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In the high-energy limit of DIS experiments the effective degrees of freedom of QCD are Wilson line operators. Their evolution in the rapidity variable is predicted by the set of Balitsky-JIMWLK evolution equations. We analyze a new class…

High Energy Physics - Phenomenology · Physics 2024-10-22 Piotr Korcyl , Leszek Motyka , Tomasz Stebel

The high-energy evolution of Wilson line operators, which at leading order is described by the Balitsky-JIMWLK equations, receives large radiative corrections enhanced by single and double collinear logarithms at next-to-leading order and…

High Energy Physics - Phenomenology · Physics 2016-09-21 Yoshitaka Hatta , Edmond Iancu

High-energy evolution equations, such as the BFKL, BK or JIMWLK equations, aim at resumming the high-energy (next-to-)leading logarithms appearing in QCD perturbative series. However, the standard derivations of those equations are…

High Energy Physics - Phenomenology · Physics 2014-04-30 Guillaume Beuf

We perform a detailed analysis of the different forms of the kinematical constraint imposed on the low $x$ evolution that appear in the literature. We find that all of them generate the same leading anti-collinear poles in Mellin space…

High Energy Physics - Phenomenology · Physics 2019-09-04 Michal Deak , Krzysztof Kutak , Wanchen Li , Anna M. Staśto

We study unequal rapidity correlators in the stochastic Langevin picture of Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner (JIMWLK) evolution in the Color Glass Condensate effective field theory. We discuss a diagrammatic…

High Energy Physics - Phenomenology · Physics 2019-09-11 Tuomas Lappi , Andrecia Ramnath

We study unequal rapidity correlators in the stochastic Langevin picture of Jalilian-Marian - Iancu - McLerran - Weigert - Leonidov - Kovner (JIMWLK) evolution in the Color Glass Condensate effective field theory. By separately evolving the…

High Energy Physics - Phenomenology · Physics 2019-10-22 Tuomas Lappi , Andrecia Ramnath

Within the effective theory for the Color Glass Condensate, we study multi-particle production with rapidity correlations in proton-nucleus collisions at high energy. The high-energy evolution responsible for such correlations is governed…

High Energy Physics - Phenomenology · Physics 2015-06-16 E. Iancu , D. N. Triantafyllopoulos

We propose a modified version of the Balitsky-Kovchegov (B-K) evolution equation, which includes the main NLO corrections. We use the result that the main NLO corrections to the BFKL kernel are the LO DGLAP corrections. We present a…

High Energy Physics - Phenomenology · Physics 2014-11-18 E. Gotsman , E. Levin , U. Maor , E. Naftali

We develop a new approximation scheme aiming at extracting higher-point correlation functions from the JIMWLK evolution, in the limit where the number of colors is large. Namely, we show that by exploiting the structure of the 'virtual'…

High Energy Physics - Phenomenology · Physics 2012-03-27 E. Iancu , D. N. Triantafyllopoulos

We include a resummation of large transverse momentum logarithms in the next-to-leading order (NLO) Balitsky-Kovchegov equation. The resummed evolution equation is shown to be stable, the evolution speed being significantly reduced by NLO…

High Energy Physics - Phenomenology · Physics 2017-02-22 T. Lappi , H. Mäntysaari

We explore the subleading-N_c corrections to the large-N_c Balitsky-Kovchegov (BK) evolution equation by comparing its solution to that of the all-N_c Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner (JIMWLK) equation. In earlier…

High Energy Physics - Phenomenology · Physics 2009-11-19 Yuri V. Kovchegov , Janne Kuokkanen , Kari Rummukainen , Heribert Weigert

The high-energy factorization and the associated B-JIMWLK or BK evolution equations are presented, using the example of DIS structure functions. The necessity of taking gluon saturation into account is discussed, and also the various…

High Energy Physics - Phenomenology · Physics 2015-05-30 Guillaume Beuf

Present knowledge of QCD n-point functions of Wilson lines at high energies is rather limited. In practical applications, it is therefore customary to factorize higher n-point functions into products of two-point functions (dipoles) which…

High Energy Physics - Phenomenology · Physics 2010-11-11 Adrian Dumitru , Jamal Jalilian-Marian

After a brief introduction to Deep Inelastic Scattering in the Bjorken limit and in the Regge Limit we discuss the operator product expansion in terms of non local string operator and in terms of Wilson lines. We will show how the…

High Energy Physics - Phenomenology · Physics 2010-02-25 Giovanni Antonio Chirilli

We propose a method for solving the Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner (JIMWLK) evolution equation on quantum computers. Our approach exploits the reformulation of the JIMWLK equation as a Lindblad master equation…

High Energy Physics - Phenomenology · Physics 2026-03-04 Anjali A. Agrawal , Evan Budd , Alexander F. Kemper , Vladimir V. Skokov , Andrey Tarasov , Shaswat Tiwari

We show that the Balitsky-JIMWLK equations proposed to describe non-linear evolution in QCD at high energy fail to include the effects of fluctuations in the gluon number, and thus to correctly describe both the low density regime and the…

High Energy Physics - Phenomenology · Physics 2011-01-25 E. Iancu , D. N. Triantafyllopoulos

We demonstrate that the Balitsky-JIMWLK equations describing the high-energy evolution of the n-point functions of the Wilson lines (the QCD scattering amplitudes in the eikonal approximation) admit a controlled mean field approximation of…

High Energy Physics - Phenomenology · Physics 2015-06-03 E. Iancu , D. N. Triantafyllopoulos

We include resummation of large transverse logarithms into the next-to-leading order Balitsky-Kovchegov equation. The resummed NLO evolution equation is shown to be stable, the evolution speed being significantly reduced by higher order…

High Energy Physics - Phenomenology · Physics 2016-05-13 T. Lappi , H. Mäntysaari

In processes involving small-x partons, like in deep inelastic scattering and in hadronic collisions at high energy, the final state can be expressed in terms of correlators of Wilson lines. We study such high-point correlators evolving…

High Energy Physics - Phenomenology · Physics 2013-02-06 M. Alvioli , G. Soyez , D. N. Triantafyllopoulos

We note the differences between the Kovchegov equation and the Balitsky-JIMWLK equations as methods of evaluating high energy hard scattering near the unitarity limit. We attempt to simulate some of the correlations absent in the Kovchegov…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. H. Mueller , A. I. Shoshi
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