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      A new Monte Carlo study of evolution equation with coherence

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          Abstract

          We solve CCFM evolution equation numerically using the CohRad program based on Monte Carlo methods. We discuss the effects of removing soft emissions and non-Sudakov form factor by comparing the obtained distributions as functions of accumulated transverse momenta or fractions of proton's longitudinal momenta. We also compare the solution of the CCFM with the DGLAP equation in the gluonic channel. Finally, we analyze the infra-red behaviour of solutions using the so-called diffusion plots.

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          NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories

          We study next-to-leading corrections to the integral kernel of the BFKL equation for high energy cross-sections in QCD and in supersymmetric gauge theories. The eigenvalue of the BFKL kernel is calculated in an analytic form as a function of the anomalous dimension \gamma of the local gauge-invariant operators and their conformal spin n. For the case of an extended N=4 SUSY the kernel is significantly simplified. In particular, the terms non-analytic in n are canceled. We discuss the relation between the DGLAP and BFKL equations in the N=4 model.
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            BFKL and CCFM evolutions with saturation boundary

            We perform numerical studies of the BFKL and CCFM equations for the unintegrated gluon distribution supplemented with an absorptive boundary which mimics saturation. For the BFKL equation, this procedure yields the same results for the saturation momentum and the gluon distribution above saturation as the non-linear BK equation, for both fixed and running coupling, and for all the considered energies. This similarity goes beyond expectations based on the correspondence with statistical physics, which hold only for fixed coupling and asymptotically high energies. For the CCFM equation, whose non-linear generalization is not known, our method provides the first study of the approach towards saturation. We find that, in the running-coupling case, the CCFM and BFKL predictions for the energy dependence of the saturation momentum are identical within our numerical accuracy. A similar saturation boundary could be easily implemented in the CCFM-based Monte Carlo event generators, so like CASCADE.
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              Monte Carlo solutions of the QCD evolution equations

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                Author and article information

                Journal
                2013-02-01
                2013-04-09
                Article
                10.1016/j.physletb.2013.04.022
                1302.0293
                e92e18d3-6673-44e5-86f4-09e2a8e55b67

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                IFJPAN-IV-2012-16
                Physics Letters B 722 (2013), pp. 151-156
                12 pages, 8 figures, accepted for publication in Physics Letters B
                hep-ph

                High energy & Particle physics
                High energy & Particle physics

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