Anomalous dimensions at small spins
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913878329262080 |
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| author | Manashov, A. N. Moch, S. Shumilov, L. A. |
| author_facet | Manashov, A. N. Moch, S. Shumilov, L. A. |
| contents | 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 $φ^4$ model at the four-loop level, in the complex $φ^3$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_05132 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anomalous dimensions at small spins Manashov, A. N. Moch, S. Shumilov, L. A. High Energy Physics - Theory High Energy Physics - Phenomenology 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 $φ^4$ model at the four-loop level, in the complex $φ^3$ 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. |
| title | Anomalous dimensions at small spins |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2506.05132 |