Mueller, Dieter and Schaefer, Andreas (2006) Complex conformal spin partial wave expansion of generalized parton distributions and distribution amplitudes. NUCLEAR PHYSICS B, 739 (1-2). pp. 1-59. ISSN 0550-3213, 1873-1562
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We introduce a new representation of generalized parton distributions and generalized distribution amplitudes that is based on the partial wave decomposition with respect to the complex collinear conformal spin. This decomposition leads us to a versatile parameterization of these non-perturbative functions in terms of conformal moments, which are measurable for integer value on the lattice. This new representation has several advantages: basic properties and crossing relations are automatically implemented, a rather flexible parameterization is possible, the numerical treatment of evolution is simple and analytic approximation of scattering amplitudes can be given. We demonstrate this for simple examples. In particular, phenomenological considerations indicate that the t-dependence of Mellin moments is governed by Regge trajectories. The new representation is vital to Push the analysis of deeply virtual Compton scattering to next-to-next-to-leading order. (c) 2006 Elsevier B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | VIRTUAL COMPTON-SCATTERING; 3-LOOP SPLITTING FUNCTIONS; IMPACT PARAMETER SPACE; TO-LEADING ORDER; EXCLUSIVE ELECTROPRODUCTION; EVOLUTION-EQUATIONS; STRING-OPERATORS; J/PSI MESONS; QCD; HERA; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 16 Feb 2021 10:09 |
| Last Modified: | 16 Feb 2021 10:09 |
| URI: | https://pred.uni-regensburg.de/id/eprint/34702 |
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