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Related papers: Collinearly-improved BK evolution meets the HERA d…

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We consider the Banfi-Marchesini-Smye (BMS) equation which resums non-global energy logarithms in the QCD evolution of the energy lost by a pair of jets via soft radiation at large angles. We identify a new physical regime where, besides…

High Energy Physics - Phenomenology · Physics 2018-04-04 Y. Hatta , E. Iancu , A. H. Mueller , D. N. Triantafyllopoulos

We solved the impact-parameter dependent Balitsky-Kovchegov equation with the recently proposed collinearly imporved kernel. We find that the solutions do not present the Coulomb tails that have affected previous studies. We also show that…

High Energy Physics - Phenomenology · Physics 2019-04-03 J. Cepila , J. G. Contreras , M. Matas

We analytically solve the full next-to-leading logarithmic Balitsky-Kovchegov equation in the saturation regime, which includes corrections from quark and gluon loops, and large double transverse logarithms. The analytic result for the…

High Energy Physics - Phenomenology · Physics 2017-06-28 Wenchang Xiang , Shaohong Cai , Daicui Zhou

The most complete high-energy evolution of Wilson line operators is described by the set of equations called Balitsky-JIMWLK evolution equations. It is known from the studies of the linear - the BFKL - evolution equation that the leading…

High Energy Physics - Phenomenology · Physics 2024-05-24 P. Korcyl , L. Motyka , T. Stebel

The Balitsky-Kovchegov (BK) equation offers a tractable description of the high-energy growth of gauge-theory scattering amplitudes and the nonlinear saturation effects that eventually tame it. Motivated by the upcoming Electron-Ion…

High Energy Physics - Phenomenology · Physics 2026-01-05 Giacomo Brunello , Simon Caron-Huot , Giulio Crisanti , Mathieu Giroux , Sid Smith

We apply Bayesian inference to determine the posterior likelihood distribution for the parameters describing the initial condition of the small-$x$ Balitsky-Kovchegov evolution equation at leading logarithmic accuracy. The HERA structure…

High Energy Physics - Phenomenology · Physics 2024-03-13 Carlisle Casuga , Mikko Karhunen , Heikki Mäntysaari

In the high-energy limit of QCD, scattering off nucleons and nuclei can be described in terms of Wilson-line correlators whose energy dependence is perturbative. The energy dependence of the two-point correlator, called the dipole…

High Energy Physics - Phenomenology · Physics 2026-03-13 Meisen Gao , Zhong-Bo Kang , Jani Penttala , Ding Yu Shao

We present the first numerical solution to the next to leading order Balitsky-Kovchegov (BK) equation in coordinate space in the large-$N_\mathrm{c}$ limit. In addition to the dipole operator we also solve the evolution of the "conformal…

High Energy Physics - Phenomenology · Physics 2015-04-10 T. Lappi , H. Mäntysaari

We calculate finite-$N_\mathrm{c}$ corrections to the next-to-leading order (NLO) Balitsky-Kovchegov (BK) equation. We find analytical expressions for the necessary correlators of six Wilson lines in terms of the two-point function using…

High Energy Physics - Phenomenology · Physics 2020-11-04 T. Lappi , H. Mäntysaari , A. Ramnath

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 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

The very precise combined HERA data provides a testing ground in which the relevance of novel QCD regimes, other than the successful linear DGLAP evolution, in small-x inclusive DIS data can be ascertained. We present a study of the…

High Energy Physics - Phenomenology · Physics 2015-06-04 J. L. Albacete , J. G. Milhano , P. Quiroga-Arias , J. Rojo

To sum high energy leading logarithms in a consistent way, one has to impose the strong ordering in both projectile rapidity and dense target rapidity simultaneously, which results in a kinematically improved Balitsky-Kovchegov(BK)…

High Energy Physics - Phenomenology · Physics 2020-01-29 Du-xin Zheng , Jian Zhou

We use Bayesian inference to constrain the parameters describing the initial amplitude input to the Balitsky-Kovchegov evolution equation at next-to-leading order accuracy against precise HERA total inclusive cross section and heavy quark…

High Energy Physics - Phenomenology · Physics 2025-11-04 Carlisle Casuga , Henri Hänninen , Heikki Mäntysaari

An extended collinearly-improved Balitsky-Kovchegov evolution equation in the target rapidity representation is derived by including the running coupling corrections during the expansion of the "real" $S$-matrix. We find that the running…

High Energy Physics - Phenomenology · Physics 2021-07-28 Wenchang Xiang , Yanbing Cai , Mengliang Wang , Daicui Zhou

Experiments at the LHC are collecting a wealth of data with an unprecedented level of precision. As a consequence, the theoretical error is now starting to lag behind the experimental one, and a ceaseless effort is required to reduce the…

High Energy Physics - Phenomenology · Physics 2018-10-22 Luca Rottoli

We present posterior distributions of parameters that characterize the nonperturbative initial input for the Balitsky-Kovchegov evolution equation. The BK equation evolves an initial dipole-target scattering amplitude at moderate…

High Energy Physics - Phenomenology · Physics 2024-07-16 Carlisle Casuga , Mikko Karhunen , Heikki Mäntysaari

The Balitsky--Kovchegov (BK) evolution equation in its resummed integral form as obtained in JHEP 1202 (2012) 117 and arXiv:1206.1223 is considered. We solve it numerically and compare to the unresummed BK equation formulated as an integral…

High Energy Physics - Phenomenology · Physics 2013-09-17 Krzysztof Kutak , Wieslaw Placzek , Dawid Toton

The Balitsky-Kovchegov equation describes the high-energy growth of gauge theory scattering amplitudes as well as nonlinear saturation effects which stop it. We obtain the three-loop corrections to this equation in planar $\mathcal{N}=4$…

High Energy Physics - Phenomenology · Physics 2018-03-06 Simon Caron-Huot , Matti Herranen

We determine the initial condition of the Balitsky-Kovchegov evolution equation at next-to-leading order (NLO) accuracy using HERA deep inelastic scattering data. Posterior distributions characterizing the initial condition are extracted…

High Energy Physics - Phenomenology · Physics 2025-08-07 Carlisle Casuga , Henri Hänninen , Heikki Mäntysaari