Ratio of the structure functions and the color dipole model bound

Boroun, G. R.; Rezaei, B.

doi:10.1016/j.nuclphysa.2019.07.011

Cited by 9 publications

(5 citation statements)

References 73 publications

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“…The ratio of the structure functions in CDP depends on the interpretation of ρ w as defined in Eqs. (13) and (15). The results, with respect to Eq.…”

Section: Resultsmentioning

confidence: 97%

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Color dipole picture and extracting the ratio of structure functions at small x

Rezaei

Boroun

2020

Phys. Rev. C

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We present a set of formulas to extract the ratio FL(x, Q 2 )/F2(x, Q 2 ) and R(x, Q 2 ) from the F2(x, Q 2 ) parameterization in the next-to-next-to-leading order of the perturbative theory at low x values. The behavior of these ratios studied in comparison with the fixed and effective exponents with respect to the power-law behavior of the proton structure function. The results are compared with the experimental data and the color dipole model bounds. These ratios are in good agreement with the DIS experimental data throughout the fixed value of the invariant mass. The behavior of these ratios controlled by the nonlinear corrections at low values of Q 2 . These results within the next-to-next-to-leading order approximation can be applied in the LHeC region for analyses of ultra-high energy processes in a wide range of Q 2 values.

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“…The ratio of the structure functions in CDP depends on the interpretation of ρ w as defined in Eqs. (13) and (15). The results, with respect to Eq.…”

Section: Resultsmentioning

confidence: 97%

“…Through the measurement of the Q 2 dependence of F 2 in DIS the gluon density can be determined. The relation between the gluon distribution and the proton structure function is prescribed [15][16] by the DGLAP evolution equation in the following form…”

Section: Methodsmentioning

confidence: 99%

Color dipole picture and extracting the ratio of structure functions at small x

Rezaei

Boroun

2020

Phys. Rev. C

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“…[20] presented the dipole cross section from an approximate form of the presumed dipole cross section convoluted with the perturbative photon wave function for virtual photon splitting into a color dipole with massless quarks. Some approximated analytical solutions in color dipole model, have been reported in last years [21,22] with considerable phenomenological success. The analytical methods of the unpolarized DGLAP evolution equations have been discussed considerably in Mellin and Laplace transformation [23,24].…”

Section: Introductionmentioning

confidence: 99%

Color dipole cross section in the DGLAP improved saturation model

Boroun

2022

Preprint

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We show that the geometric scaling of the dipole cross section can be explained using standard DGLAP perturbative evolution. The DGLAP improved saturation model due to the Laplace transforms method is considered at LO and NNLO approximations from the experimental data by relying on a Froissart-bounded parametrization of F2(x, Q 2 ). These results are comparable with Golec-Biernat-Wüsthoff (GBW) model in a wide kinematic region rQs which takes into account charm mass. The successful description of σ dip (x, r)/σ0 and σ dip (rQs)/σ0 are presented.

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“…[34] presented the dipole cross section from an approximate form of the presumed dipole cross section convoluted with the perturbative photon wave function for virtual photon splitting into a color dipole with massless quarks. Some approximated analytical solutions in the color dipole model have been reported in recent years [35][36][37][38][39][40][41][42] with considerable phenomenological success. The analytical methods of the unpolarized DGLAP evolution equations have been discussed extensively in Mellin and Laplace transformation [43,44].…”

Section: Introductionmentioning

confidence: 99%

Color dipole cross section in the DGLAP improved saturation model

Boroun

2022

Eur. Phys. J. C

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We show that the geometric scaling of the dipole cross section can be explained using standard DGLAP perturbative evolution. The DGLAP-improved saturation model due to the Laplace transform method is considered at LO and NNLO approximations from the experimental data by relying on a Froissart-bounded parametrization of $$F_{2}(x,Q^{2})$$ F 2 ( x , Q 2 ) . These results are comparable with the Golec-Biernat–W$$\ddot{\mathrm {u}}$$ u ¨ sthoff (GBW) model in a wide kinematic region $$rQ_{s}$$ r Q s which takes into account charm mass. The successful description of $${\sigma }_{\mathrm {dip}}(x,r)/\sigma _{0}$$ σ dip ( x , r ) / σ 0 and $${\sigma }_{\mathrm {dip}}(rQ_{s})/\sigma _{0}$$ σ dip ( r Q s ) / σ 0 are presented.

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Ratio of the structure functions and the color dipole model bound

Cited by 9 publications

References 73 publications

Color dipole picture and extracting the ratio of structure functions at small x

Color dipole picture and extracting the ratio of structure functions at small x

Color dipole cross section in the DGLAP improved saturation model

Color dipole cross section in the DGLAP improved saturation model

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