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

Boroun, G. R.; Rezaei, B.

doi:10.1016/j.nuclphysa.2020.122062

Cited by 5 publications

(2 citation statements)

References 64 publications

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“…Some studies of the non-linear behavior of PDFs are given in Refs. [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] in recent years. Low x physics at the LHeC and Future Circular Collider hadron-electron (FCC-he) is an area for discovery non-linear effects.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear corrections on the parameterization methods

Boroun,

Rezaei

2021

Preprint

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We present non-linear correction (NC) to the distribution functions at low values of x and Q 2 using the parameterization F2(x, Q 2 ) and FL(x, Q 2 ). We use a direct method to extract non-linear corrections to the ratio of structure functions and the reduced cross section in the next-to-next-to-leading order (NNLO) approximation with respect to the parametrization method (PM). Comparison between the non-linear results with the bounds in color dipole model (CDM) and HERA data indicate the consistency of the non-linear behavior of the gluon distribution function at low-x and low-Q 2 . The non-linear longitudinal structure functions are comparable with the H1 Collaboration data in a wide range of Q 2 values. Consequently, the non-linear corrections at NNLO approximation to the reduced cross sections at low and moderate Q 2 values show good agreement with the HERA combined data. These results at low x and low Q 2 can be applied to the LHeC region for analyses of ultra-high-energy processes.

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Section: Introductionmentioning

confidence: 99%

Nonlinear corrections on the parameterization methods

Boroun,

Rezaei

2021

Preprint

Self Cite

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“…Some studies of the nonlinear behavior of PDFs have been given in Refs. [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] in recent years.…”

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confidence: 99%

Nonlinear corrections on the parametrization methods

Boroun

Rezaei

2021

Eur. Phys. J. C

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We present nonlinear corrections (NLCs) to the distribution functions at low values of x and $$Q^{2}$$ Q 2 using the parametrization $$F_{2}(x,Q^{2})$$ F 2 ( x , Q 2 ) and $$F_{L}(x,Q^{2})$$ F L ( x , Q 2 ) . We use a direct method to extract nonlinear corrections to the ratio of structure functions and the reduced cross section in the next-to-next-to-leading order (NNLO) approximation with respect to the parametrization method (PM). Comparisons between the nonlinear results with the bounds in the color dipole model (CDM) and HERA data indicate the consistency of the nonlinear behavior of the gluon distribution function at low x and low $$Q^{2}$$ Q 2 . The nonlinear longitudinal structure functions are comparable with the H1 Collaboration data in a wide range of $$Q^{2}$$ Q 2 values. Consequently, the nonlinear corrections at NNLO approximation to the reduced cross sections at low and moderate $$Q^{2}$$ Q 2 values show good agreement with the HERA combined data. These results at low x and low $$Q^{2}$$ Q 2 can be applied to the LHeC region for analyses of ultra-high-energy processes.

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Color dipole model bounds with the gluon-gluon recombination correction

Boroun¹,

Rezaei²

2021

Phys. Rev. C

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

Cited by 5 publications

References 64 publications

Nonlinear corrections on the parameterization methods

Nonlinear corrections on the parameterization methods

Nonlinear corrections on the parametrization methods

Color dipole model bounds with the gluon-gluon recombination correction

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