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.

scholarly journals QCD running coupling effects for the non-singlet structure function at small x

2000 ◽  
Vol 571 (1-2) ◽  
pp. 137-150 ◽  
Author(s):  
B.I. Ermolaev ◽  
M. Greco ◽  
S.I. Troyan
Keyword(s):  
Structure Function ◽  
Coupling Effects ◽  
Running Coupling ◽  
Small X

scholarly journals Running coupling effects for the singlet structure function g1 at small x

2004 ◽  
Vol 579 (3-4) ◽  
pp. 321-330 ◽  
Author(s):  
B.I Ermolaev ◽  
M Greco ◽  
S.I Troyan
Keyword(s):  
Structure Function ◽  
Coupling Effects ◽  
Running Coupling ◽  
Small X

scholarly journals The Longitudinal Structure Function FL as a Function of F2 and dF2/dln Q2 at Small x. The Next-to-Leading Analysis

1997 ◽  
Vol 12 (13) ◽  
pp. 963-973 ◽  
Author(s):  
A. V. Kotikov ◽  
G. Parente
Keyword(s):  
Structure Function ◽  
Hera Data ◽  
Longitudinal Structure ◽  
Transverse Structure ◽  
Longitudinal Structure Function ◽  
Small X ◽  
Low X

We present a set of formulas to extract the longitudinal deep inelastic structure function FL from the transverse structure function F2 and its derivative dF2/d ln Q2 at small x. Our expressions are valid for any non-negative value of δ, with x-δ the behavior of the parton densities at low x. Using F2 HERA data we obtain FL in the range 10-4≤ x≤10-2 at Q2=20 GeV 2. Some other applications of the formulas are pointed out.

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