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In this paper the exact analytical solution is found for the BFKL Pomeron calculus in QCD, in which all Pomeron loops have been included. This solution manifests the geometrical scaling behaviour and matches with the solution to the linear…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Levin

We extend the threshold resummation of the large logarithms $\ln x$ which appear in factorization formulas for exclusive $B$ meson decays, $x$ being a spectator momentum fraction, to the next-to-leading-logarithm (NLL) accuracy. It is shown…

High Energy Physics - Phenomenology · Physics 2021-07-28 Zhi-Qing Zhang , Hsiang-nan Li

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 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 solve the CCFM equation numerically in the presence of a boundary condition which effectively incorporates the non-linear dynamics. We retain the full dependence of the unintegrated gluon distribution on the coherence scale, and extract…

High Energy Physics - Phenomenology · Physics 2014-11-21 Emil Avsar , Anna M. Stasto

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

Perturbative corrections beyond leading-log accuracy to BFKL and BK equations, describing the rapidity evolution of QCD scattering amplitudes at high energy, exhibit strong convergence problems due to radiative corrections enhanced by large…

High Energy Physics - Phenomenology · Physics 2015-07-21 E. Iancu , J. D. Madrigal , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

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 investigate factorisation at small x using a variety of analytical and numerical techniques. Previous results on factorisation in collinear models are generalised to the case of the full BFKL equation, and illustrated in the example of a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Marcello Ciafaloni , Dimitri Colferai , Gavin P. Salam

Linear and non-linear QCD evolutions at high energy suffer from severe issues related to convergence, due to higher order corrections enhanced by large double and single transverse logarithms. We resum double logarithms to all orders by…

High Energy Physics - Phenomenology · Physics 2015-09-29 E. Iancu , J. D. Madrigal , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

We compute the virtual next-to-leading corrections to the impact factors or off-shell coefficient functions in the high-energy limit. When combined with the known real corrections, these results will provide the complete NLO corrections to…

High Energy Physics - Phenomenology · Physics 2016-08-25 Vittorio Del Duca , Carl R. Schmidt

It has been observed recently that a consistent LO BFKL gluon evolution leads to a steep growth of F_2(x,Q^2) for x -> 0 almost independently of Q^2. We show that current data from the DESY HERA collider are precise enough to finally rule…

High Energy Physics - Phenomenology · Physics 2014-11-17 I. Bojak , M. Ernst

We study effects of the running of the coupling in QCD at small Bjorken-x and in particular the ones related to gluon saturation. After introducing the steps taken to the derivation of the next to leading order nonlinear evolution equation,…

High Energy Physics - Phenomenology · Physics 2008-12-19 D. N. Triantafyllopoulos

In this lecture the next-to-leading order (NLO) corrections to the QCD Pomeron intercept obtained from the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation are discussed. It is shown that the BFKL Pomeron intercept when evaluated in…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. S. Fadin , V. T. Kim , L. N. Lipatov , G. B. Pivovarov

The corrections of gluon fusion to the DGLAP and BFKL equations are discussed in a united partonic framework. The resulting nonlinear evolution equations are the well-known GLR-MQ-ZRS equation and a new evolution equation. Using the…

High Energy Physics - Phenomenology · Physics 2016-08-08 Wei Zhu , Zhenqi Shen , Jianhong Ruan

We study in the BFKL approach the total hadronic cross section for the collision of two virtual photons for energies in the range of LEP2 and in the range of future linear colliders. The BFKL resummation is done at the next-to-leading order…

High Energy Physics - Phenomenology · Physics 2008-12-18 Francesco Caporale , Dmitry Yu. Ivanov , Alessandro Papa

We investigate effects of threshold resummation of logarithmic corrections $\ln N$ in Mellin space quantitatively. Threshold resummation leads to enhancement of next-to-leading-order QCD predictions for jet production at large jet…

High Energy Physics - Phenomenology · Physics 2015-06-25 Hung-Liang Lai , Hsiang-nan Li

I study the incorporation of renormalization group (RG) improved BFKL kernels in the Balitsky-Kovchegov (BK) equation which describes parton saturation. The RG improvement takes into account important parts of the next-to-leading and higher…

High Energy Physics - Phenomenology · Physics 2008-11-26 Rikard Enberg

We investigate the basic features of the gluon density predicted by a renormalisation group improved small-x equation which incorporates both the gluon splitting function at leading collinear level and the exact BFKL kernel at…

High Energy Physics - Phenomenology · Physics 2010-03-25 M. Ciafaloni , D. Colferai , G. P. Salam , A. M. Stasto

This is a summary of the contributions on the next-to-leading order corrections to the BFKL equation which were presented to the `Small-x and Diffraction' working group at the 1998 Durham Workshop on HERA Physics.

High Energy Physics - Phenomenology · Physics 2010-03-25 J. R. Forshaw , G. P. Salam , R. S. Thorne
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