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

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 $ϕ^Q\rightarrow Qϕ$ 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 \cite{Badel:2019oxl, Antipin:2020abu}, where the leading and subleading terms in the large $Q$ limit were obtained using a semiclassical method.

preprint2022arXivOpen access
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