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 A phenomenological solution small x to the longitudinal structure function dynamical behavior

2014 ◽  
Vol 29 (32) ◽  
pp. 1450189 ◽  
Author(s):  
G. R. Boroun ◽  
B. Rezaei ◽  
J. K. Sarma
Keyword(s):  
Structure Function ◽  
Dynamical Behavior ◽  
Structure Functions ◽  
Proton Structure Function ◽  
Leading Order ◽  
Longitudinal Structure ◽  
Proton Structure ◽  
Longitudinal Structure Function ◽  
Color Dipole ◽  
Small X

In this paper, the evolutions of longitudinal proton structure function have been obtained at small x up to next-to-next-to-leading order using a hard Pomeron behavior. In our paper, evolutions of gluonic as well as heavy longitudinal structure functions have been obtained separately and the total contributions have been calculated. The total longitudinal structure functions have been compared with results of Donnachie–Landshoff (DL) model, Color Dipole (CD) model, kT factorization and H1 data.

scholarly journals Froissart bound and self-similarity based models of proton structure functions

2018 ◽  
Vol 33 (08) ◽  
pp. 1850046 ◽  
Author(s):  
D. K. Choudhury ◽  
Baishali Saikia
Keyword(s):  
Structure Function ◽  
Cross Section ◽  
Structure Functions ◽  
Proton Structure Function ◽  
Self Similarity ◽  
Proton Proton ◽  
Proton Structure

Froissart bound implies that the total proton–proton cross-section (or equivalently proton structure function) cannot rise faster than [Formula: see text]. Compatibility of such behavior with the notion of self-similarity in proton structure function was suggested by us sometime back. In the present work, we generalize and improve it further by considering more recent self-similarity based models of proton structure functions and compare with recent data as well as with the model of Block, Durand, Ha and McKay.

scholarly journals Measurement of the proton structure function F2 and at low and very low x at HERA

1997 ◽  
Vol 407 (3-4) ◽  
pp. 432-448 ◽  
Author(s):  
J. Breitweg ◽  
M. Derrick ◽  
D. Krakauer ◽  
S. Magill ◽  
D. Mikunas ◽  
...  
Keyword(s):  
Structure Function ◽  
Proton Structure Function ◽  
Proton Structure ◽  
Low X
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