NNLO solution of nonlinear GLR–MQ evolution equation to determine gluon distribution function using Regge like ansatz

Phukan, P.; Lalung, M.; Sarma, J. K.

doi:10.1016/j.nuclphysa.2017.09.003

Cited by 23 publications

(11 citation statements)

References 36 publications

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“…This shadowing term, which is quadractic in gluon density is coming from gluon recombinations inside the hadrons. In our previous work, we have studied extensively the gluon distribution functions by obtaining the solutions of GLR-MQ equation at leading order(LO) [14,15], next-to-leading order(NLO) [16] and next-to-next-to-leading order(NNLO) [17,18]. We observed the taming of gluon distribution function towards small- [19].…”

Section: Introductionmentioning

confidence: 99%

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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Section: Introductionmentioning

confidence: 99%

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

2019

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“…Thus we can say that the NNLO approximation has appreciable contribution to the gluon distribution function in the particular range of x and Q 2 under study. However, in the very small-x region, where the number density of gluons become very high, the gluon recombination processes may take place inducing nonlinear corrections to the QCD evolution and in that case the nonlinear GLR-MQ evolution equation may provide a good description of the high density QCD at very small-x, which is discussed elsewhere [52][53][54][55].…”

Section: Discussionmentioning

confidence: 99%

The NNLO QCD analysis of gluon distribution function at small-x

Devee,

Sarma

2018

Preprint

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A next-to-next-to-leading order (NNLO) QCD calculation of gluon distribution function at small-x is presented. The gluon distribution function is explored analytically in the DGLAP approach by a Taylor expansion at small x as two first order partial differential equations in two variables : Bjorken x and t (t = ln( Q 2 Λ 2 ). We have solved the system of equations at LO, NLO and NNLO respectively by the Lagranges method. The resulting analytical expressions are compared with the available global PDF fits as well as with the results of the BDM model. We have further performed a χ 2 test to check the compatibility of our predictions and observed that our results can be consistently described in the context of perturbative QCD. A comparative analysis of the obtained results at LO, NLO and NNLO reveals that the NNLO approximation has a significant contribution to the gluon distribution function particularly in the small-x region.

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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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NNLO solution of nonlinear GLR–MQ evolution equation to determine gluon distribution function using Regge like ansatz

Abstract: In this work we have suggested a solution of the Gribov-Levin-Ryskin,Mueller-Qiu

Cited by 23 publications

References 36 publications

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

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

The NNLO QCD analysis of gluon distribution function at small-x

Parton distribution functions of heavy mesons on the light front

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