On Asymptotic Safety in the Litim–Sannino Model

In the $${\text{SU}}({{N}_{c}})$$ gauge theory with $${{N}_{f}}$$ color quarks and $$N_{f}^{2}$$ colorless complex scalars, an expression for the nontrivial ultraviolet fixed point is obtained as an expansion in the Veneziano parameter up to the third order. The fixed point has a one-dimensional UV critical surface and perturbatively implements the asymptotic safety scenario. The conformal window and the spectrum of anomalous dimensions of different operators are discussed. Proceedings of the Scientific session of the Nuclear Physics Section of the Physical Sciences Division of the Russian Academy of Sciences, April 1–5, 2024.