An Analysis of the Proton Structure Function and the Gluon Distributions at 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.

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Scaling violations of the proton structure function F2 at small x

Physics Letters B ◽

10.1016/0370-2693(94)90344-1 ◽

1994 ◽

Vol 321 (1-2) ◽

pp. 161-167 ◽

Cited By ~ 25

Author(s):

I. Abt ◽

T. Ahmed ◽

V. Andreev ◽

B. Andrieu ◽

R.-D. Appuhn ◽

...

Keyword(s):

Structure Function ◽

Proton Structure Function ◽

Proton Structure ◽

Small X ◽

Scaling Violations

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Q2 dependence of the fractional momenta carried by small x quarks and gluons in models of proton structure function

Modern Physics Letters A ◽

10.1142/s0217732319502730 ◽

2019 ◽

Vol 34 (33) ◽

pp. 1950273

Author(s):

Luxmi Machahari ◽

D. K. Choudhury

Keyword(s):

Structure Function ◽

Gluon Distribution ◽

Taylor Expansion ◽

Total Momentum ◽

Analytical Models ◽

Proton Structure Function ◽

Self Similarity ◽

Theor Phys ◽

Proton Structure ◽

Small X

Recently, we suggested two alternative analytical models of proton structure function [Formula: see text] and gluon distribution [Formula: see text] at small [Formula: see text] [L. Machahari and D. K. Choudhury, Eur. Phys. J. A 54, 69 (2018); Commun. Theor. Phys. 71, 56 (2019)] derived from the coupled DGLAP equations for quarks and gluons approximated by Taylor expansion. In this work, we compute the partial momentum fractions carried by quarks and gluons in limited small [Formula: see text] range: [Formula: see text] and compare them with few other models available in the current literature. The analysis leads to understand qualitatively the effects of notions like Froissart saturation and self-similarity in the proton at small [Formula: see text]. We also study if our results conform to the total momentum fractions as predicted in perturbative and lattice QCD.

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ON THE SINGULAR BEHAVIOR OF STRUCTURE FUNCTIONS AT LOW x

Modern Physics Letters A ◽

10.1142/s0217732394003221 ◽

1994 ◽

Vol 09 (36) ◽

pp. 3393-3402 ◽

Cited By ~ 6

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.

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