High precision determination of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>Q</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>evolution of the Bjorken sum

Deur, A.; Prok, Y.; Burkert, Volker; Crabb, D.; Girod, F. X.; Griffioen, K. A.; Guler, N.; Kuhn, S. E.; Kvaltine, N. D.

doi:10.1103/physrevd.90.012009

Cited by 54 publications

(95 citation statements)

References 83 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We find that χP T describes our results for Γ 1 only up to very moderate Q 2 ≈ 0.08 GeV 2 (within our statistical and systematic uncertainties), while there is only rough agreement in magnitude between χP T and our data for the forward spin polarizability γ 0 . Finally, we would like to refer the reader to a recent analysis of the world data [103], including the data presented here, to study the first moment of the difference g p 1 − g n 1 and its Q 2 -dependence to extract Operator Product Expansion matrix elements.…”

Section: Discussionmentioning

confidence: 99%

Precise determination of the deuteron spin structure at low to moderateQ2with CLAS and extraction of the neutron contribution

Guler¹,

Fersch²,

Kuhn³

et al. 2015

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

Precise determination of the deuteron spin structure at low to moderate Q^{2} with CLAS and extraction of the neutron contribution We present the final results for the deuteron spin structure functions obtained from the full data set collected with Jefferson Lab's CLAS in 2000-2001. Polarized electrons with energies of 1.6, 2.5, 4.2 and 5.8 GeV were scattered from deuteron ( 15 ND3) targets, dynamically polarized along the beam direction, and detected with CLAS. From the measured double spin asymmetry, the virtual photon absorption asymmetry A d 1 and the polarized structure function g d 1 were extracted over a wide kinematic range (0.05 GeV 2 < Q 2 < 5 GeV 2 and 0.9 GeV < W < 3 GeV). We use an unfolding procedure and a parametrization of the corresponding proton results to extract from these data the polarized structure functions A n 1 and g n 1 of the (bound) neutron, which are so far unknown in the resonance region, W < 2 GeV. We compare our final results, including several moments of the deuteron and neutron spin structure functions, with various theoretical models and expectations as well as parametrizations of the world data. The unprecedented precision and dense kinematic coverage of these data can aid in future extractions of polarized parton distributions, tests of perturbative QCD predictions for the quark polarization at large x, a better understanding of quark-hadron duality, and more precise values for higher-twist matrix elements in the framework of the Operator Product Expansion.

show abstract

Section: Discussionmentioning

confidence: 99%

Precise determination of the deuteron spin structure at low to moderateQ2with CLAS and extraction of the neutron contribution

Guler¹,

Fersch²,

Kuhn³

et al. 2015

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

show abstract

“…7. /M 2 = −0.047, Λ qcd = 311 MeV, together with Jlab data [6]: black point, the single red point higher is the COMPASS result 0.181 ± 0.008 stat. ± 0.014 syst.…”

Section: Practical Analysis Of Datamentioning

confidence: 99%

“…They were realized as the "cut (truncated) Mellin moments" (CMM) f (z; n, µ 2 ) = 1 z f (x, µ 2 )x n−1 dx, generalized moments of the parton distribution f (x, µ 2 ) in the unavoidable lower limit of integration z ≡ x min = Q 2 min /(2(P q) max ) > 0, and in this way the kinematic constraint can be taken into account. This circumstance can be the main reason for large uncertainties at data processing: this effect is aggravated if a singularity of f (x, µ 2 ) in the neighborhood of x = 0 is expected [6]. The idea of "truncated" Mellin moments of the parton densities in QCD analysis was introduced and developed in the late 1990s [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

“…However, these standard moments, in principle, cannot be extracted from any experiment due to kinematic constraints inevitably appearing in real DIS of lepton-hadron and hadron-hadron collisions. Namely, arbitrarily small values of the variable x cannot be reached in experiments, which shows itself especially in "fixed target" experiments like in JLab [5,6]. It would be useful to invent new "real observables" with a goal to overcome the kinematic constraints.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Cut moments approach in the analysis of DIS data

Kotlorz

Михайлов²,

Teryaev³

et al. 2017

Phys. Rev. D

View full text Add to dashboard Cite

We review the main results on the generalization of the DGLAP evolution equations within the cut Mellin moments (CMM) approach, which allows one to overcome the problem of kinematic constraints in Bjorken x. CMM obtained by multiple integrations as well as multiple differentiations of the original parton distribution also satisfy the DGLAP equations with the simply transformed evolution kernel. The CMM approach provides novel tools to test QCD; here we present one of them. Using appropriate classes of CMM, we construct the generalized Bjorken sum rule that allows us to determine the Bjorken sum rule value from the experimental data in a restricted kinematic range of x. We apply our analysis to COMPASS data on the spin structure function g1.

show abstract

“…Analogous comparison can be performed for the obtained Bjorken sum rule representation with the Bjorken sum rule most recent data, determined in [45] for the Q 2 ≤ 4.8 GeV 2 region.…”

mentioning

confidence: 99%

Adler function and Bjorken polarized sum rule: Perturbation expansions in powers of theSU(Nc)conformal anomaly and studies of the conformal symmetry limit

Cvetič

Kataev

2016

Phys. Rev. D

View full text Add to dashboard Cite

High precision determination of theQ2evolution of the Bjorken sum

Abstract: We present a significantly improved determination of the Bjorken Sum for 0.6≤ Q 2 ≤4.8 GeV

Cited by 54 publications

References 83 publications

Precise determination of the deuteron spin structure at low to moderateQ2with CLAS and extraction of the neutron contribution

Precise determination of the deuteron spin structure at low to moderateQ2with CLAS and extraction of the neutron contribution

Cut moments approach in the analysis of DIS data

Adler function and Bjorken polarized sum rule: Perturbation expansions in powers of theSU(Nc)conformal anomaly and studies of the conformal symmetry limit

Contact Info

Product

Resources

About