Five-loop anomalous dimensions of ϕQ 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 ϕQ in O(N) scalar theory to five-loop. The renormalization factors are extracted from ϕQ→ Qϕ 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.