The decomposed photon anomalous dimension in QCD and the $\{\beta\}$-expanded representations for the Adler function
Abstract
This work is devoted to the study of the -expansion of the perturbative expressions for the annihilation Adler function and for the related renormalization group functions, namely for the photon vacuum polarization function and its anomalous dimension in QCD at the order. We emphasize that is not a conformal-invariant contribution to and, therefore, for a consistent analysis it is necessary to decompose its higher-order PT coefficients in powers of the -function coefficients in the same way as for the Adler function. The arguments in favor of this statement are given. The comparison of the and PMC/BLM approximants are demonstrated.Theoretical and phenomenologically related consequences of this comparison are briefly commented.
Cite
@article{arxiv.2309.03994,
title = {The decomposed photon anomalous dimension in QCD and the $\{\beta\}$-expanded representations for the Adler function},
author = {A. L. Kataev and V. S. Molokoedov},
journal= {arXiv preprint arXiv:2309.03994},
year = {2023}
}
Comments
The version accepted for publication in Phys.Rev.D 9 october 2023 and published 27 November 2023 after several tours of exellent edditing by the EDITOR of PRD and careful clarifications by the authors; content remaining the same as in the original version, apart of number of style clarifications, unsufficient analytical misprint is removed; conclusions remain the same