scholarly journals Analytical solution of the longitudinal structure function in the leading and next-to-leading-order analysis at low x with respect to Laguerre polynomials method

2011 ◽  
Vol 857 (1) ◽  
pp. 42-47 ◽  
Author(s):  
B. Rezaei ◽  
G.R. Boroun
Keyword(s):  
Analytical Solution ◽  
Structure Function ◽  
Laguerre Polynomials ◽  
Leading Order ◽  
Longitudinal Structure ◽  
Order Analysis ◽  
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 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 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.

Sign in / Sign up

Export Citation Format

Share Document