Analytical approach for the approximate solution of the longitudinal structure function with respect to the GLR-MQ equation at small x

Rezaei, B.; Boroun, G. R.

doi:10.1016/j.physletb.2010.07.047

Cited by 18 publications

(8 citation statements)

References 21 publications

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“…The inverse Laplace transform of brackets in Eqs. (6) and (7) are defined as kernels Egi and Esi (i=1 and 2) respectively. We firstly refer to the ν-space as Ef i(ν, t)≡L −1 [[....]; ν] (f = g, s) then define ν≡ ln(1/x).…”

Section: Formulism Decoupling Dglapmentioning

confidence: 99%

“…These nonlinear corrections have been calculated by Gribov, Levin,Ryskin, Mueller and Qiu (GLR-MQ) [5] and tame the parton distributions behavior at sufficiently low x. In recent years [6][7], the Regge-like behavior for the gluon density used in the GLR-MQ equation. The key ingredient is the gluon behavior in this region, especially the effect of screening on the Regee trajectory.…”

Section: Introductionmentioning

confidence: 99%

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The behavior of the structure function by using the effective exponent at low x

Rezaei

Boroun

2019

Eur. Phys. J. A

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An analytical solution of the QCD evolution equations for the singlet and gluon distribution is presented. We decouple DGLAP evolution equations into the initial conditions by using a Laplace transform method at N n LO analysis. The relationship between the nonlinear behavior and color dipole model is considered based on an effective exponent behavior at low-x values. We obtain the effective exponent at NLO analysis from the decoupled behavior of the distribution functions. The proton structure function compared with H1 data from the inclusive structure function F2(x, Q 2 ) for x≤ 10 −2 and 5≤Q 2 ≤250 GeV 2 . * Electronic address: brezaei@razi.ac.ir † Electronic address:

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Section: Formulism Decoupling Dglapmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The behavior of the structure function by using the effective exponent at low x

Rezaei

Boroun

2019

Eur. Phys. J. A

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“…Some studies of the GLR-MQ equation in the framework of extracting the PDF, of the free proton is given in Refs. [42][43][44].Various studies in the solutions and viable generalisations of the GLR-MQ equation have been reported in recent years [42,45].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Effects in Gluon Distribution Predicted by GLR-MQ Evolution Equation at Next-to-leading Order in LHC Data

2017

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In this work we have solved the nonlinear GLR-MQ evolution equation upto next-to-leading order (NLO) by considering NLO terms of the gluon-gluon splitting functions and running coupling constant α s (Q 2 ). Here, we have incorporated a Regge-like behaviour of gluon distribution in order to obtain a solution of the GLR-MQ equation in the range of 5GeV 2 ≤ Q 2 ≤ 25GeV 2 . We have studied the Q 2 evolution of the gluon distribution function G(x, Q 2 ) and its nonlinear effects at small-x. It can be observed from our analysis that the nonlinearities increase with decrease in the correlation radius R of two interacting gluons, as expected. We have compared our result of G(x, Q 2 ) as Q 2 increases and x decreases, for two different values of R, viz. R= 2 GeV −1 and 5 GeV −1 . We have also checked the sensitivity of the Regge intercept λ G on our results. We compare our computed results with those obtained by the global analysis to parton distribution functions (PDFs) by various collaborations where LHC data have been included viz. PDF4LHC15, NNPDF3.0, ABM12 and CT14. Besides we have also shown comparison of our results with HERA PDF data viz. HERAPDF15.

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“…Here, we consider the range x ≥ 10 −3 . We expect that at low initial scale the DGLAP evolution with a leading twist is not sufficient at low x [93,94] and one needs to consider the higher twist corrections in the DGLAP equation [95][96][97][98][99][100][101]. It should be mentioned here that there is also uncertainty from the longitudinal basis resolution within the initial scale PDFs.…”

Section: B Qcd Evolution Of Heavy Meson Pdfsmentioning

confidence: 98%

Parton distribution functions of heavy mesons on the light front

Lan

Mondal

et al. 2020

Phys. Rev. D

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The parton distribution functions (PDFs) of heavy mesons are evaluated from their light-front wave functions, which are obtained from a basis light-front quantization in the leading Fock sector representation. We consider the mass eigenstates from an effective Hamiltonian consisting of the confining potential adopted from light-front holography in the transverse direction, a longitudinal confinement, and a one-gluon exchange interaction with running coupling. We present the gluon and the sea quark PDFs which we generate dynamically from the QCD evolution of the valence quark distributions.

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Analytical approach for the approximate solution of the longitudinal structure function with respect to the GLR-MQ equation at small x

Cited by 18 publications

References 21 publications

The behavior of the structure function by using the effective exponent at low x

The behavior of the structure function by using the effective exponent at low x

Nonlinear Effects in Gluon Distribution Predicted by GLR-MQ Evolution Equation at Next-to-leading Order in LHC Data

Parton distribution functions of heavy mesons on the light front

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