Four-loop QCD analysis of the Bjorken sum rule

Khandramai, V. L.; Pasechnik, Roman; Shirkov, D. V.; Solovtsova, O. P.; Teryaev, Oleg

doi:10.1016/j.physletb.2011.11.023

Cited by 52 publications

(53 citation statements)

References 49 publications

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“…This is consistent with the conclusions about the applicability of the APT approach in Bjorken Polarized Sum Rule at low Q, Ref. [41], where the authors included other nonperturbative effects via higher-twist terms.…”

Section: Numerical Resultssupporting

confidence: 91%

Gluon propagator in fractional analytic perturbation theory

2014

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We consider the gluon propagator in the Landau gauge at low spacelike momenta and with the dressing function Z(Q 2 ) at the two-loop order. We incorporate the nonperturbative effects by making the (noninteger) powers of the QCD coupling in the dressing function Z(Q 2 ) analytic (holomorphic) via the Fractional Analytic Perturbation Theory (FAPT) model, and simultaneously introducing the gluon dynamical mass in the propagator as motivated by the previous analyses of the Dyson-Schwinger equations. The obtained propagator has behavior compatible with the unquenched lattice data (N f = 2 + 1) at low spacelike momenta 0.4 GeV < Q 10 GeV. We conclude that the removal of the unphysical Landau singularities of the powers of the coupling via the (F)APT prescription, in conjunction with the introduction of the dynamical mass M ≈ 0.62 GeV of the gluon, leads to an acceptable behavior of the propagator in the infrared regime.

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Section: Numerical Resultssupporting

confidence: 91%

Gluon propagator in fractional analytic perturbation theory

2014

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“…When these results for BSR are compared with different experimental data [60,61,63,74,75,76] and the predictions made in Ref. [77,78,79,80] along with QCD predictions up to NNLO corrections [69], we have observed a very good consistency among them.…”

supporting

confidence: 66%

Small-x Behavior of Non-singlet Spin Structure Function and Bjorken Sum Rule with pQCD Correction up to NNLO and Higher Twist Correction

Nath¹,

Sarma²

2017

Int J Theor Phys

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A calculation of the non-singlet part of spin dependent structure function, xg N S 1 (x, Q 2 ) and associated sum rule, the Bjorken Sum rule up to next-next-to-leading order(NNLO) is presented. We use a unified approach incorporating Regge theory and the theoretical framework of perturbative Quantum Chromodynamics. Using a Regge behaved model with Q 2 dependent intercept as the initial input, we have solved the Dokshitzer-GribovLipatov-Altarelli-Parisi (DGLAP) evolution equation up to NNLO at small-2 ) and the solutions are utilised to calculate the polarised Bjorken sum rule(BSR). We have also extracted the higher twist contribution to BSR based on a simple parametrisation. These results for both of xg2 ) and BSR, along with higher twist corrections are observed to be consistent with the available data taken from SMC, E143, HERMES, COM-PASS and JLab experiments. In addition, our results are also compared with that of other theoretical and phenomenological analysis based on different models and a very good agreement is also observed in this regard. Further a very good consistency between our calculated results and theoretical QCD predictions of BSR is also achieved.

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“…We plan to perform an analogous analysis in the framework of the analytic perturbation theory [32][33][34].…”

Section: Discussionmentioning

confidence: 99%

Search for short strings ine⁺e⁻-annihilation

Kozhevnikova¹,

Oganesian²,

Teryaev³

2017

EPJ Web Conf.

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Abstract. In this work the behavior of power corrections to Adler function in operator product expansion (OPE) is studied, in particular the possible contribution of operator of dimension 2. The OPE terms of dimension 4 and 6 are taken into account. Various experimental data on reactions of e + e − -annihilation to pion channels (π + π − , 2π + 2π − , π + π − 2π 0 , 3π + 3π − , 2π + 2π − 2π 0 ) are used. The high-precision fits of the experimental data are obtained and used. The method based on Borel transformation of Adler function is applied. It is shown that the contribution of operator of dimension 2 is negative being compatible to zero at three standard deviations level. The strong (anti)correlation between short string and local gluon condensate is found.

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Four-loop QCD analysis of the Bjorken sum rule

Cited by 52 publications

References 49 publications

Gluon propagator in fractional analytic perturbation theory

Gluon propagator in fractional analytic perturbation theory

Small-x Behavior of Non-singlet Spin Structure Function and Bjorken Sum Rule with pQCD Correction up to NNLO and Higher Twist Correction

Search for short strings ine⁺e⁻-annihilation

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Four-loop QCD analysis of the Bjorken sum rule

Cited by 52 publications

References 49 publications

Gluon propagator in fractional analytic perturbation theory

Gluon propagator in fractional analytic perturbation theory

Small-x Behavior of Non-singlet Spin Structure Function and Bjorken Sum Rule with pQCD Correction up to NNLO and Higher Twist Correction

Search for short strings ine+e−-annihilation

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About

Search for short strings ine⁺e⁻-annihilation