An improved analysis of proton structure function F2(x,t) at small x

Machahari, Luxmi; Choudhury, D. K.

doi:10.1140/epja/i2018-12499-0

Cited by 6 publications

(15 citation statements)

References 20 publications

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“…A purely Q 2 or x independence of the ratio was found in Refs. [69][70][71][72] to be not global in general as compared with our results with respect to the parametrization model.…”

Section: Resultssupporting

confidence: 59%

“…In Fig. 3, we make a critical study of the ratio G/F 2 proposed in recent years [68][69][70][71][72] at linear and nonlinear corrections, which is frequently used to extract the gluon distribution from the proton structure function. The ratio G/F 2 is obtained at Q 2 = 5, 100 and 1000 GeV 2 at low values of x with respect to the nonlinear behavior of the gluon distribution function due to the parametrization model.…”

Section: Resultsmentioning

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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“…A purely Q 2 or x independence of the ratio was found in Refs. [69][70][71][72] to be not global in general as compared with our results with respect to the parametrization model.…”

Section: Resultssupporting

confidence: 59%

Section: Resultsmentioning

confidence: 99%

Nonlinear corrections on the parametrization methods

Boroun

Rezaei

2021

Eur. Phys. J. C

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“…Which is not equal to unity in general as discussed in LO [1,2] and NLO because of the t dependence of X N N LO 1 (x, t) and X N N LO 2 (x, t) even if β is set to zero. It is to be noted that the term β occuring in eqns.…”

Section: Nnlomentioning

confidence: 98%

“…Substituting the splitting functions upto NLO and up to NNLO in the DGLAP equations, we obtain the Taylor approximated DGLAP equations [1,2] for the singlet and gluon distribution as NLO:…”

Section: Nnlomentioning

confidence: 99%

“…Recently we have reported an analysis of the proton structure function as well as the gluon distribution at small x using the Taylor approximated [1,2] DGLAP equations [3][4][5][6]. The precision of the recent experimental data [7] demands the correction terms of the splitting function atleast upto NLO [8,9] and preferrably NNLO [10][11][12] in DGLAP evolution equations.…”

Section: Introductionmentioning

confidence: 99%

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Analytical models of the proton structure function and the gluon distribution at small x beyond leading order

Choudhury,

Machahari

2020

Preprint

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We incorporate the next-to-leading order (NLO) and the next-to-next-to-leading order (NNLO) effects in the models of the Singlet Structure function F S 2 (x, t) and the gluon distribution G(x, t) using DGLAP equations approximated at small x. Analytical solutions both at the next-to leading order (NLO) as well as the next-to-next-to leading order (NNLO) are obtained. We then make comparisons with exact results.

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Ratio of the structure functions and the color dipole model bound

Boroun

Rezaei

2019

Nuclear Physics A

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We observe that the DGLAP evolution equations at NNLO analysis predicts a ratio of the structure functions in region of small Bjorken variable x. The ratio FL(x, Q 2 )/F2(x, Q 2 ) is obtained and compared with the prediction of the dipole model and HERA data. In particular we show that this ratio is lower than dipole model bound at high-Q 2 values and it is higher at low-Q 2 values . Then the effect of adding a higher twist term to the description of the ratio FL(x, Q 2 )/F2(x, Q 2 ) for Q 2 < 20 GeV 2 is investigated. Also the bounds are discussed by including charm distribution on FL/F2. We discuss, furthermore, how this ratio can be determine the proton structure function with respect to the reduced cross section at high-y values.

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An improved analysis of proton structure function F2(x,t) at small x

Cited by 6 publications

References 20 publications

Nonlinear corrections on the parametrization methods

Nonlinear corrections on the parametrization methods

Analytical models of the proton structure function and the gluon distribution at small x beyond leading order

Ratio of the structure functions and the color dipole model bound

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