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Related papers: Saturation and Wilson Line Distributions

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The small-$x$ deep inelastic scattering in the saturation region is governed by the non-linear evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the BK equation for the evolution of color dipoles.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ian Balitsky , Giovanni A. Chirilli

We propose a novel way of studying the gluon number density (the so-called Weizs\"acker-Williams gluon distribution) using the planned Electron Ion Collider. Namely, with the help of the azimuthal correlations between the total transverse…

High Energy Physics - Phenomenology · Physics 2021-09-01 Andreas van Hameren , Piotr Kotko , Krzysztof Kutak , Sebastian Sapeta , Elżbieta Żarów

We propose a modified Balitskii-Fadin-Kuraev-Lipatov equation from the viewpoint of the resummation technique, which satisfies the unitarity bound. The idea is to relax the strong rapidity ordering and to restrict phase space for real gluon…

High Energy Physics - Phenomenology · Physics 2009-10-30 Hsiang-nan Li

We consider a gedanken experiment of the scattering of a current off a large nucleus to study the gluon saturation at the small-x limit and compute the Sudakov factor of this process through a one-loop calculation. The differential cross…

High Energy Physics - Phenomenology · Physics 2014-04-30 Ya-ping Xie , Xurong Chen

We present a sample of 32 stars of spectral types G and K, and luminosity classes I to V, with moderate activity levels, covering four orders of magnitude of surface gravity and a representative range of effective temperature. For each star…

Solar and Stellar Astrophysics · Physics 2024-12-18 F. Rosas-Portilla , K. -P. Schröder , D. Jack

We compute the inclusive differential cross section production of the pseudo-scalar meson eta' in high-energy proton-proton (pp) and proton-nucleus (pA) collisions. We use an effective coupling between gluons and eta' meson to derive a…

High Energy Physics - Phenomenology · Physics 2009-03-04 Francois Fillion-Gourdeau , Sangyong Jeon

We calculate the Sudakov-limited maximum phase-space density associated with the linearly polarized gluon TMD coefficient $h_1^{\perp g}$ in the saturation region. Using Mueller's occupancy argument together with the small-$x$…

High Energy Physics - Phenomenology · Physics 2026-05-28 Lei Wang

We evaluate the unintegrated gluon distribution of the proton starting from a parametrization of the color dipole cross section including DGLAP evolution and saturation effects. To this end, we perform the Fourier-Bessel transform of…

High Energy Physics - Phenomenology · Physics 2022-12-14 Agnieszka Łuszczak , Marta Łuszczak , Wolfgang Schäfer

We discuss gluon scattering amplitudes/null-polygonal Wilson loops of N = 4 super Yang-Mills theory at strong coupling based on the gauge/string duality and its underlying integrability. We focus on the amplitudes/Wilson loops corresponding…

High Energy Physics - Theory · Physics 2015-06-12 Yuji Satoh

We find approximate solutions to the renormalization group equation which governs the quantum evolution of the effective theory for the Color Glass Condensate. This is a functional Fokker-Planck equation which generates in particular the…

High Energy Physics - Phenomenology · Physics 2010-11-30 Edmond Iancu , Larry McLerran

The physics of the Wilson line leads to new developments in high temperature particle physics. The main tool is the effective action for a given fixed value of the phase of the Wilson line. It furnishes a gauge invariant infrared cut off,…

High Energy Physics - Theory · Physics 2009-09-25 S. Bronoff , G. Dvali , K. Farakos , C. P. Korthals Altes

We present an analysis of the color-dipole picture (CDP) for determination of the gluon density at low-$x$ which is obtained from the Altarelli-Martinelli equation by expansion at distinct points of expansion. The dipole cross-sections with…

High Energy Physics - Phenomenology · Physics 2025-02-14 G. R. Boroun

The GLR-MQ equation is a nonlinear evolution equation that takes into account the shadowing effect, which tames the growth of the gluon at small-$x$. In this study, we analytically solve for the first time the nonlinear GLR-MQ equation…

High Energy Physics - Phenomenology · Physics 2024-01-30 Yanbing Cai , Xiaopeng Wang , Xurong Chen

We numerically study the effects of high gluon density at small x on the evolution of gluon distribution function in both hadrons and nuclei. Using a newly derived, Wilson renormalization group-based evolution equation which includes n to 1…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jamal Jalilian-Marian , Xin-Nian Wang

The all-order structure of scattering amplitudes is greatly simplified by the use of Wilson line operators, describing eikonal emissions from straight lines extending to infinity. A generalization at subleading powers in the eikonal…

High Energy Physics - Theory · Physics 2022-04-13 Domenico Bonocore , Anna Kulesza , Johannes Pirsch

We use data on the deep inelastic structure function F_2 in order to constrain the cross-section for scattering a colour dipole off a proton. The data seem to prefer parameterisations which include saturation effects. That is they indicate…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. R. Forshaw , G. Shaw

We use the Color Glass Condensate (CGC) framework to study the production of forward heavy quark-antiquark pairs in unpolarized proton-nucleus or proton-proton collisions in the small-x regime. In the limit of nearly back-to-back jets, the…

High Energy Physics - Phenomenology · Physics 2018-02-26 Cyrille Marquet , Claude Roiesnel , Pieter Taels

We present a set of formulae to extract the gluon distribution function from the deep inelastic structure function F$_2$ and its derivative dF$_2$/dlnQ$^2$ at small x in the leading and next-to-leading order of perturbation theory. The…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. V. Kotikov , G. Parente

The gluon distribution is obtained from the Golec-Biernat-W$\ddot{\mathrm{u}}$sthoff (GBW) and Bartels, Golec-Biernat and Kowalski (BGK) models at low $x$. We derive analytical results for the unintegrated color dipole gluon distribution…

High Energy Physics - Phenomenology · Physics 2025-09-24 G. R. Boroun

We compute the distribution functions for gluons at very small x and not too large values of transverse momenta. We extend the McLerran-Venugopalan model by using renormalization group methods to integrate out effects due to those gluons…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jamal Jalilian-Marian , Alex Kovner , Larry McLerran , Heribert Weigert