Five-loop anomalous dimensions of ϕ Q operators in a scalar theory with O(N) symmetry

Abstract

Abstract We compute the complete Q-dependence of anomalous dimensions of traceless symmetric tensor operator ϕ Q in O(N) scalar theory to five-loop. The renormalization factors are extracted from ϕ Q → Q ϕ form factors, and the integrand of form factors are constructed with the help of unitarity cut method. The anomalous dimensions match the known results in [1, 2], where the leading and subleading terms in the large Q limit were obtained using a semiclassical method.

Keywords

• Renormalization and Regularization
• Renormalization Group
• Scattering Amplitudes