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Related papers: A new evolution equation

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An approximated solution for gluon distribution from DGLAP evolution equations with NLO splitting function in the small-$x$ limit is presented. We first obtain the simplified forms of LO and NLO splitting functions in the small-$x$ limit.…

High Energy Physics - Phenomenology · Physics 2024-01-29 Jingxuan Chen , Xiaopeng Wang , Yanbing Cai , Xurong Chen , Qian Wang

We derive an evolution equation for the generating functional which accounts for processes for both gluon emission and recombination. In terms of color dipoles, the kernel of this equation describes evolution as a classical branching…

High Energy Physics - Phenomenology · Physics 2009-11-11 Eugene Levin , Michael Lublinsky

We introduce a coupled pair of evolution equations for the unintegrated gluon distribution and the sea quark distribution which incorporate both the resummed leading $\ln (1/x)$ BFKL contributions and the resummed leading $\ln (Q^2)$ DGLAP…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Kwiecinski , A. D. Martin , A. Stasto

We expand our group classification of quasilinear evolution equations (Acta Appl.Math., v.69, 2001) to the case of general evolution equation in one spatial variable. This enables obtaining several new classes of evolution equations with…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Renat Zhdanov , Victor Lahno

Employing the representation of the experimental data on deep inelastic electron-proton scattering (DIS) in the color-dipole picture (CDP), we determine the gluon distribution of the proton at small Bjorken $x$. At sufficiently large…

High Energy Physics - Phenomenology · Physics 2025-12-02 G. R. Boroun , M. Kuroda , Dieter Schildknecht

The enhanced suppression of $J/\psi$ production at large $x_F$ in $pA$ collisions is studied in the framework of gluon depletion at large $x_1$. The nonperturbative process that modifies the gluon distribution as the gluons propagate in…

Nuclear Theory · Physics 2009-11-07 Rudolph C. Hwa , Jan Pisut , Neva Pisutova

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…

High Energy Physics - Phenomenology · Physics 2019-09-25 M. Lalung , P. Phukan , J. K. Sarma

Motivated by the relation existing between the gluon density in a hadron and the multiplicity of the particles measured in the final state of hadron-nucleus collisions, we study systematically the fluctuations of the gluon density in onia,…

High Energy Physics - Phenomenology · Physics 2019-01-02 Laura Dominé , Giuliano Giacalone , Cédric Lorcé , Stéphane Munier , Simon Pekar

We calculate the spin density matrix of a back-to-back quark-antiquark pair inclusively produced in electron-nucleus scattering, taking into account the gluon saturation effect and the linearly polarized gluon distribution. We then…

High Energy Physics - Phenomenology · Physics 2026-04-14 Michael Fucilla , Yoshitaka Hatta , Bo-Wen Xiao

We consider soft gluon evolution at the amplitude level to expose the structure of colour reconnection from a perturbative point of view. Considering the cluster hadronization model and an universal Ansatz for the soft anomalous dimension…

High Energy Physics - Phenomenology · Physics 2018-12-05 Stefan Gieseke , Patrick Kirchgaeßer , Simon Plätzer , Andrzej Siodmok

We gauge the impact of soft-gluon resummation on quark distributions by performing a simple fit of Deep Inelastic Scattering structure function data using next-to-leading order (NLO) and next-to-leading-logarithmic (NLL)-resummed…

High Energy Physics - Phenomenology · Physics 2009-11-11 Gennaro Corcella , Lorenzo Magnea

We propose a more physical parameterization of the gluon distribution for global parton analyses of deep inelastic and related hard scattering data. In the new parameterization the gluon distribution at large x in the MSbar-scheme is driven…

High Energy Physics - Phenomenology · Physics 2011-03-23 A. D. Martin , R. G. Roberts , W. J. Stirling , R. S. Thorne

We reconsider the evolution equations for multigluon correlators derived in hep-ph/9709432. We show how to derive these equations directly in terms of vector potentials (or colour field strength) avoiding the introduction of the concept of…

High Energy Physics - Phenomenology · Physics 2016-08-25 Alex Kovner , J. Guilherme Milhano

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

Relying on previous results that link entanglement entropy and parton distribution functions in deep inelastic scattering and focusing on the small Bjorken scaling region we present here indications that gluon shadowing might indeed be…

High Energy Physics - Phenomenology · Physics 2021-04-07 Paolo Castorina , Alfredo Iorio , Daniele Lanteri , Petr Lukes

DGLAP evolution equations are modified in order to use all the quark families in the full scale range, satisfying kinematical constraints and sumrules, thus having complete continuity for the pdfs and observables. Some consequences of this…

High Energy Physics - Phenomenology · Physics 2011-11-15 C. Pascaud

The solution of non-linear evolution equations for dense nuclear gluon density has been suggested as one of the relevant mechanisms of pA and AA collisions at collider energies. Here we study a simple parameterization for the unintegrated…

High Energy Physics - Phenomenology · Physics 2010-02-11 M. A. Betemps , M. V. T. Machado

Saturation and geometrical scaling (GS) of gluon distributions are a consequence of the non-linear evolution equations of QCD. We argue that in pp GS holds for the inelastic cross-section rather than for the multiplicity distributions. We…

High Energy Physics - Phenomenology · Physics 2016-07-15 Michal Praszalowicz

We study parton-branching solutions of QCD evolution equations and present a method to construct both collinear and transverse momentum dependent (TMD) parton densities from this approach. We work with next-to-leading-order (NLO) accuracy…

High Energy Physics - Phenomenology · Physics 2018-02-14 F. Hautmann , H. Jung , A. Lelek , V. Radescu , R. Zlebcik

We study the impact of the QCD DGLAP evolution on the geometric scaling of the gluon distributions which is expected to hold at small x within the saturation models. To this aim we solve the DGLAP evolution equations with the initial…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Kwiecinski , A. M. Stasto
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