The ratio of the charm structure functions F k c (k = 2, L) at low x in deep inelastic scattering with respect to the expansion method

Boroun, G. R.; Rezaei, B.

doi:10.1134/s1063776112090038

Cited by 13 publications

(6 citation statements)

References 19 publications

(9 reference statements)

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“…[44,45] (for c and b quarks) and Refs. [31] (for t quarks) and the published CT18 initial distribution functions [46], we present a series of control coefficients that are only a function of Q 2 . By multiplying these coefficients by the obtained coefficient functions in Ref.…”

Section: Theoretical Formalismmentioning

confidence: 99%

“…[45] (for c and b quarks) and Ref. [31] (for t quark) and also the CT18 distribution functions [46]. Then, we present the integrated and differential cross sections for heavy quarks in DIS and compare our numerical results with HERA data [4,5,14,17] and with the results from the MSTW2008 [47], MSRT03 [48] and H1PDF [49].…”

Section: Introductionmentioning

confidence: 96%

“…In Refs. [27][28][29][30][31][32], the connection between the gluon distribution and the structure functions of heavy quarks (c and b) has been theoretically shown at small x. Moreover, in Refs.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Production cross section of heavy quarks in ep interaction at the NLO approximation

Zarrin¹,

Dadfar²,

Sayahi³

2023

Preprint

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We present the production cross section of heavy quarks σ cc , σ b b and σ t t at the next-to-leading order in the electron-proton interaction by using the quarks and gluon distribution functions at the initial scale Q 2 0 . To do this, we use a fitted form of the heavy quark coefficient functions for deep-inelastic lepton-hadron scattering to obtain the structure functions of heavy quarks. Then, we calculate the reduced cross section of heavy quarks by using the structure functions and subsequently present the single differential and the integrated cross section of heavy quarks at the center-of-mass energies of √ s = 319 GeV , 1.3 T eV and 3.5 T eV in the electron-proton collision. The obtained numerical results of the cross section of the charm and beauty quarks are compared with the HERA data, which is a combination from the results of the H1 and ZEUS detectors, and with the predictions from H1PDF, MSTW2008 and MSRT03. Furthermore, we present the production cross section of top quark as a direct prediction from our calculations.

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Section: Theoretical Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

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Production cross section of heavy quarks in ep interaction at the NLO approximation

Zarrin¹,

Dadfar²,

Sayahi³

2023

Preprint

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“…Also authors in Refs. [2][3][4][5][6][7][8] show connection between the gluon distribution and heavy (charm and beauty) structure functions at small x. This search for charm and beauty production at HERA emphasizes the importance of having a consistent theoretical framework for heavy flavor production in DIS.…”

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confidence: 98%

Top structure function at the LHeC

Boroun

2015

Physics Letters B

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“…, reduces to x as χ→x. Recently several methods for the determination of the heavy quark longitudinal structure function in the nucleon have been proposed [34][35][36][37][38][39][40][41][42][43][44][45]. Recently, the ratio of structure functions in the heavy quark production processes, obtained using the the transverse momentum dependent gluon distribution function, can be found in [46].…”

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confidence: 99%

Effect of the parameterization of the distribution functions on the longitudinal structure function at small $x$

Boroun

2021

Preprint

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I use a direct method to extract the longitudinal structure function in the next-to-leading order approximation with respect to the number of active flavor from the parametrization of parton distributions. The contribution of charm and bottom quarks corresponding to the gluon distributions (i.e., Gn f =3(x, Q 2 ) and Gn f =5(x, Q 2 )) is considered. I compare the obtained longitudinal structure function at n f = 4 with the H1 data [Eur.Phys.J.C74, 2814(2014) and Eur.Phys.J.C71, 1579 (2011)] and the result L.P. Kaptari et al.[ Phys.Rev.D99, 096019(2019)] which is based on the Mellin transforms. These calculations compared with the results from CT18 [Phys. Rev.D103, 014013(2021)] parametrization model. The nonlinear effects on the gluon distribution improve the behavior of the longitudinal structure function in comparison with the H1 data and CT18 at low values of Q 2 .

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The ratio of the charm structure functions F k c (k = 2, L) at low x in deep inelastic scattering with respect to the expansion method

Cited by 13 publications

References 19 publications

Production cross section of heavy quarks in ep interaction at the NLO approximation

Production cross section of heavy quarks in ep interaction at the NLO approximation

Top structure function at the LHeC

Effect of the parameterization of the distribution functions on the longitudinal structure function at small $x$

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