Studies on gluon evolution and geometrical scaling in kinematic constrained unitarized BFKL equation: application to high-precision HERA DIS data

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

doi:10.1140/epjc/s10052-019-7007-x

Cited by 5 publications

(4 citation statements)

References 57 publications

(113 reference statements)

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“…The collaborations at HERA contributed high-precision data for measuring the proton structure function F p 2 at different kinematical regions of x and Q 2 [27,28]. Some recent works on the measurement of proton structure functions using various evolution equations and approaches are described in [29][30][31][32][33], and the results correlate well with the experimental data. In [34], for the first time, the reproduction of measurements of the DIS proton structure function at high energy from the color dipole description in momentum space was investigated.…”

Section: Introductionmentioning

confidence: 84%

Investigation of proton structure function F2p at HERA in light of an analytical solution to the Balitsky–Kovchegov equation

Saikia,

Phukan,

Kumar Sarma

2024

Commun. Theor. Phys.

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In this paper, the proton structure function F2 p(x, Q2) at small-x is investigated using an analytical solution of the Balitsky-Kovchegov (BK) equation. In the context of the color dipole description of deep inelastic scattering (DIS), the structure function F2 p(x, Q2) is computed by applying the analytical expression for the scattering amplitude N(k,Y) derived from the BK solution. At transverse momentum k and total rapidity Y, the scattering amplitude N(k,Y) represents the propagation of the quark-antiquark dipole in the color dipole description of DIS. Using the BK solution we extracted the integrated gluon density xg(x, Q2) and then compared our theoretical estimation with the LHAPDF global data fits NNPDF3.1sx and CT18. Finally, we investigated the behavior of F2 p(x, Q2) in the kinematic region 10-5 ≦ x ≦ 10-2 and 2.5 GeV2 ≦ Q2 ≦ 60 GeV2 . Our predicted results for F2 p(x, Q2) within the specified kinematic region are in good agreement with the recent high-precision data for F2 p(x, Q2) from HERA (H1 Collaboration) and the LHAPDF global parametrization group NNPDF3.1sx.

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Section: Introductionmentioning

confidence: 84%

Investigation of proton structure function F2p at HERA in light of an analytical solution to the Balitsky–Kovchegov equation

Saikia,

Phukan,

Kumar Sarma

2024

Commun. Theor. Phys.

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“…Some analytical solutions of nonlinear QCD evolution equations incorporating parton-parton recombination can be found in ref. [14][15][16][17]. The parton-parton recombination will tame down the gluon density in the high gluon density region of the scattering process.…”

Section: Introductionmentioning

confidence: 99%

An analytical solution of Balitsky-Kovchegov equation using homotopy perturbation method

Saikia¹,

Phukan²,

Sarma³

2022

Preprint

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An approximate analytical solution of the Balitsky-Kovchegov (BK) equation using the homotopy perturbation method (HPM) is suggested in this work. We have carried out our work in perturbative QCD (pQCD) dipole picture of deep inelastic scattering (DIS). The BK equation in momentum space with some change of variables and truncation of the BFKL (Balitsky-Fadin-Kuraev-Lipatov) kernel can be reduced to the FKPP (Fisher-Kolmogorov-Petrovsky-Piscounov) equation [Munier and Peschanski 2003]. The observed geometric scaling phenomena are similar to the travelling wave solution of the FKPP equation. We solved the BK equation using the HPM. The obtained solution in this work also suggests the travelling wave nature of the measured scattering amplitude N (k, Y ) plotted at various rapidities. The result obtained in this work can be helpful for different phenomenological studies in high-density QCD.

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“…In this regime, the dominant parton is the gluon and the key ingredient to calculate the scattering observables is the unintegrated gluon distributions (ugd's) entering through k t factorization formula. The ugd's are characterised by BFKL evolution [7][8][9], which sums the leading a x ln 1 s (…”

Section: Introductionmentioning

confidence: 99%

“…This is in accordance with our expectation, since BFKL evolution is supposed to be meant for semi-hard probes only, thereby a significant growth can be attributed at large Q 2 . In [9], an extensive study on QCD prediction to the HERA DIS data has been done, but for the modified BFKL equation, which is a nonlinear evolution equation that takes gluon fusion processes into account. However, in that previous work, no significant contribution from gluon shadowing was observed for DIS observables as even the extreme choice of gluon shadowing under study indicated a suppression of only about 10% or less at x=10 −3 for F 2 structure function.…”

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confidence: 99%

Small x phenomenology on gluon evolution through the BFKL equation in light of a constraint in multi-Regge kinematics

Phukan¹,

Lalung²,

Sarma³

2020

Commun. Theor. Phys.

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We investigate the impact of so called kinematic constraint on gluon evolution at small x. Implanting the constraint on the real emission term of gluon ladder diagram, we obtain an integrodifferential form of BFKL equation. Later we solve the equation analytically using the method of characteristics. We sketch the Bjorken x and transverse momentum k 2 t dependence of our solution of unintegrated gluon distributions f (x, k 2 t ) in kinematic constraint supplemented BFKL equation and contrasted the same with original BFKL equation. Then we extract the collinear gluon density xg(x, Q 2 ) from unintegrated gluon distributions f (x, k 2 t ) and compared our theoretical prediction with that of global data fits viz. NNPDF3.1sx and CT14. Finally we assess the sensitivity of f (x, k 2 t ) towards BFKL intercept λ for three canonical choices of λ viz. o.4, 0.5 and 0.6.As a consequence of these BFKL kinematics, so-called kinematic constraint or consistency constraint comes into the * pragyanp@tezu.ernet.in † mlalung@tezu.ernet.in ‡ jks@tezu.ernet.in

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Studies on gluon evolution and geometrical scaling in kinematic constrained unitarized BFKL equation: application to high-precision HERA DIS data

Cited by 5 publications

References 57 publications

Investigation of proton structure function F2p at HERA in light of an analytical solution to the Balitsky–Kovchegov equation

Investigation of proton structure function F2p at HERA in light of an analytical solution to the Balitsky–Kovchegov equation

An analytical solution of Balitsky-Kovchegov equation using homotopy perturbation method

Small x phenomenology on gluon evolution through the BFKL equation in light of a constraint in multi-Regge kinematics

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