Adler function and Bjorken polarized sum rule: Perturbation expansions in powers of the S U (N c ) conformal anomaly and studies of the conformal symmetry limit

@article{Cvetivc2016AdlerFA,
  title={Adler function and Bjorken polarized sum rule: Perturbation expansions in powers of the S U (N c ) conformal anomaly and studies of the conformal symmetry limit},
  author={Gorazd Cvetivc and Andrei L. Kataev},
  journal={Physical Review D},
  year={2016},
  volume={94},
  pages={014006}
}
We consider a new form of analytical perturbation theory expansion in the massless $SU({N}_{c})$ theory, for the nonsinglet part of the ${e}^{+}{e}^{\ensuremath{-}}$-annihilation to hadrons Adler function ${D}^{ns}$ and of the Bjorken sum rule of the polarized lepton-hadron deep-inelastic scattering ${C}_{ns}^{Bjp}$, and demonstrate its validity at the $O({\ensuremath{\alpha}}_{s}^{4})$-level at least. It is a two-fold series in powers of the conformal anomaly and of $SU({N}_{c})$ coupling… 
Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the β-factorization property?
A bstractThe problem of scheme and gauge dependence of the factorization property of the renormalization group β-function in the SU(Nc) QCD generalized Crewther relation (GCR), which connects the
The three-loop Adler D-function for N=1$$ \mathcal{N}=1 $$ SQCD regularized by dimensional reduction
A bstractThe three-loop Adler D-function for N=1$$ \mathcal{N}=1 $$ SQCD in the DR¯$$ \overline{\mathrm{DR}} $$ scheme is calculated starting from the three-loop result recently obtained with the
Riemann $\zeta(4)$ function contributions to $O\left({\alpha_s}^5\right)$ terms of Adler D-function and Bjorken polarized sum rule in $SU\left(N_c\right)$ QCD: results and consequences
Two renormalization group invariant quantities in quantum chromodinamics (QCD), defined in Euclidean space,namely, Adler D-function of electron-positron annihilation to hadrons and Bjorken polarized
The $\{\beta\}$-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order $O(\alpha_s^4)$
: We derive explicit expressions for the elements of the { β } -expansion for the nonsinglet Adler D A -function and Bjorken polarized sum rules S Bjp in the N 4 LO using recent results by Chetyrkin
The scheme-independent generalized Crewther relation in QCD using the single-scale approach of the principle of maximum conformality.
In the paper, we study the generalized Crewther Relation (GCR) between the Adler function ($D$) and Gross-Llewellyn Smith sum rule for the polarized deep-inelastic electron scattering ($C^{\rm GLS}$)
On a realization of {β}-expansion in QCD
A bstractWe suggest a simple algebraic approach to fix the elements of the {β}-expansion for renormalization group invariant quantities, which uses additional degrees of freedom. The approach is
The {β}-expansion formalism in perturbative QCD and its extension
A bstractWe discuss the {β}-expansion for renormalization group invariant quantities tracing this expansion to the different contractions of the corresponding incomplete BPHZ R-operation. All of the
Optimized determination of the polarized Bjorken sum rule in pQCD
We discuss and improve the determination of polarized Bjorken sum rule $\Gamma_1$ in two different ways: phenomenological determination of $\Gamma_1^\text{exp}$ by means of integration of the spin
Ambiguities of the principle of maximum conformality procedure for hadron collider processes
In any calculation in perturbative Quantum Chromodynamics (QCD) a choice needs to be made for the unphysical renormalisation scale, $\mu_R$. The Brodsky-Lepage-Mackenzie/Principle of Maximum
...
...