The behavior of the structure function by using the effective exponent at low x

Rezaei, B.; Boroun, G. R.

doi:10.1140/epja/i2019-12734-2

Cited by 14 publications

(6 citation statements)

References 50 publications

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“…In the GBW model [44,45], the parameter was defined as 0.29, serving as an effective intercept in the BFKL kernel. Furthermore, in another reference [48], the mean values of the singlet exponent λ ave has been reported to be λ ave = 0.295 for the kinematic range x 10 −2 and 5 Q 2 250 GeV 2 , based on the analysis of H1 2013 data [49]. Their findings are in good agreement with other experimental data [50].…”

Section: Shadowing Corrections To the Singlet Structure Function At S...supporting

confidence: 69%

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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Section: Shadowing Corrections To the Singlet Structure Function At S...supporting

confidence: 69%

Shadowing corrections to the evolution of singlet structure function

Devee

2023

Phys. Scr.

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“…The gluon exponent at low values of is described by the hard pomeron, as the fixed coupling LLx BFKL solution gives the value , although dependence on is expressed in the effective exponent defined in Refs. [55][56][57][58]. In the literature, fits to experimental data suggest that hard pomerons dominate the behavior of the heavy quark structure function.…”

Section: G→qq Xmentioning

confidence: 98%

Importance of heavy quark longitudinal structure function measurements at future circular collider energies

Boroun

2021

Chinese Phys. C

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In this article, we consider the ratio of structure functions for heavy quark pair production at low values of . The importance of this ratio for charm and beauty pair production is examined according to the Hadron Electron Ring Accelerator (HERA) data. The behavior of these ratios is considered due to the hard pomeron behavior of the gluon distribution function. The results are in good agreement with the HERA data. Expanding this data to the range of new energies underscores the importance of these measurements for heavy quarks. The ratio of charm and beauty structure functions at the proposed Large Hadron electron Collider (LHeC) is considered as a function of invariant center-of-mass energy. For top pair production this ratio is extracted with known kinematics of the LHeC and Future Circular Collider electron-hadron (FCC-eh) colliders. Comparison of the results obtained for the ratio of top structure functions in LHeC and FCC-eh are proportional to the specified inelasticity range.

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“…This behavior is also valid for the virtual photon in the region of x << 1, leading to the well-known behavior of F 2 ∼ x −∆ . The rise behaviour of the proton structure function at low x may also be related to the so-called saturation effect that refers to the gluon recombination in the nucleon [39]. In the next, we describe the phenomenological parameterization for the initial PDFs, based of the self-similar or fractal model, we need to solve the DGLAP evolution equations.…”

Section: Why Pdfs At Low X?mentioning

confidence: 99%

Proton structure functions at low $x$: the Fractal distributions

Mohsenabadi¹,

Tehrani²,

Taghavi-Shahri³

2021

Preprint

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In this paper, we present the extraction of the Parton Distribution Functions (PDFs) at small momentum fractions x and at the next-to-leading order (NLO) accuracy in perturbative QCD. We show that the "sea quark distribution functions" have "Fractal" or self-similar behaviour with fixed exponent at x < 0.01. To this end, a simple parametrization for the Parton Distribution Functions and especially for the sea quarks PDFs based on the "Fractal" approach is considered. The small x experimental datasets on electron-proton (e − p) and positron-proton (e + p) in DIS processes at HERA for the range of 1.5 < Q 2 < 650 (GeV 2 ) and x < 0.01 are included in this analysis. The estimations of the uncertainty in the present analysis are carried out using the standard "Hessian" method. In total, considering the overall value of χ 2 /dof and theory/data comparisons, the results indicate nice agreements between the experimental datasets and the theory predictions at small momentum fractionsx. Finally, we present detailed comparisons between predictions for the relevant small-x observables obtained with various recent models of proton PDFs available in literature. Contents

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The behavior of the structure function by using the effective exponent at low x

Cited by 14 publications

References 50 publications

Shadowing corrections to the evolution of singlet structure function

Shadowing corrections to the evolution of singlet structure function

Importance of heavy quark longitudinal structure function measurements at future circular collider energies

Proton structure functions at low $x$: the Fractal distributions

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