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.

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.

Small-x behaviour of the polarized photon structure function $F_3^\gamma(x,Q^2)$

1999 ◽  
Vol 7 (1) ◽  
pp. 65-72 ◽  
Author(s):  
B. Ermolaev ◽  
R. Kirschner ◽  
L. Szymanowski
Keyword(s):  
Structure Function ◽  
Photon Structure ◽  
Small X

scholarly journals Photon Structure Function at Small x

1999 ◽  
Vol 102 (4) ◽  
pp. 819-832
Author(s):  
M. Imoto ◽  
H. Kan ◽  
T. Kikuchi
Keyword(s):  
Structure Function ◽  
Photon Structure ◽  
Small X

scholarly journals Small-x behavior of the structure function F2 and its slope ∂lnF2/∂ln(1/x) for “frozen” and analytic strong-coupling constants

2009 ◽  
Vol 679 (4) ◽  
pp. 350-354 ◽  
Author(s):  
Gorazd Cvetič ◽  
Alexey Yu. Illarionov ◽  
Bernd A. Kniehl ◽  
Anatoly V. Kotikov
Keyword(s):  
Structure Function ◽  
Strong Coupling ◽  
Coupling Constants ◽  
Small X

NONLINEAR EVOLUTION AT SMALL x WITH IMPACT PARAMETER DEPENDENCE

2011 ◽  
Vol 04 ◽  
pp. 67-73
Author(s):  
JEFFREY J. BERGER
Keyword(s):  
Evolution Equation ◽  
Structure Function ◽  
Numerical Solution ◽  
Impact Parameter ◽  
Qualitative Agreement ◽  
Nonlinear Evolution ◽  
Hera Data ◽  
Saturation Scale ◽  
Running Coupling ◽  
Small X

Nonlinear evolution at small x was evaluated numerically with full dependence on impact parameter using the BK equation. several distinct behaviors were found and are presented for the leading logarithmic kernel in the BK evolution equation with both fixed and running coupling. The value of the saturation scale at various dipole sizes was found to agree with analytic expectations. Calculation of the F2structure function from the numerical solution of the evolution with running coupling were then compared to the HERA data and qualitative agreement found. The agreement is improved with inclusion of soft contributions and these are discussed.

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