Longitudinal structure function at smallx: The effect of next-to-leading-order QCD corrections and heavy-flavor thresholds

1991 ◽  
Vol 66 (13) ◽  
pp. 1673-1676 ◽  
Author(s):  
Lynne H. Orr ◽  
W. J. Stirling
Keyword(s):  
Structure Function ◽  
Heavy Flavor ◽  
Leading Order ◽  
Longitudinal Structure ◽  
Longitudinal Structure Function

scholarly journals HARD-POMERON BEHAVIOR OF THE LONGITUDINAL STRUCTURE FUNCTION FL IN THE NEXT-TO-LEADING ORDER AT LOW x

2009 ◽  
Vol 18 (01) ◽  
pp. 131-140 ◽  
Author(s):  
G. R. BOROUN
Keyword(s):  
Perturbation Theory ◽  
Structure Function ◽  
Perturbative Qcd ◽  
Gluon Distribution ◽  
Analytic Formula ◽  
Leading Order ◽  
Longitudinal Structure ◽  
Longitudinal Structure Function ◽  
Low X

We present an analytic formula to extract the longitudinal structure function in the next-to-leading order of the perturbation theory at low x, from the Regge-like behavior of the gluon distribution and the structure function at this limit. In this approach, the longitudinal structure function has the hard-Pomeron behavior. The determined values are compared with the H1 data and MRST model. All results can consistently be described within the framework of perturbative QCD, which essentially show increases as x decreases.

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.

NON-SINGLET PART OF THE LONGITUDINAL STRUCTURE FUNCTION FL UP TO $O(\alpha_s^3)$

2011 ◽  
Vol 26 (03n04) ◽  
pp. 686-687 ◽  
Author(s):  
M. SOLEYMANINIA ◽  
ALI N. KHORRAMIAN
Keyword(s):  
Structure Function ◽  
Structure Functions ◽  
Distribution Functions ◽  
Nucleon Structure ◽  
Heavy Flavor ◽  
Longitudinal Structure ◽  
Nucleon Scattering ◽  
Longitudinal Structure Function ◽  
Nucleon Structure Function ◽  
Qcd Analysis

The unpolarized longitudinal nucleon structure function FL, measured in the deep inelastic lepton-nucleon scattering, is contained of three parts, singlet, non-singlet and gluon. The aim of this paper is to perform a QCD analysis of the longitudinal heavy and light structure functions FL(x, Q2) in the non-singlet part up to [Formula: see text]. We use the light and heavy flavor Wilson coefficients and distribution functions in Mellin space. Also we need to use the Padé approximation for αs analysis.

A new calculation of the order-g4 QCD corrections to the longitudinal structure function

1984 ◽  
Vol 138 (5-6) ◽  
pp. 418-420 ◽  
Author(s):  
A. Devoto ◽  
D.W. Duke ◽  
J.D. Kimel ◽  
G.A. Sowell
Keyword(s):  
Structure Function ◽  
Longitudinal Structure ◽  
Longitudinal Structure Function
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