The longitudinal structure function F L(x, Q 2) and the gluon distribution G(x, Q 2) at low x

Pramana ◽  
1999 ◽  
Vol 53 (4) ◽  
pp. 701-706 ◽  
Author(s):  
Abhijeet Das ◽  
A Saikia
Keyword(s):  
Structure Function ◽  
Gluon Distribution ◽  
Longitudinal Structure ◽  
Longitudinal Structure Function ◽  
Low X

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 Nuclear longitudinal structure function in eA processes at the LHeC

2017 ◽  
Vol 32 (33) ◽  
pp. 1750197 ◽  
Author(s):  
G. R. Boroun ◽  
B. Rezaei ◽  
S. Heidari
Keyword(s):  
Structure Function ◽  
Heavy Quark ◽  
Distribution Ratio ◽  
Gluon Distribution ◽  
Quark Mass ◽  
Mass Effect ◽  
Longitudinal Structure ◽  
Heavy Quark Mass ◽  
Longitudinal Structure Function ◽  
Geometrical Scaling

The nucleon and nuclear longitudinal structure functions are determined by the Kharzeev–Levin–Nardin (KLN) model of the low-[Formula: see text] gluon distribution. The behavior of the gluon distribution ratio [Formula: see text] and the ratio [Formula: see text] in [Formula: see text] processes are shown in this paper. The heavy longitudinal structure function ratios in [Formula: see text] processes at the LHeC region are discussed. Heavy contributions to the ratio of the total longitudinal structure function are considerable and should not be neglected especially at smaller [Formula: see text] of the LHeC project. In the KLN model, the new geometrical scaling for transition from the linear to nonlinear regions in accordance with the LHeC processes is used, whose results intensively depended on the heavy quark mass effect.

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.

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.

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