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Related papers: Solving the NLO BK equation in coordinate space

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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 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 2015-08-17 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

We solve the Balitsky-Kovchegov evolution equation at next-to-leading order accuracy including a resummation of large single and double transverse momentum logarithms to all orders. We numerically determine an optimal value for the constant…

High Energy Physics - Phenomenology · Physics 2016-05-06 T. Lappi , H. Mäntysaari

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 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

The next-to-leading order (NLO) Balitsky-Kovchegov (BK) equation describing the high-energy evolution of the scattering between a dilute projectile and a dense target suffers from instabilities unless it is supplemented by a proper…

High Energy Physics - Phenomenology · Physics 2019-05-01 B. Ducloué , E. Iancu , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

A stable numerical solution of the impact-parameter-dependent next-to-leading order Balitsky-Kovchegov equation is presented for the first time. The rapidity evolution of the dipole amplitude is discussed in detail. Dipole amplitude…

High Energy Physics - Phenomenology · Physics 2025-12-12 J. Cepila , J. G. Contreras , M. Matas , M. Vaculciak

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

The Balitsky-Fadin-Kuraev-Lipatov equation in the next-to-leading logarithmic approximation is solved using an iterative method. We derive the solution for forward scattering with all conformal spins. A discussion of the infrared finiteness…

High Energy Physics - Phenomenology · Physics 2009-11-10 Jeppe R. Andersen , Agustin Sabio Vera

We solve the Balitsky-Fadin-Kuraev-Lipatov equation in the next-to-leading logarithmic approximation for forward scattering with all conformal spins using an iterative method.

High Energy Physics - Phenomenology · Physics 2007-05-23 Agustin Sabio Vera

We discuss the high energy diffractive dissociation in DIS at the Next to Leading Order. In the large $N_c$ dipole limit we derive the NLO version of the Kovchegov-Levin equation. We argue that the original structure of the equation is…

High Energy Physics - Phenomenology · Physics 2014-10-21 Michael Lublinsky

The next-to-leading order (NLO) corrections to the BFKL equation in the BLM optimal scale setting are briefly discussed. A striking feature of the BLM approach is rather weak Q^2-dependence of the Pomeron intercept, which might indicate an…

High Energy Physics - Phenomenology · Physics 2016-11-23 Victor T. Kim , Lev N. Lipatov , Grigorii B. Pivovarov

When computed to next-to-leading order in perturbative QCD, the non-linear Balitsky-Kovchegov (BK) equation for the high-energy evolution of the dipole-hadron scattering appears to be unstable. We show that this instability can be avoided…

High Energy Physics - Phenomenology · Physics 2021-02-03 B. Ducloué , E. Iancu , A. H. Mueller , G. Soyez , 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

The next-to-leading order (NLO) corrections to the BFKL equation in the BLM optimal scale setting are briefly discussed. A striking feature of the BLM approach is rather weak Q^2-dependence of the Pomeron intercept, which might indicate an…

High Energy Physics - Phenomenology · Physics 2007-05-23 Victor T. Kim , Lev N. Lipatov , Grigorii B. Pivovarov

The high-energy evolution in perturbative QCD suffers from a severe lack-of-convergence problem, due to higher order corrections enhanced by double and single transverse logarithms. We resum double logarithms to all orders within the…

High Energy Physics - Phenomenology · Physics 2016-11-23 E. Iancu , J. D. Madrigal , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

We discuss the high energy asymptotics in the next-to-leading (NLO) BFKL equation. We find a general solution for Green functions and consider two properties of the NLO BFKL kernel: running QCD coupling and large NLO corrections to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Eugene Levin

To study scattering amplitudes at high-energy, the T-product of two currents can be expanded in terms of coefficient functions (impact factors) and matrix elements of ``composite color dipoles'' made of Wilson line operators with rapidity…

High Energy Physics - Phenomenology · Physics 2010-11-19 Giovanni Antonio Chirilli

Solutions of the target-rapidity Balitsky-Kovchegov (BK) equation are studied considering, for the first time, the complete impact-parameter dependence, including the orientation of the dipole with respect to the impact-parameter vector. In…

High Energy Physics - Phenomenology · Physics 2023-12-01 J. Cepila , J. G. Contreras , M. Vaculciak
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