An evaluation of the proton structure functions F2 and F at small x

Boroun, G. R.; Rezaei, B.

doi:10.1016/j.physletb.2021.136274

Cited by 14 publications

(5 citation statements)

References 67 publications

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“…The collaborations at HERA contributed high-precision data for measuring the proton structure function F p 2 at different kinematical regions of x and Q 2 [27,28]. Some recent works on the measurement of proton structure functions using various evolution equations and approaches are described in [29][30][31][32][33], and the results correlate well with the experimental data. In [34], for the first time, the reproduction of measurements of the DIS proton structure function at high energy from the color dipole description in momentum space was investigated.…”

Section: Introductionmentioning

confidence: 84%

Investigation of proton structure function F2p at HERA in light of an analytical solution to the Balitsky–Kovchegov equation

Saikia,

Phukan,

Kumar Sarma

2024

Commun. Theor. Phys.

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In this paper, the proton structure function F2 p(x, Q2) at small-x is investigated using an analytical solution of the Balitsky-Kovchegov (BK) equation. In the context of the color dipole description of deep inelastic scattering (DIS), the structure function F2 p(x, Q2) is computed by applying the analytical expression for the scattering amplitude N(k,Y) derived from the BK solution. At transverse momentum k and total rapidity Y, the scattering amplitude N(k,Y) represents the propagation of the quark-antiquark dipole in the color dipole description of DIS. Using the BK solution we extracted the integrated gluon density xg(x, Q2) and then compared our theoretical estimation with the LHAPDF global data fits NNPDF3.1sx and CT18. Finally, we investigated the behavior of F2 p(x, Q2) in the kinematic region 10-5 ≦ x ≦ 10-2 and 2.5 GeV2 ≦ Q2 ≦ 60 GeV2 . Our predicted results for F2 p(x, Q2) within the specified kinematic region are in good agreement with the recent high-precision data for F2 p(x, Q2) from HERA (H1 Collaboration) and the LHAPDF global parametrization group NNPDF3.1sx.

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Section: Introductionmentioning

confidence: 84%

Investigation of proton structure function F2p at HERA in light of an analytical solution to the Balitsky–Kovchegov equation

Saikia,

Phukan,

Kumar Sarma

2024

Commun. Theor. Phys.

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“…where r , s is defined due to the splitting and Wilson coefficient functions. The convolution form A(x)⊙B(x) reads to be [36] A(x)⊙B(x)≡ dz z A(a s , z)B(z).…”

Section: Heavy Quarks Structure Functionsmentioning

confidence: 99%

Geometrical scaling of heavy-quark contributions in the low $x$ region

Boroun¹

2022

Preprint

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We describe the determination of the heavy quarks structure functions F QQ 2,L with help of the scaling properties. We observe that the structure functions for inclusive charm and bottom production exhibits geometric scaling at low x. The geometrical scaling means that the heavy quark structure function is a function of only one dimensionless variable τ ≡Q 2 /Q 2 sat (x) including quark mass. These results are valid for any value of δ, being x −δ the behavior of the parton densities at low x. The determination of the heavy quark structure function is presented as a parameterization of the proton structure function F2(x, Q 2 ) and its derivative. Analytical expressions for F QQ 2,L in terms of the effective parameters of the parameterization of F2(x, Q 2 ) ,with respect to the BDH and ASW models, are presented. To study the heavy quark production processes, we use the collinear results in DAS approach. Numerical calculations and comparison with HERA data demonstrate that the suggested method provides reliable F QQ 2 , R cc and σ QQ at low x in a wide range of the low absolute four-momentum transfers squared (4 GeV 2 < Q 2 < 2000 GeV 2 ). Also, in the HERA kinematic range, the ratio ofExpanding the method to low and ultra low values of x can be considered in the process analysis of the LHeC and FCC-eh colliders.

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“…2 does not exhibit purely Q 2 -independent behavior, with the structure function's Q 2 -dependence increasing at small-x. Thus, to align the results with theoretical expectations [31,[61][62][63], experimental data [26,27,[64][65][66] and global parametrizations [25,67,68], it is crucial to address the condition of both x and Q 2 dependencies of the function K in the study. Nevertheless, obtaining analytical solutions based on these assumptions necessitates additional ultra small-x approximations, even considering the adjustments introduced by the method reported in reference [31].…”

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confidence: 94%

Shadowing corrections to the evolution of singlet structure function

Devee

2023

Phys. Scr.

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In this paper, a semi-analytical approach is introduced to address the solution of the nonlinear Gribov-Levin-Ryskin-Mueller-Qiu (GLR-MQ) evolution equation for sea quark distribution. Here the effect of gluon shadowing on the behaviour of singlet structure function, F 2 S ( x , Q 2 ) , has been investigated, particularly in the regime of small-x and moderate-Q 2. The predicted values of singlet structure functions with shadowing corrections align well with different experimental data and existing parametrizations. It is very fascinating to observe signatures of gluon recombination within these predictions. Notably, as x decreases, the rapid growth of singlet structure function is eventually tamed by the shadowing or nonlinear term appeared in the QCD evolution due to gluon recombination. This taming behaviour of shadowing singlet structure function towards small-x become significant at the hot spots, at R = 2 GeV−1. Further the computed ratios of F 2 S ( x , Q 2 ) with shadowing, in comparison to those without shadowing, clearly indicate that towards smaller values of x and Q 2 the nonlinear effects gradually become prominent.

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An evaluation of the proton structure functions F2 and F at small x

Cited by 14 publications

References 67 publications

Investigation of proton structure function F2p at HERA in light of an analytical solution to the Balitsky–Kovchegov equation

Investigation of proton structure function F2p at HERA in light of an analytical solution to the Balitsky–Kovchegov equation

Geometrical scaling of heavy-quark contributions in the low $x$ region

Shadowing corrections to the evolution of singlet structure function

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