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.

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

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 ON THE SINGULAR BEHAVIOR OF STRUCTURE FUNCTIONS AT LOW x

1994 ◽  
Vol 09 (36) ◽  
pp. 3393-3402 ◽  
Author(s):  
H. NAVELET ◽  
R. PESCHANSKI ◽  
S. WALLON
Keyword(s):  
Structure Function ◽  
Evolution Equations ◽  
Structure Functions ◽  
Saddle Point Method ◽  
Proton Structure Function ◽  
Singular Behavior ◽  
Proton Structure ◽  
Small X ◽  
Model Independent ◽  
Low X

We discuss the phenomenological extraction of the leading j-plane singularity from singlet structure functions Fs estimated at small x. Using a saddle point method we show that [Formula: see text] is a suitable observable for this purpose in the region x≤10−2. As an application, we confront and distinguish in a model-independent way structure function parametrizations coming from two different QCD evolution equations, namely the Lipatov (or BFKL) equation and the Gribov-Lipatov-Altarelli-Parisi (or GLAP) equation. Recent results on the proton structure function F2 at HERA are discussed in this framework.

scholarly journals Rise of the DIS structure function FL at small x caused by double-logarithmic corrections

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
B. I. Ermolaev ◽  
S. I. Troyan
Keyword(s):  
Structure Function ◽  
Present Calculation ◽  
Synergic Effect ◽  
Logarithmic Approximation ◽  
Logarithmic Corrections ◽  
Small X

Abstract We present calculation of FL in the double-logarithmic approximation (DLA) and demonstrate that the synergic effect of the factor 1/x from the $$ {\alpha}_s^2 $$ α s 2 -order and the steep x-dependence of the totally resummed double logarithmic contributions of higher orders ensures the power-like rise of FL at small x and arbitrary Q2.

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