TY  - JOUR
AU  - Manashov, A. N.
AU  - Moch, S.
AU  - Shumilov, Leonid
TI  - Anomalous dimensions at small spins
JO  - Journal of high energy physics
VL  - 09
IS  - 9
SN  - 1126-6708
CY  - Heidelberg
PB  - Springer
M1  - PUBDB-2025-01737
M1  - DESY-25-077
M1  - arXiv:2506.05132
SP  - 106
PY  - 2025
N1  - 31 pages, 3 figures
AB  - 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 φ<sup>4</sup> model thiscombination describes the corrections to masses of higher-spin fields in the context of the conjectured duality with the gauge theoryon AdS<sub>4</sub>.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 φ<sup>4</sup> model at the four-loop level, in the complex φ<sup>3</sup> 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.
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)16
DO  - DOI:10.1007/JHEP09(2025)106
UR  - https://bib-pubdb1.desy.de/record/628933
ER  -