TY  - EJOUR
AU  - Manashov, A. N.
AU  - Moch, S.
AU  - Shumilov, Leonid
TI  - Anomalous dimensions at small spins
IS  - arXiv:2506.05132
M1  - PUBDB-2025-05164
M1  - arXiv:2506.05132
M1  - DESY-25-077
PY  - 2025
N1  - 31 pages, 3 figures
AB  - 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.
KW  - Conformal and W Symmetry (autogen)
KW  - Renormalization and Regularization (autogen)
KW  - Renormalization Group (autogen)
KW  - Scale and Conformal Symmetries (autogen)
LB  - PUB:(DE-HGF)25
DO  - DOI:10.3204/PUBDB-2025-05164
UR  - https://bib-pubdb1.desy.de/record/641753
ER  -