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The recent $F_2$ data can be described using the DGLAP evolution equations with an appropriate choice of input distributions and the choice of the starting scale for the $Q^2$ evolution. We demonstrate in this paper that we cannot conclude…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Ayala , M. B. Gay Ducati , Victor P. Goncalves

It is shown that a Bessel-like behaviour of the structure function F2 at small x, obtained for a flat initial condition in the DGLAP evolution equations, leads to good agreement with the deep inelastic scattering experimental data from…

High Energy Physics - Phenomenology · Physics 2012-02-21 Alexey Yu. Illarionov , Anatoly V. Kotikov

It is demonstrated that the global properties of the rapidity gap events at HERA can be understood based on electron-gluon scattering and a non-perturbative mechanism of colour neutralization. Using the measured inclusive structure function…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. Buchmuller , A. Hebecker

Accurate gluon densities at small $x$ are essential for reducing theoretical uncertainties in collider predictions, yet remain one of the least constrained ingredients in global analyses. We report recent advances in the resummation of…

High Energy Physics - Phenomenology · Physics 2025-12-02 Francesco Giovanni Celiberto , Marco Bonvini

The procedure used for structure function measurements at HERA is briefly described and related to the properties of kinematic reconstruction. The reconstruction methods of the inclusive deep inelastic scattering variables are reviewed and…

High Energy Physics - Experiment · Physics 2009-10-31 Ursula Bassler , Gregorio Bernardi

Using the leading-twist approximation of the Wilson operator product expansion with "frozen" and analytic versions of the strong-coupling constant, we show that the Bessel-inspired behavior of the structure function F_2 and its slope\break…

High Energy Physics - Phenomenology · Physics 2009-10-02 G. Cvetic , A. Yu. Illarionov , B. A. Kniehl , A. V. Kotikov

We present results for the structure function F_L for a gluon target having nonzero transverse momentum square at order \alpha_s. The results of double convolution (with respect to Bjorken variable x and the transverse momentum) of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Kotikov , A. V. Lipatov , N. P. Zotov

We calculate DIS-scheme splitting and coefficient functions for electromagnetic deep inelastic scattering with small x resummations, as given by the NLL BFKL equation with running coupling and approximate NLL resummed impact factors. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. D. White , R. S. Thorne

At present there is no correct theory of evolution of F_2(x,Q^2) at small x. It is a mixture of hard and soft pomeron exchange and perturbative QCD very successfully describes the evolution of the hard-pomeron component. This allows the…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Donnachie , P. V. Landshoff

The behavior of the structure function at high energies (high densities) is directly associated to the gluon distribution. In this paper we analyze the asymptotic behavior of the structure function at very high densities considering a…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. B. Gay Ducati , V. P. Goncalves

We present exploratory studies of the proton structure via two distinct kinds of gluon densities: the transverse-momentum dependent functions, whose evolution is determined by the CSS equation, and the unintegrated gluon distribution, whose…

High Energy Physics - Phenomenology · Physics 2022-10-18 Francesco Giovanni Celiberto

We present an analysis of the most precise set of HERA data within the color dipole formalism, by using an analytical gluon density, based on the double-logarithm approximation of the DGLAP equations in the asymptotic limit of the scaling…

High Energy Physics - Phenomenology · Physics 2023-01-09 D. A. Fagundes , M. V. T. Machado

We propose a new evolution equation for the gluon density relevant for the region of small $x_B$. It generalizes the GLR equation and allows deeper penetration in dense parton systems than the GLR equation does. This generalization consists…

High Energy Physics - Phenomenology · Physics 2009-09-25 E. Laenen , E. Levin

The latest structure function results, as presented at the ICHEP98 conference, are reviewed. A brief introduction to the formalism and the status of global analyses of parton distributions is given. The review focuses on three experimental…

High Energy Physics - Experiment · Physics 2007-05-23 A. T. Doyle

We investigate the dependence of the deep inelastic proton structure function $F_L(x, Q^2)$ on different forms of the transverse momentum dependent (TMD, or unintegrated) gluon distribution. We present a comparison of theoretical results…

High Energy Physics - Phenomenology · Physics 2023-01-25 Lipatov A. V. , Lykasov G. I. , Malyshev M. A

We perform analysis of the small x non-linear evolution equation formulated in momentum space supplemented by higher order terms. The equation is defined in wide range of transverse momentum and longitudinal momentum fraction extending…

High Energy Physics - Phenomenology · Physics 2025-06-03 Krzysztof Kutak , Wanchen Li , Anna Stasto , Robert Straka

We report a semi-analytical approach for the solution of the nonlinear Gribov-Levin-Ryskin-Mueller-Qiu (GLR-MQ) evolution equation for sea quark distribution and investigate the effect of gluon shadowing on the small-x and moderate-Q^2…

High Energy Physics - Phenomenology · Physics 2018-08-09 Mayuri Devee

An approach to fast fits of the unintegrated gluon density has been developed and used to determine the unintegrated gluon density by fits to deep inelastic scatting di-jet data from HERA. The fitting method is based on the determination of…

High Energy Physics - Phenomenology · Physics 2008-08-07 A. Knutsson , A. Bacchetta , H. Jung , K. Kutak

The transverse momentum dependent gluon density obtained with CCFM evolution is determined from a fit to the latest combined HERA structure function measurements.

High Energy Physics - Phenomenology · Physics 2012-06-11 Hannes Jung , Francesco Hautmann

We propose a modified Balitsky-Fadin-Kuraev-Lipatov equation from the viewpoint of the resummation technique, which contains an intrinsic dependence on momentum transfer Q, and satisfies the unitarity bound. The idea is to relax the strong…

High Energy Physics - Phenomenology · Physics 2016-09-06 Hsiang-nan Li