%0 Electronic Article
%A Manashov, A. N.
%A Moch, S.
%A Shumilov, Leonid
%T Anomalous dimensions at small spins
%N arXiv:2506.05132
%M PUBDB-2025-05164
%M arXiv:2506.05132
%M DESY-25-077
%D 2025
%Z 31 pages, 3 figures
%X In perturbation theory, the anomalous dimensions of twist-two operators have poles at negative or small positive integer values of spin and therefore must be resummed at these points. It was observed earlier that a certain quadratic combination of the anomalous dimensions remains finite at the right-most singularities, providing an efficient tool for resummation. In this paper, we analyze the small-spin behavior of the anomalous dimensions for all types of twist-two operators in the O(N)-symmetric φ<sup>4</sup> model at the four-loop level, in the complex φ<sup>3</sup> model at the three-loop level, and the Gross-Neveu-Yukawa model at the two-loop level. We find that the behavior of the anomalous dimensions at singular points is consistent with theoretical expectations, and we present expressions for the resummed anomalous dimensions.
%K Conformal and W Symmetry (autogen)
%K Renormalization and Regularization (autogen)
%K Renormalization Group (autogen)
%K Scale and Conformal Symmetries (autogen)
%F PUB:(DE-HGF)25
%9 Preprint
%R 10.3204/PUBDB-2025-05164
%U https://bib-pubdb1.desy.de/record/641753