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

2017 ◽  
Vol 56 (5) ◽  
pp. 1456-1473 ◽  
Author(s):  
N. M. Nath ◽  
J. K. Sarma
Keyword(s):  
Structure Function ◽  
Spin Structure ◽  
Spin Structure Function ◽  
Sum Rule ◽  
Bjorken Sum Rule ◽  
Small X

scholarly journals Estimating the small-x exponent of the structure function g1NS from the Bjorken sum rule

2002 ◽  
Vol 549 (1-2) ◽  
pp. 109-114 ◽  
Author(s):  
Anke Knauf ◽  
Michael Meyer-Hermann ◽  
Gerhard Soff
Keyword(s):  
Structure Function ◽  
Sum Rule ◽  
Bjorken Sum Rule ◽  
Small X

On the polarized DIS spin structure function g1 at small x

2014 ◽  
Vol 29 (21) ◽  
pp. 1444014
Author(s):  
B. I. Ermolaev ◽  
M. Greco ◽  
S. I. Troyan
Keyword(s):  
Experimental Data ◽  
Structure Function ◽  
Spin Structure ◽  
Kinematic Region ◽  
Spin Structure Function ◽  
Detailed Review ◽  
Compass Experiment ◽  
Anomalous Dimensions ◽  
Small X ◽  
Explicit Expressions

In the present paper we summarize our recent results on the structure function g1 and present explicit expressions for the nonsinglet and singlet components of g1, which can be also used at arbitrary x and Q2. These expressions combine the well-known DGLAP-results for the anomalous dimensions and coefficient functions with the total resummation of the leading logarithmic contributions and the shift of Q2 →Q2 + μ2. In contrast to DGLAP, these expressions do not require the introduction of singular parametrizations for the initial parton densities. We have also applied our results to describe the experimental data in the kinematic region of the COMPASS experiment, which is beyond the reach of DGLAP. For a more detailed review of our results see Ref. 1.

scholarly journals Diffraction driven steep rise of spin structure function gLT=g1+g2 at small x and DIS sum rules

1999 ◽  
Vol 457 (1-3) ◽  
pp. 218-226 ◽  
Author(s):  
I.P. Ivanov ◽  
N.N. Nikolaev ◽  
A.V. Pronyaev ◽  
W. Schäfer
Keyword(s):  
Structure Function ◽  
Spin Structure ◽  
Sum Rules ◽  
Spin Structure Function ◽  
Steep Rise ◽  
Small X

EVOLUTION OF UNDERSTANDING POLARIZED DIS: FROM LARGE TO SMALL x

2009 ◽  
Vol 24 (35n37) ◽  
pp. 2924-2930
Author(s):  
B. I. ERMOLAEV ◽  
M. GRECO ◽  
S. I. TROYAN
Keyword(s):  
Structure Function ◽  
Spin Structure ◽  
Evolution Equations ◽  
Structure Functions ◽  
Theoretical Description ◽  
Dglap Evolution ◽  
Spin Structure Function ◽  
Logarithmic Approximation ◽  
Small X

The standard theoretical description of Polarized DIS is based on the use of the DGLAP evolution equations. This approach controls the Q2 -evolution of the DIS structure functions but cannot describe the x -evolution and therefore should not be used at small x. We complement this approach, accounting for the x-evolution of the spin structure function g1 in the leading logarithmic approximation.

scholarly journals Compass Measurement of g1 and QCD Fits

2016 ◽  
Vol 40 ◽  
pp. 1660017
Author(s):  
Fabienne Kunne
Keyword(s):  
Spin Structure ◽  
Proton Spin ◽  
Spin Structure Function ◽  
Large Uncertainty ◽  
Sum Rule ◽  
Bjorken Sum Rule ◽  
Statistical Precision ◽  
Spin Singlet ◽  
Low X ◽  
Proton Spin Structure

We present the latest COMPASS results on the proton spin structure function g[Formula: see text](x) at 200[Formula: see text]GeV. The data improve the statistical precision by a factor of [Formula: see text]2 at low x. A reevaluation of the Bjorken sum rule based on COMPASS proton and deuteron data confirms its validation to a 9% accuracy. Finally, results from a global NLO QCD fit of g1 world data are shown. The extracted spin singlet distribution leads to an integrated value of [Formula: see text] at Q[Formula: see text] (GeV/c)2. The large uncertainty is mainly driven by the unknown shape of the distribution.

How unitarity imposes a steep small-x rise of spin structure function gLT=g1+g2 and breaking of DIS sum rules

1999 ◽  
Vol 320 (1-6) ◽  
pp. 175-186 ◽  
Author(s):  
I.P Ivanov ◽  
N.N Nikolaev ◽  
A.V Pronyaev ◽  
W Schäfer
Keyword(s):  
Structure Function ◽  
Spin Structure ◽  
Sum Rules ◽  
Spin Structure Function ◽  
Small X

scholarly journals Spin Structure Function g1at Small x and Arbitrary Q2

2007 ◽  
Author(s):  
Boris I. Ermolaev ◽  
Mario Greco ◽  
S.I. Troyan
Keyword(s):  
Structure Function ◽  
Spin Structure ◽  
Spin Structure Function ◽  
Small X

scholarly journals Polarized Deep Inelastic Scattering

1997 ◽  
Vol 50 (1) ◽  
pp. 71
Author(s):  
F. M. Steffens ◽  
A. W. Thomas
Keyword(s):  
Inelastic Scattering ◽  
Structure Function ◽  
Spin Structure ◽  
Good Description ◽  
Proton Spin ◽  
Spin Structure Function ◽  
Sum Rule ◽  
Axial Anomaly ◽  
Proton Spin Structure ◽  
Polarized Deep Inelastic Scattering

We give an overview of present calculations involving the proton spin structure function. It is shown that a significant part of the discepancy between the data and the Ellis–Jaffe sum-rule may arise through the axial anomaly if the gluons within the proton are strongly polarized. While a quark model, such as the MIT bag, does not include the anomaly, and therefore cannot be expected to reproduce the spin structure function, it does give a rather good description of recent data which is anomaly free, such as the distribution of polarized, valence up-quarks in the proton.

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