Renormalization functions of the tricritical O(N)-symmetric Φ6 model beyond the next-to-leading order in 1/N

We investigate higher-order corrections to the effective potential of the tricritical O ( N )-symmetric Φ 6 model in 3-2 ε dimensions in its phase exhibiting spontaneous breaking of its scale symmetry. The renormalization group β -function and the anomalous dimension γ of this model are computed up to the next-to-next-to-leading order in the1/N expansion technique and using a dimensional regularization in a minimal subtraction scheme.