Scaling violations in the Q2 logarithmic derivative of F2

Gotsman, E.; Ferreira, E.; Levin, E.; Maor, U.; Naftali, E.

doi:10.1016/s0370-2693(01)00066-1

Cited by 11 publications

(22 citation statements)

References 36 publications

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“…3). For larger Q 2 , the low-x saturation value is larger and is reached at smaller values of x, as claimed also in [52]. Moreover, the growth of xG(x, Q 2 , | b ⊥ | = 0) with decreasing x becomes stronger with increasing Q 2 .…”

Section: A Scenario For Gluon Saturationsupporting

confidence: 76%

S-matrix unitarity, impact parameter profiles, gluon saturation and high-energy scattering

2002

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A model combining perturbative and non-perturbative QCD is developed to compute high-energy reactions of hadrons and photons and to investigate saturation effects that manifest the S-matrix unitarity. Following a functional integral approach, the S-matrix factorizes into light-cone wave functions and the universal amplitude for the scattering of two color-dipoles which are represented by Wegner-Wilson loops. In the framework of the non-perturbative stochastic vacuum model of QCD supplemented by perturbative gluon exchange, the loop-loop correlation is calculated and related to lattice QCD investigations. With a universal energy dependence motivated by the twopomeron (soft + hard) picture that respects the unitarity condition in impact parameter space, a unified description of pp, πp, Kp, γ * p, and γγ reactions is achieved in good agreement with experimental data for cross sections, slope parameters, and structure functions. Impact parameter profiles for pp and γ * L p reactions and the gluon distribution of the proton xG(x, Q 2 , | b ⊥ |) are calculated and found to saturate in accordance with S-matrix unitarity. The c.m. energies and Bjorken x at which saturation sets in are determined.

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Section: A Scenario For Gluon Saturationsupporting

confidence: 76%

S-matrix unitarity, impact parameter profiles, gluon saturation and high-energy scattering

2002

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“…has direct relationship with the gluon distribution function G(x, Q 2 ) [46,47]. Hence, we predict our results of dF 2 (x, Q 2 )/d ln Q 2 in x and Q 2 using the solutions of GLR-MQ-ZRS equation and then compare our results with the HERA data [48].…”

Section: Dglap Equation Was Modified By Incorporating Correlation Amo...mentioning

confidence: 66%

Small-x analysis on the effect of gluon recombinations inside hadrons in light of the GLR-MQ-ZRS equation

2019

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We present a study of the contribution of antishadowing effects on the gluon distribution functions G(x, Q 2 ) in light of the Gribov-Levin-Ryskin-Mueller-Qiu, Zhu-Ruan-Shen (GLR-MQ-ZRS) nonlinear equation at small-x, where x is the momentum fraction or Bjorken variable and Q 2 is the four momentum transfer squared or photon virtuality. In this work, we have solved the GLR-MQ-ZRS nonlinear equation using Regge like behaviour of gluons in the kinematic range of 10 −2 ≤ x ≤ 10 −6 and 5 GeV 2 ≤ Q 2 ≤ 100 GeV 2 respectively. We have obtained the solution of G(x, Q 2 ) by considering two particular cases: (a) α s fixed; and (b) the leading order QCD dependency of α s on Q 2 . A comparative analysis is also performed where we compare the gluon distribution function due to inclusion of the antishadowing effect with that of the gluon distribution without including the antishadowing effect. Our obtained results of G(x, Q 2 ) are compared with NNPDF3.0, CT14 and PDF4LHC. We also compare our results with the result obtained from the IMParton C++ package. Using the solutions of G(x, Q 2 ), we have also predicted x and Q 2 evolution of the logarithmic derivative of proton's F 2 structure function i.e. dF 2 (x, Q 2 )/d ln Q 2 .We incorporated both the leading order(LO) and next-to-leading order (NLO) QCD contributions of the gluon-quark splitting kernels, in dF 2 (x, Q 2 )/d ln Q 2 . Our result of dF 2 (x, Q 2 )/d ln Q 2 agrees reasonably well with the experimental data recorded by HERA's H1 detector. * mlalung@tezu.ernet.in † pragyanp@tezu.ernet.in ‡ jks@tezu.ernet.in

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“…Indeed, the DGLAP evolution equation of the Q 2 logarithmic slope of F 2 at low x, at leading order, is directly proportional to the gluon structure function. But, according to these corrections (fusion of two gluon ladders), the shadowing corrections to the evolution of the structure function with respect to lnQ 2 corresponds with a modified DGLAP evolution equation [10][11][30][31][32]. At low x, the nonsinglet contribution is negligible and can be ignord, so that…”

Section: Numerical Estimatesmentioning

confidence: 99%

An approximate approach to the nonlinear DGLAP evaluation equation

Boroun

Zarrin

2013

Eur. Phys. J. Plus

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We determined the effects of the first nonlinear corrections to the gluon distribution using the solution of the QCD nonlinear Dokshitzer-Gribov-Lipatov-Altarelli-parisi (NLDGLAP) evolution equation at small x. By using a Laplace-transform technique, the behavior of the gluon distribution is obtained by solving the Gribov, Levin, Ryskin, Mueller and Qiu (GLR-MQ) evolution equation with the nonlinear shadowing term incorporated. We show that the strong rise that is corresponding to the linear QCD evolution equations at small-x can be tamed by screening effects. Consequently, the nonlinear effects for the gluon distributions are calculated and compared with the results for the integrated gluon density from the Balitsky-Kovchegov(BK) equation. The resulting analytic expression allow us to predict the shadowing correction to the logarithmic derivative F2(x, Q 2 ) with respect to lnQ 2 and to compare the results with H1 data and a QCD analysis fit.

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Scaling violations in the Q2 logarithmic derivative of F2

Cited by 11 publications

References 36 publications

S-matrix unitarity, impact parameter profiles, gluon saturation and high-energy scattering

S-matrix unitarity, impact parameter profiles, gluon saturation and high-energy scattering

Small-x analysis on the effect of gluon recombinations inside hadrons in light of the GLR-MQ-ZRS equation

An approximate approach to the nonlinear DGLAP evaluation equation

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