2$ colorless scalars in the Veneziano limit. Using the rich structure of all possible quartic scalar operators, we find an interacting conformal fixed point with stable vacua and crossovers inbetween. We perform calculations in perturbation theory up to four loop in the gauge and three loop in the Yukawa and scalar couplings. We also consider anomalous dimensions for fields, scalar mass squared, and a class of dimension-three operators.