Decomposed photon anomalous dimension in QCD and the $\{\beta\}$-expanded representations for the Adler functionстатья
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Дата последнего поиска статьи во внешних источниках: 15 февраля 2024 г.
Аннотация:This work is devoted to the study of the $\{\beta\}$ expansion of the perturbative expressions for the $e^+e^-$ annihilation Adler function $D(Q^2)$ and for the related renormalization group functions, namely, for the photon vacuum polarization function and its anomalous dimension $\gamma(\alpha_s)$ in QCD at the $O(\alpha^4_s)$ order. We emphasize that $\gamma(\alpha_s)$ is not a conformal-invariant contribution to $D(Q^2)$; therefore, for a consistent analysis, it is necessary to decompose its higher-order perturbation theory coefficients in powers of the beta-function coefficients in the same way as for the Adler function. The arguments in favor of this statement are given. The comparison of the ${\rm{\overline{MS}}}$ and principal of maximum conformality and Brodsky-Lepage-Mackenzie scale approximants are demonstrated. We comment briefly on theoretical and phenomenologically related consequences of this comparison.