Multiparton evolution equations in QCD

• Applicant: Professor Dr. Vladimir Braun
• Subject Area: Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
• Term: from 2008 to 2015
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 52793812

In the first part of this project we have developed a novel alrebraic approach to the study of the scale dependence of higher-twist parton distributions in QCD. It is based on maximal use of the conformal symmetry and allows one to bypass calculation of Feynman diagrams. The complete set of renormalization group kernels is constructed for twist-four operators, which serve as "building blocks" in the evolution equations. The proposed continuation is concentrated on applications of this technique to several problems that are relevant for phenomenology: e.g. single-spin asymmetries, higher-twist and heavy-quark contributions to the total cross section of deep inelastic scattering (DIS), and target mass corrections in exclusive reactions, in particular those involving generalized parton distributions.

• DFG Programme: Research Grants