Momentum fractions carried by quarks and gluons in models of proton structure functions at small <i>x</i>

Choudhury, D. K.; Saikia, Baishali; Kalita, K.

doi:10.1142/s0217751x1750107x

Cited by 5 publications

(2 citation statements)

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“…After a short introduction to "fractal" and fractal distribution, we try to describe the sea quark distributions inside protons with a mono fractal approach that uses a fixed exponent for initial sea densities. Although such an approach to describe the DIS processes and proton structure at low x region is not new [19,24,25,[40][41][42][43], we show that this parametrization can describe the proton structure functions not only at low x region, but also at low Q 2 region which is excluded from other global analyses of PDFs [44].…”

Section: Phenomenological Parametrization For Initial Pdfsmentioning

confidence: 99%

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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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Section: Phenomenological Parametrization For Initial Pdfsmentioning

confidence: 99%

“…Knowledge of these densities at much smaller value of x will be needed for any collider predictions. So, it is very important to know the parton distribution functions at low x very well [15][16][17][18][19][20][21][22][23][24][25][26][27][28].…”

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confidence: 99%

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

Mohsenabadi¹,

Tehrani²,

Taghavi-Shahri³

2021

Preprint

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Q²dependence of the fractional momenta carried by smallxquarks and gluons in models of proton structure function

Machahari

Choudhury

2019

Mod. Phys. Lett. A

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Recently, we suggested two alternative analytical models of proton structure function [Formula: see text] and gluon distribution [Formula: see text] at small [Formula: see text] [L. Machahari and D. K. Choudhury, Eur. Phys. J. A 54, 69 (2018); Commun. Theor. Phys. 71, 56 (2019)] derived from the coupled DGLAP equations for quarks and gluons approximated by Taylor expansion. In this work, we compute the partial momentum fractions carried by quarks and gluons in limited small [Formula: see text] range: [Formula: see text] and compare them with few other models available in the current literature. The analysis leads to understand qualitatively the effects of notions like Froissart saturation and self-similarity in the proton at small [Formula: see text]. We also study if our results conform to the total momentum fractions as predicted in perturbative and lattice QCD.

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Froissart bound and self-similarity based models of proton structure functions

Choudhury

Saikia

2018

Int. J. Mod. Phys. A

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Froissart Bound implies that the total proton-proton cross-section (or equivalently structure function) cannot rise faster than the logarithmic growth log 2 s ∼ log 2 1/x, where s is the square of the center of mass energy and x is the Bjorken variable. Compatibility of such behavior with the notion of self-similarity in a model of structure function suggested by us sometime back is now generalized to more recent improved self-similarity based models and compare with recent data as well as with the model of Block, Durand, Ha and McKay. Our analysis suggests that Froissart bound compatible self-similarity based models are possible with log 2 1/x rise in limitedx − Q 2 ranges of HERA data, but their phenomenological ranges validity are narrower than the corresponding models having power law rise in 1/x.

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Momentum fractions carried by quarks and gluons in models of proton structure functions at small x

Cited by 5 publications

References 50 publications

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

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

Q²dependence of the fractional momenta carried by smallxquarks and gluons in models of proton structure function

Froissart bound and self-similarity based models of proton structure functions

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Momentum fractions carried by quarks and gluons in models of proton structure functions at small x

Cited by 5 publications

References 50 publications

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

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

Q2dependence of the fractional momenta carried by smallxquarks and gluons in models of proton structure function

Froissart bound and self-similarity based models of proton structure functions

Contact Info

Product

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About

Q²dependence of the fractional momenta carried by smallxquarks and gluons in models of proton structure function