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

We study interacting ultraviolet fixed points in a modified Litim-Sannino model with additional operators of dimension=4. This is a four-dimensional SU ( N c ) quantum gauge theory coupled to N f species of color fermions and N f 2 colorless scalars, which we study in the Veneziano limit. We investigate the case where the global flavor symmetry SU ( N f ) L × SU ( N f ) R reduces to the diagonal flavor symmetry SU ( N f ). This modification requires new Yukawa interactions and a rich structure of all possible quartic scalar operators. General expressions for the RGEs up to four loops in the gauge and three loops in the Yukawa and quartic couplings in the extended theory with operators of dimension=4 are determined. Fixed points, critical exponents and anomalous dimensions for fields, scalar mass squared, and a class of dimension-three operators are also provided.