Absorptive effects and power corrections in low x DGLAP evolution

Pelicer, M. R.; Oliveira, E. G. de; Martin, A. D.; Ryskin, M. G.

doi:10.1140/epjc/s10052-018-6515-4

Cited by 13 publications

(17 citation statements)

References 44 publications

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“…2, we show the nonlinear results at an input Q 2 = 1.9 GeV 2 in comparison with the absorptive corrections at low x and the power corrections at low Q 2 values in Ref. [25]. As can be observed in Fig.…”

Section: Resultssupporting

confidence: 59%

“…The results are compared with μ 2 0 = 0, corresponding to no effects of confinement, and with those obtained for μ 2 0 = 1 GeV 2 in Ref. [25]. In Fig.…”

Section: Resultsmentioning

confidence: 82%

“…1 The linear and nonlinear gluon distribution function at R = 2 GeV −1 for Q 2 = 10, 30, 50 and 100 GeV 2 with respect to the parametrization model [11] and GLR-MQ equation [50,51], respectively Fig. 2 The nonlinear gluon distribution function at R = 2 GeV −1 and n f = 4 at Q 2 = 1.9 GeV 2 compared with the power corrections arises from the freezing of the running coupling with μ 2 0 = 0 and 1 GeV 2 [25] The analysis is performed in the ranges of 10 −5 ≤x≤10 −2 and 1≤Q 2 ≤1000 GeV 2 . The computed results of the nonlinear distribution functions are compared with the parametrization methods [11,61,62] and the experimental data [65][66][67].…”

Section: Resultsmentioning

confidence: 99%

“…In Ref. [25], the important role of absorptive effects and power corrections in low-x DGLAP evolution are considered. These effects flat the behavior of the low-x gluon density which arises from the freezing of α s at low Q 2 values.…”

Section: Theoretical Formalismmentioning

confidence: 99%

“…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%

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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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Section: Resultssupporting

confidence: 59%

“…The results are compared with μ 2 0 = 0, corresponding to no effects of confinement, and with those obtained for μ 2 0 = 1 GeV 2 in Ref. [25]. In Fig.…”

Section: Resultsmentioning

confidence: 82%

Section: Resultsmentioning

confidence: 99%

Section: Theoretical Formalismmentioning

confidence: 99%

“…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%

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