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We compute the next-to-next-to-leading order (NNLO) contributions to the three splitting functions governing the evolution of unpolarized non-singlet combinations of quark densities in perturbative QCD. Our results agree with all partial…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Moch , J. A. M. Vermaseren , A. Vogt

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

The decay widths of top quark to S-wave $b\bar{c}$ and $b\bar{b}$ bound states are evaluated at the next-to-leading(NLO) accuracy in strong interaction. Numerical calculation shows that the NLO corrections to these processes are remarkable.…

High Energy Physics - Phenomenology · Physics 2014-11-20 Peng Sun , Li-Ping Sun , Cong-Feng Qiao

We derive the asymptotic traveling-wave solutions of the nonlinear 1-dimensional Balitsky-Kovchegov QCD equation for rapidity evolution in momentum-space, with 1-loop running coupling constant and equipped with the…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Peschanski , S. Sapeta

We analyze the relation between evolution equations at low x that have been derived in different approaches in the last several years. We show that the equation derived by Balitsky and Kovchegov is obtained from the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alex Kovner , J. Guilherme Milhano , Heribert Weigert

NLO evolution of the Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner (JIMWLK) equation with massless quarks was derived a few years ago. We make a step further to compute the evolution kernels focusing on the effects due to finite…

High Energy Physics - Phenomenology · Physics 2022-08-10 Lin Dai , Michael Lublinsky

We consider deeply inelastic scattering at very high energies in the saturation regime. The emerging picture corresponds to the propagation of a dipole, the quark-antiquark pair, in a shock wave color field of the target. We use the…

High Energy Physics - Phenomenology · Physics 2014-11-17 I. I. Balitsky , A. V. Belitsky

The nonlinear evolution equation for the scattering amplitude of colour dipole off the heavy nucleus is solved in the double logarithmic approximation. It is found that if the initial parton density in a nucleus is smaller then some…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Levin , K. Tuchin

The transverse momentum distribution of soft hadrons and jets that accompany central hard-scattering production at hadron colliders is of great importance, since it has a direct bearing on the ability to separate new physics signals from…

High Energy Physics - Phenomenology · Physics 2014-11-17 V. A. Khoze , A. D. Martin , M. G. Ryskin , W. J. Stirling

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

We derive two coupled non-linear evolution equations corresponding to the truncation of the Balitsky infinite hierarchy of saturation equations after inclusion of dipole-dipole correlations, i.e. one step beyond the Balitsky-Kovchegov (BK)…

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

A persistent and fascinating problem at the high energy colliders are jets. Often trying to observe physics underlying the hard interactions at colliders requires experimental cuts in phase space, defining several jet or beam regions. QCD…

High Energy Physics - Phenomenology · Physics 2015-09-01 Duff Neill

Deep inelastic scattering at small x can be described very effectively using saturation inspired dipole models. We investigate whether such models are compatible with the numerical solutions of the Balitsky-Kovchegov (BK) equation which is…

High Energy Physics - Phenomenology · Physics 2007-06-13 Daniel Boer , Andre Utermann , Erik Wessels

In a previous publication, we have constructed a set of non-linear evolution equations for dipole scattering amplitudes in QCD at high energy, which extends the Balitsky-JIMWLK hierarchy by including the effects of fluctuations in the gluon…

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

We study the impact of next-to-next-to-leading order (NNLO) QCD corrections on partial decay rates in B --> X_u l nu decays, at leading-order in the 1/m_b expansion for shape-function kinematics. These corrections are implemented within a…

High Energy Physics - Phenomenology · Physics 2010-02-11 C. Greub , M. Neubert , B. D. Pecjak

We reanalyze the origin of the large transverse logarithms associated with the QCD one loop beta-function coefficient in the NLO JIMWLK Hamiltonian. We show that some of these terms are not associated with the running of the QCD coupling…

High Energy Physics - Phenomenology · Physics 2023-08-31 Alex Kovner , Michael Lublinsky , Vladimir V. Skokov , Zichen Zhao

A quantity that promises to reveal important information on perturbative and non-perturbative QCD dynamics is the azimuthal decorrelation between jets in different hard processes. In order to access this information fixed-order NLO…

High Energy Physics - Phenomenology · Physics 2008-11-26 Andrea Banfi , Mrinal Dasgupta , Yazid Delenda

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

In this paper, we use the re-summation procedure, suggested in Refs.\cite{DIMST,SALAM,SALAM1,SALAM2}, to fix the BFKL kernel in the NLO. However, we suggest a different way to introduce th non-linear corrections in the saturation region,…

High Energy Physics - Phenomenology · Physics 2020-12-02 Carlos Contreras , Eugene Levin , Rodrigo Meneses , Michael Sanhueza

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