Analytic Derivation of the Longitudinal Proton Structure Function FL(x, Q2) and the Reduced Cross Section σr(x, Q2) at the Leading Order and the Next-to-leading Order Approximations

2021 ◽  
Author(s):  
S. Zarrin ◽  
S. Dadfar
Keyword(s):  
Structure Function ◽  
Cross Section ◽  
Proton Structure Function ◽  
Leading Order ◽  
Reduced Cross Section ◽  
Proton Structure ◽  
Analytic Derivation

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 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.

NNLO LONGITUDINAL PROTON STRUCTURE FUNCTION, BASED ON THE MODIFIED χQM

2012 ◽  
Vol 27 (31) ◽  
pp. 1250179 ◽  
Author(s):  
H. NEMATOLLAHI ◽  
M. M. YAZDANPANAH ◽  
A. MIRJALILI
Keyword(s):  
Structure Function ◽  
Gluon Distribution ◽  
Distribution Functions ◽  
Proton Structure Function ◽  
Chiral Quark Model ◽  
Leading Order ◽  
Longitudinal Structure ◽  
Proton Structure ◽  
Longitudinal Structure Function ◽  
Good Agreement

We compute the longitudinal structure function of the proton (FL) at the next-to-next-to-leading order (NNLO) approximation. For this purpose, we should know the flavor-singlet, non-singlet and gluon distribution functions of the proton. We use the chiral quark model (χQM) to determine these distributions. Finally, we compare the results of FL with the recent ZEUZ and H1 experimental data and some fitting parametrizations. Our results are in good agreement with the data and the related fittings.

scholarly journals Decoupling the NLO-coupled QED⊗QCD, DGLAP evolution equations, using Laplace transform method

2017 ◽  
Vol 32 (14) ◽  
pp. 1750065 ◽  
Author(s):  
Marzieh Mottaghizadeh ◽  
Parvin Eslami ◽  
Fatemeh Taghavi-Shahri
Keyword(s):  
Laplace Transform ◽  
Structure Function ◽  
Evolution Equations ◽  
Distribution Functions ◽  
Proton Structure Function ◽  
Dglap Evolution ◽  
Leading Order ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Proton Structure

We analytically solved the QED[Formula: see text]QCD-coupled DGLAP evolution equations at leading order (LO) quantum electrodynamics (QED) and next-to-leading order (NLO) quantum chromodynamics (QCD) approximations, using the Laplace transform method and then computed the proton structure function in terms of the unpolarized parton distribution functions. Our analytical solutions for parton densities are in good agreement with those from CT14QED [Formula: see text] (Ref. 6) global parametrizations and APFEL (A PDF Evolution Library) [Formula: see text] (Ref. 4). We also compared the proton structure function, [Formula: see text], with the experimental data released by the ZEUS and H1 collaborations at HERA. There is a nice agreement between them in the range of low and high [Formula: see text] and [Formula: see text].

scholarly journals Measurement of the proton structure function F2 at very low Q2 at HERA

2000 ◽  
Vol 487 (1-2) ◽  
pp. 53-73 ◽  
Author(s):  
J. Breitweg ◽  
S. Chekanov ◽  
M. Derrick ◽  
D. Krakauer ◽  
S. Magill ◽  
...  
Keyword(s):  
Structure Function ◽  
Proton Structure Function ◽  
Proton Structure
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