Analysis of the Longitudinal Structure Function
 F
 L
 from the Non-linear Regge Gluon Density Behavior at Low-
 x

Boroun, G. R.; Rezaei, B.

doi:10.1088/0256-307x/32/11/111101

Cited by 6 publications

(3 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Eqs. (15) and (16) I used the fact that the Laplace transform of a convolution function is simply ordinary product of the Laplace transform of that function. Taking into account the gluon distribution, one could extend the Laplace transformation to the high-order corrections in the following form…”

Section: General Methodsmentioning

confidence: 99%

“…This widely known as the GLR-MQ equation and involves the two-gluon distribution per unit area of the hadron. This equation predicts a saturation behavior of the gluon distribution at very small x [15][16]. A closer examination of the small x scattering is resummation powers of α s ln(1/x) where leads to the k T -factorization form [17].…”

Section: Nonlinear Behaviormentioning

confidence: 99%

See 1 more Smart Citation

Longitudinal structure function from logarithmic slopes of F2 at low x

Boroun

2018

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

Using Laplace transform techniques, I calculate the longitudinal structure function FL(x, Q 2 ) from the scaling violations of the proton structure function F2(x, Q 2 ), and make a critical study of this relationship between the structure functions at leading order (LO) up to next-to-next-to leading order (NNLO) analysis at small x. Furthermore, I consider heavy quark contributions to the relation between the structure functions, which leads to compact formula for N f = 3 + Heavy. The nonlinear corrections to the longitudinal structure function at LO up to NNLO analysis are shown in the N f = 4 (light quark flavor) based on the nonlinear corrections at R = 2 and R = 4 GeV −1 . The results are compared to experimental data of the longitudinal proton structure function FL in the range of 6.5 ≤ Q 2 ≤ 800 GeV 2 .

show abstract

Section: General Methodsmentioning

confidence: 99%

Section: Nonlinear Behaviormentioning

confidence: 99%

Longitudinal structure function from logarithmic slopes of F2 at low x

Boroun

2018

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

show abstract

“…This widely known as the GLR-MQ equation and involves the two-gluon distribution per unit area of the hadron. This equation predicts a saturation behavior of the gluon distribution at very small x [31]. A closer examination of the small x scattering is resummation powers of α s ln(1/x) where leads to the k T -factorization form [32].…”

Section: Nonlinear and Higher Twist Correctionsmentioning

confidence: 99%

The study of the gluon distribution function and reduced cross section behavior using the proton structure function

Rezaei,

Boroun

2019

Preprint

Self Cite

View full text Add to dashboard Cite

We present a set of formulas to extract the gluon distribution function and the reduced cross section from the proton structure function and its derivatives with respect to lnQ 2 in the next-tonext-to-leading order of the perturbative theory at low x based on a hard poemron exchange. The behavior of the DIS reduced cross section studied and compared with the experimental data, also these behaviors controlled by the nonlinear and higer twist corrections at low Q 2 . These results were augmented by including an additional higher-twist term in the description of the nonlinear correction. This additional term, modified nonlinear correction, improves the description of the reduced cross sections significantly at low values of Q 2 . Our calculations show a good agreement with the DIS experimental data throughout the low values of x. We discuss, furthermore, how this behavior can be determine the reduced cross section with respect to the proton parameterization at high-y values. These results within the next-to-next-to-leading order approximation at very low x can be applied in the LHeC and FCC-eh regions for analyses of ultra-high energy processes. The resulting predictions for σr suggest that further corrections are required for Q 2 less than about 3 GeV 2 .

show abstract

Phenomenological Behavior of the Hard Pomeron Intercept

Rezaei

Boroun

2018

Int J Theor Phys

View full text Add to dashboard Cite

Analysis of the Longitudinal Structure Function F _L from the Non-linear Regge Gluon Density Behavior at Low- x

Cited by 6 publications

References 47 publications

Longitudinal structure function from logarithmic slopes of F2 at low x

Longitudinal structure function from logarithmic slopes of F2 at low x

The study of the gluon distribution function and reduced cross section behavior using the proton structure function

Phenomenological Behavior of the Hard Pomeron Intercept

Contact Info

Product

Resources

About

Analysis of the Longitudinal Structure Function F L from the Non-linear Regge Gluon Density Behavior at Low- x

Cited by 6 publications

References 47 publications

Longitudinal structure function from logarithmic slopes of F2 at low x

Longitudinal structure function from logarithmic slopes of F2 at low x

The study of the gluon distribution function and reduced cross section behavior using the proton structure function

Phenomenological Behavior of the Hard Pomeron Intercept

Contact Info

Product

Resources

About

Analysis of the Longitudinal Structure Function F _L from the Non-linear Regge Gluon Density Behavior at Low- x