Optimized determination of the polarized Bjorken sum rule in pQCD

Kotlorz, D.; Михайлов, С. В.

doi:10.1103/physrevd.100.056007

Cited by 11 publications

(5 citation statements)

References 50 publications

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“…The dependence of the Bjorken coefficient function on the squared Euclidean momentum was extracted from the experimental data of e.g. the CLAS Collaboration [61] (Jefferson Lab) (see also the detailed experimentally-oriented review [62]), the COMPASS Collaboration [63] (CERN) and was utilized for comparison with theoretical predictions of the QCD [64]. For the recent low energy investigations of the Bjorken sum rule, see [65].…”

Section: Jhep05(2022)028mentioning

confidence: 99%

The $$ \overline{\mathrm{MS}} $$-scheme $$ {\alpha}_s^5 $$ QCD contributions to the Adler function and Bjorken polarized sum rule in the Crewther-type two-fold {β}-expanded representation

Goriachuk

Kataev

Molokoedov

2022

J. High Energ. Phys.

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We consider the two-fold expansion in powers of the conformal anomaly and of the strong coupling αs for the non-singlet contributions to Adler D-function and Bjorken polarized sum rule calculated previously in the $$ \overline{\mathrm{MS}} $$ MS ¯ -scheme at the four-loop level. This representation provides relations between definite terms of different loop orders appearing within the {β}-expansion of these quantities. Supposing the validity of this two-fold representation at the five-loop order and using these relations, we obtain some $$ \mathcal{O} $$ O ($$ {\alpha}_s^5 $$ α s 5 ) corrections to the D-function, to the R-ratio of e+e−-annihilation into hadrons and to Bjorken polarized sum rule. These corrections are presented both analytically in the case of the generic simple gauge group and numerically for the SU(3) color group. The arguments in the favor of validity of the two-fold representation are given at least at the four-loop level. Within the {β}-expansion procedure the analytical Riemann ζ4-contributions to the five-loop expressions for the Adler function and Bjorken polarized sum rule are also fixed for the case of the generic simple gauge group.

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Section: Jhep05(2022)028mentioning

confidence: 99%

The $$ \overline{\mathrm{MS}} $$-scheme $$ {\alpha}_s^5 $$ QCD contributions to the Adler function and Bjorken polarized sum rule in the Crewther-type two-fold {β}-expanded representation

Goriachuk

Kataev

Molokoedov

2022

J. High Energ. Phys.

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“…We perform the similar analysis for two renormalization-group invariant physical quantities, namely Adler D-function of electromagnetic vector currents [43], related to the total cross-section of electron-positron annihilation to hadrons and Bjorken polarized deep-inelastic lepton-nucleon scattering (DIS) sum rule [44]. The dependence of the Bjorken coefficient function on the squared Euclidean momentum was extracted from the experimental data and employed for the comparison with the theoretical predictions of QCD [45] (see also [46] for a review). In the case of the D-function the comparison of the QCD predictions with the experimentally-motivated data was performed in [47].…”

Section: Introductionmentioning

confidence: 99%

Riemann $ζ(4)$ function contributions to $O\left({α_s}^5\right)$ terms of Adler D-function and Bjorken polarized sum rule in $SU\left(N_c\right)$ QCD: results and consequences

Goriachuk¹,

Kataev²

2020

Preprint

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Two renormalization group invariant quantities in quantum chromodinamics (QCD), defined in Euclidean space, namely, Adler Dfunction of electron-positron annihilation to hadrons and Bjorken polarized deep-inelastic scattering sum rule, are considered. It is shown, that the 5-th order corrections to them in MS-like renormalization prescriptions, proportional to Riemann ζ-function ζ (4), can be restored by the transition to the C-scheme, with the β-function, analogous to Novikov, Shifman, Vainshtein and Zakharov exact β-function in N = 1 supersymmetric gauge theories. The general analytical expression for these corrections in SU (N c ) QCD is deduced and their scale invariance is shown. The β-expansion procedure for these contributions is performed and mutual cancellation of them in the 5-th order of the generalized Crewther identity are discussed.

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“…Here, we briefly present an effective method which allows one to determine any sum rule value from the experimental data in the available restricted kinematic range of the Bjorken variable x. The method was elaborated in [11,20] for the Bjorken sum rule, and successfully applied to the experimental data at COMPASS, SLAC and JLab [11,[20][21][22].…”

Section: Tmm Methods For Determination Of Sum Rulesmentioning

confidence: 99%

Evaluation of the Gottfried sum with use of the truncated moments method

Kotlorz¹,

Kotlorz²,

Teryaev³

2021

Preprint

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We reanalyze the experimental NMC data on the nonsinglet structure function F p 2 − F n 2 and E866 data on the nucleon sea asymmetry d/ū using the truncated moments approach elaborated in our previous papers. With help of the special truncated sum one can overcome the problem of the unavoidable experimental restrictions on the Bjorken x and effectively study the fundamental sum rules for the parton distributions and structure functions. Using only the data from the measured region of x, we obtain the Gottfried sum 1 0 F ns 2 /x dx and the integrated nucleon sea asymmetry 1 0 ( d − ū) dx. We compare our results with the reported experimental values and with the predictions obtained for different global parametrizations for the parton distributions. We also discuss the discrepancy between the NMC and E866 results on 1 0 ( d − ū) dx. We demonstrate that this discrepancy can be resolved by taking into account the higher-twist effects.

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Optimized determination of the polarized Bjorken sum rule in pQCD

Cited by 11 publications

References 50 publications

The $$ \overline{\mathrm{MS}} $$-scheme $$ {\alpha}_s^5 $$ QCD contributions to the Adler function and Bjorken polarized sum rule in the Crewther-type two-fold {β}-expanded representation

The $$ \overline{\mathrm{MS}} $$-scheme $$ {\alpha}_s^5 $$ QCD contributions to the Adler function and Bjorken polarized sum rule in the Crewther-type two-fold {β}-expanded representation

Riemann $ζ(4)$ function contributions to $O\left({α_s}^5\right)$ terms of Adler D-function and Bjorken polarized sum rule in $SU\left(N_c\right)$ QCD: results and consequences

Evaluation of the Gottfried sum with use of the truncated moments method

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