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Related papers: Solving the NLO BK equation in coordinate space

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It is shown that the next-to-leading order (NLO) corrections to the QCD Pomeron intercept obtained from the BFKL equation, when evaluated in non-Abelian physical renormalization schemes with BLM optimal scale setting do not exhibit the…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky , Victor S. Fadin , Victor T. Kim , Lev N. Lipatov , Grigorii B. Pivovarov

The Balitsky-Fadin-Kuraev-Lipatov (BFKL) evolution equation is known to be ``unstable'' with respect to fluctuations in gluon virtuality, transverse momentum and energy requiring to go beyond the leading order BFKL. Still, these…

High Energy Physics - Phenomenology · Physics 2017-08-23 R. B. Peschanski

A detailed description of the asymptotic behaviour in the Belinski-Khalatnikov-Lifshitz (BKL) scenario is presented through a simple geometric picture illustrating the geometry of their ordinary differential equations (ODE), which describe…

Mathematical Physics · Physics 2025-01-14 Piotr P. Goldstein

We analyse the Balitsky-Kovchegov (BK) saturation equation in momentum space and solve it numerically. We confirm that, in the limit where the transverse momentum of the incident particle k is much bigger than the momentum transfer q, the…

High Energy Physics - Phenomenology · Physics 2009-11-11 C. Marquet , G. Soyez

The universal traveling wave solution to the Balitsky-Kovchegov equation with running coupling (and other equations in the same universality class) is extended to subleading orders at large rapidity and small dipole size $r$. The large…

High Energy Physics - Phenomenology · Physics 2010-08-04 Guillaume Beuf

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

The study presents an analytic solution of the Balitsky-Kovchegov~(BK) equation in a particular kinematics. The solution is written in the momentum space and based on the eigenfunctions of the truncated Balitsky-Fadin-Kuraev-Lipatov~(BFKL)…

High Energy Physics - Phenomenology · Physics 2015-05-08 Sergey Bondarenko , Alex Prygarin

We present the results for the calculation of the forward jet vertex associated to a rapidity gap (coupling of a hard pomeron to the jet) in the Balitsky-Fadin-Kuraev-Lipatov (BFKL) formalism at next-to-leading order (NLO). We handle the…

High Energy Physics - Phenomenology · Physics 2014-10-17 M. Hentschinski , J. D. Madrigal Martinez , B. Murdaca , A. Sabio Vera

The BK equation in the conformal basis is considered and analyzed. It is shown that at high energy a factorization of the coordinate and rapidity dependence should hold. This allows to simplify significantly the from of the equation under…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Bondarenko , A. Prygarin

We show that the forward-jet measurements performed at HERA allow for a detailed study of corrections due to next-to-leading logarithms (NLL) in the Balitsky-Fadin-Kuraev-Lipatov (BFKL) approach. While the description of the d\sigma/dx data…

High Energy Physics - Phenomenology · Physics 2010-03-25 O. Kepka , C. Marquet , R. Peschanski , C. Royon

High-energy scattering in pQCD in the Regge limit is described by the evolution of Wilson lines governed by the BK equation. In the leading order, the BK equation is conformally invariant and the eigenfunctions of the linearized BFKL…

High Energy Physics - Phenomenology · Physics 2024-09-09 Ian Balitsky , Giovanni A. Chirilli

High-energy behavior of amplitudes in a gauge theory can be reformulated in terms of the evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the conformally invariant BK equation for the evolution of…

High Energy Physics - Phenomenology · Physics 2009-09-28 Ian Balitsky , Giovanni A. Chirilli

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

The initial analyses of the next-to-leading logarithmic corrections to the BFKL kernel were very discouraging. Encouraged by the success of new methods in the analysis of the BFKL equation at full NLL accuracy we demonstrate in this talk…

High Energy Physics - Phenomenology · Physics 2015-06-25 Jeppe R. Andersen

We study the leading (LO) and the next-to-leading order (NLO) stability of multipole perturbations for a static dielectric M2-brane with spherical topology in the 11-dimensional maximally supersymmetric plane-wave background. We observe a…

High Energy Physics - Theory · Physics 2021-11-09 Minos Axenides , Emmanuel Floratos , Dimitrios Katsinis , Georgios Linardopoulos

We consider a version of QCD dipole cascading corresponding to a finite number n of discrete steps Delta Y of branching in rapidity. The discretization scheme preserving the holomorphic factorizability and scale-invariance in position space…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Bialas , R. Peschanski

Recent concerns about the very large next-to-leading logarithmic (NLL) corrections to the BFKL equation are addressed by the introduction of a physical rapidity-separation parameter $\Delta$. At the leading logarithm (LL) this parameter…

High Energy Physics - Phenomenology · Physics 2016-08-25 Carl R. Schmidt

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

We present a next-to-leading order (NLO) QCD corrections to $B_c\to \eta_c$ and $B_c\to J/\psi$ tensor form factors within nonrelativistic QCD (NRQCD) framework. The full analytical results for $B_c$ to S-wave charmonium tensor form factors…

High Energy Physics - Phenomenology · Physics 2022-06-29 Wei Tao , Zhen-Jun Xiao , Ruilin Zhu

We extend the search for traveling-wave asymptotic solutions of the non-linear Balitsky-Kovchegov (BK) saturation equation to non-forward dipole-target amplitudes. Making use of conformal invariant properties of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Marquet , R. Peschanski , G. Soyez