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Related papers: Antishadowing effects in the unitarized BFKL equat…

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We test several BFKL-like evolution equations for unintegrated gluon distributions against forward-central dijet production at LHC. Our study is based on fitting the evolution scenarios to the LHC data using the high energy factorization…

High Energy Physics - Phenomenology · Physics 2015-10-28 Piotr Kotko , Wojciech Slominski , Dawid Toton

We present an evolution equation which simultaneously sums the leading BFKL and DGLAP logarithms for the integrated gluon distribution in terms of a single variable, namely the emission angle of the gluon. This form of evolution is…

High Energy Physics - Phenomenology · Physics 2014-10-07 E. G. de Oliveira , A. D. Martin , M. G. Ryskin

We computed the longitudinal proton structure function $F_{L}$, using the nonlinear Dokshitzer-Gribov-Lipatov-Altarelli-parisi (NLDGLAP) evolution equation approach at small $x$. For the gluon distribution, the nonlinear effects are related…

High Energy Physics - Phenomenology · Physics 2014-02-07 G. R. Boroun

We derive an evolution equation for the generating functional which accounts for processes for both gluon emission and recombination. In terms of color dipoles, the kernel of this equation describes evolution as a classical branching…

High Energy Physics - Phenomenology · Physics 2009-11-11 Eugene Levin , Michael Lublinsky

I examine the solution of the BFKL equation with NLO corrections relevant for deep inelastic scattering. Particular emphasis is placed on the part played by the running of the coupling. It is shown that the solution factorizes into a part…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. S. Thorne

A solution to the BBGKY hierarchy for nonequilibrium distribution functions is obtained within modified boundary conditions. The boundary conditions take into account explicitly both the nonequilibrium one-particle distribution function as…

Statistical Mechanics · Physics 2007-05-23 A. E. Kobryn , I. P. Omelyan , M. V. Tokarchuk

The number of gluons in the hadron wave function is discrete, and their formation in the chain of small $x$ evolution occurs over discrete rapidity intervals of $\Delta y \simeq 1/\as$. We therefore consider the evolution as a discrete…

High Energy Physics - Phenomenology · Physics 2011-01-25 Dmitri Kharzeev , Kirill Tuchin

We present a study of the contribution of antishadowing effects on the gluon distribution functions $G(x,Q^2)$ in light of the Gribov-Levin-Ryskin-Mueller-Qiu, Zhu-Ruan-Shen (GLR-MQ-ZRS) nonlinear equation at small-$x$, where $x$ is the…

High Energy Physics - Phenomenology · Physics 2019-09-25 M. Lalung , P. Phukan , J. K. Sarma

A truncated BFKL series is studied and applied to hadronic processes. The proton-(anti)proton cross sections are described with good agreement with data and in a way consistent with the unitarity bound. The elastic scattering amplitude is…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. B. Gay Ducati , M. V. T. Machado

Parton distributions in the small $x$ region are numerically predicted by using a modified DGLAP equation with the GRV-like input distributions. We find that gluon recombination at twist-4 level obviously suppresses the rapid growth of…

High Energy Physics - Phenomenology · Physics 2014-11-17 Wei Zhu , Jian-hong Ruan , Ji-feng Yang , Zhen-qi Shen

We analyze, in leading and next to leading order of BFKL, a possible influence of Beyond the Standard Model (BSM) effects on the structure of the discrete pomeron states. We show that the eigenvalues of the states which contribute…

High Energy Physics - Phenomenology · Physics 2015-06-05 H. Kowalski , L. N. Lipatov , D. A. Ross

We discuss the duality symmetry of the linear(BFKL) and the non-linear(BK) high energy evolutions in the multicolor limit. We show that the usual color dipole picture is dual to the forward reggeized gluon formulation. The presented…

High Energy Physics - Phenomenology · Physics 2009-12-15 Alex Prygarin

We found solutions to the linear but with complicated kernel and non-homogeneous evolution equations for the cross sections of productions of $n$-cut Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomerons in the final states of high energy DIS on a…

High Energy Physics - Phenomenology · Physics 2026-05-29 Carlos Contreras , José Garrido

We summarize recent progress in the resummation of perturbative evolution at small x. We show that the problem of incorporating BFKL small x logs in GLAP evolution is now completely solved, and that the main effect of small x resummation is…

High Energy Physics - Phenomenology · Physics 2017-08-23 Stefano Forte , Guido Altarelli , Richard D. Ball

We consider the Color Glass Condensate (CGC) at finite temperature, which would be relevant to the initial condition of relativistic heavy ion collisions and the energy loss of energetic partons in the quark-gluon plasma. In the weak source…

High Energy Physics - Phenomenology · Physics 2008-07-26 Kazuaki Ohnishi , Su Houng Lee

We find approximate solutions to the renormalization group equation which governs the quantum evolution of the effective theory for the Color Glass Condensate. This is a functional Fokker-Planck equation which generates in particular the…

High Energy Physics - Phenomenology · Physics 2010-11-30 Edmond Iancu , Larry McLerran

It is well understood that the leading logarithmic approximation for the amplitudes of high energy processes is insufficient and that the next-to-leading logarithmic effects are very large and lead to instability of the solution. The…

High Energy Physics - Phenomenology · Physics 2020-04-22 Michal Deak , Leonid Frankfurt , Mark Strikman , Anna Stasto

In this paper we deal with high energy scattering in the Regge limit, using a soft cascade approach. We derive an evolution equation for the gluon density in soft gluons cascades in the leading logarithmic approximation of perturbative QCD,…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Shuvaev , S. Wallon

We study the phase space distributions of gluons inside a nucleon/nucleus in the small-$x$ regime including the gluon saturation effect. This can be done by using the relation between the gluon Wigner distribution and the dipole S-matrix at…

High Energy Physics - Phenomenology · Physics 2016-12-07 Yoshikazu Hagiwara , Yoshitaka Hatta , Takahiro Ueda

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