Manashov, Alexander N. and Moch, S. and Shumilov, L. A. (2025) Anomalous dimensions at small spins. JOURNAL OF HIGH ENERGY PHYSICS (9): 106. ISSN 1029-8479
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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 phi 4 model at the four-loop level, in the complex phi 3 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GROSS-NEVEU MODEL; CONFORMAL BOOTSTRAP CALCULATION; DOUBLE-LOGARITHMIC ASYMPTOTICS; 3-LOOP SPLITTING FUNCTIONS; CRITICAL EXPONENTS; 1/N EXPANSION; POMERANCHUK SINGULARITY; REGGE SINGULARITIES; COMPOSITE-OPERATORS; GAUGE-FIELDS; Conformal and W Symmetry; Renormalization and Regularization; Renormalization Group; Scale and Conformal Symmetries |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 18 Jun 2026 06:44 |
| Last Modified: | 18 Jun 2026 06:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/66911 |
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