5 The kinematic domains probed by the various experiments, shown together with the partons that they constrain
6 Gluon distribution and unintegrated gluon distribution The gluon distributions of the nucleon cannot be extracted directly from the measured structure functions in deep inelastic scattering experiments. They mainly are predicted by using the QCD evolution equations.
9 QCD Evolution Equations DGLAP (by Dokshitzer, Gribov, Lipatov, Altarelli and Parisi ) Small x BFKL (by Balitsky, Fadin, Kuraev and Lipatov) GLR-MQ (by Gribov, Levin and Ryskin, Mueller and Qiu) Modified DGLAP (by Zhu, Ruan and Shen) JIMWLK (by Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov and Kovner) Balitsky-Kovchegov equation Various versions of the evolution equations based on the color dipole picture
10 DGLAP BFKL Corrections of Gluon Fusion to DGLAP GLR-MQ-ZRS BFKL BK Fusion 3
41 我们掌握的 " 绝技 " 基於时序微扰理论的切割法则 W. Zhu, Nucl. Phys. B551, 245 (1999). W. Zhu and J.H. Ruan, Nucl. Phys. B559, 378(1999). W. Zhu, Z.Q. Shen and J.H. Ruan, Nucl. Phys. B692, 417 (2004);
42 Time ordred perturbation theory The sum of cut graphs is necessary not only for infrared safety, but also for collecting the leading contributions and restoring unitarity. The TOPT-cutting rules are proposed to present the simple connections among the relating cut-diagrams including real- and virtual-diagrams.
44 Consistency of four evolution equations The DGLAP and BFKL equations have the same evolution dynamics, which evolve on the Q^2-axis and the k_T-plane,respectively. The MD-DGLAP and MD-BFKL equations also have the same evolution dynamics, which evolve on the Q^2-axis and the k_T- plane, respectively.
48 Schematic kinematic regions of four evolution equations
49 Solutions of the MD-BFKL equation A stronger shadowing suppresses the gluon density and even leads to the gluon disappearance bellow the saturation region. This unexpected effect is caused by a chaotic solution of the new equation
60 The rapid increase of the gluon density with increasing energy will be stopped due to the gluon disappearance when x
"name": "60 The rapid increase of the gluon density with increasing energy will be stopped due to the gluon disappearance when x
61 Discussions Many higher order corrections areneglected, such as possible mixture of the operators with different twists, the NLL (next leading logarithmic) and NLO (next leading order) corrections, singularities from non- perturbativeparts in the factorization procedure.
62 Will the chaos effect in the MD- BFKL equation disappear after further corrections are considered? We could expect that more interesting chaos phenomena will appear in new MD-BFKL equation.These phenomena will most be interested to high energy physics and nonlinear science.