English

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

High Energy Physics - Theory 2022-08-30 v3

Abstract

We compute the complete QQ-dependence of anomalous dimensions of traceless symmetric tensor operator ϕQ\phi^Q in O(N)O(N) scalar theory to five-loop. The renormalization factors are extracted from ϕQQϕ\phi^Q\rightarrow Q\phi 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 QQ limit were obtained using a semiclassical method.

Keywords

Cite

@article{arxiv.2205.02535,
  title  = {Five-loop anomalous dimensions of $\phi^Q$ operators in a scalar theory with $O(N)$ symmetry},
  author = {Qingjun Jin and Yi Li},
  journal= {arXiv preprint arXiv:2205.02535},
  year   = {2022}
}

Comments

17 pages, 9 figures