Journal Article

PUBDB-2025-01737

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
Springer Heidelberg

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Please use a persistent id in citations: doi:10.1007/JHEP09(2025)106  doi:10.3204/PUBDB-2025-01737

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

Abstract: Anomalous dimensions of twist-two operators, calculated in perturbation theory, may have poles when spin takes negative or small positive integer values, and therefore have to be resummed at these points. In the case of right-most singularity such resummation can be done using the special combination of anomalous dimensions that remains finite. Remarkably, this combination arises in different contexts. In conformal theory it originates from the mixing of leading Regge trajectoryand its shadow.Moreover, in $O(N)$ vector $\varphi^4$ model thiscombination describes the corrections to masses of higher-spin fields in the context of the conjectured duality with the gauge theoryon $AdS_4$.Finally, it appears in studies of double-logarithmic asymptotics of scattering amplitudes in QCD.In the paper we present the analysis of the small-spin limit of anomalous dimensions for all types of twist-two operatorsin the $O(N)$-symmetric $\varphi^4$ model at the four-loop level, in the complex $\varphi^3$ model at the three-loop level and theGross-Neveu-Yukawa model at the two-loop level. In all cases we find perfect agreement with the predicted singular behaviour.

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. 899 - ohne Topic (POF4-899) (POF4-899)
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

Appears in the scientific report 2025

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Manashov, A. N. ; Moch, S.Extern* ; Shumilov, L. (Corresponding author)Extern*
Anomalous dimensions at small spins
[10.3204/PUBDB-2025-05164]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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