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PUBDB-2025-05164

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Anomalous dimensions at small spins

Manashov, A. N. ; Moch, S.Extern* ; Shumilov, L. (Corresponding author)Extern*

2025

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Please use a persistent id in citations: doi:10.3204/PUBDB-2025-05164

Report No.: DESY-25-077; arXiv:2506.05132

Abstract: 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.

Keyword(s): Conformal and W Symmetry ; Renormalization and Regularization ; Renormalization Group ; Scale and Conformal Symmetries

Note: 31 pages, 3 figures

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Contributing Institute(s):

1. Uni Hamburg / Theorie (UNI/TH)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)409651613 - FOR 2926: Next Generation Perturbative QCD for Hadron Structure: Preparing for the Electron-Ion Collider (409651613) (409651613)

Experiment(s):

1. No specific instrument

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Manashov, A. N. ; Moch, S.Extern* ; Shumilov, L. (Corresponding author)Extern*
Anomalous dimensions at small spins
Journal of high energy physics 09(9), 106 (2025) [10.1007/JHEP09(2025)106]2025     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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