Goeckeler, Meinulf and Horsley, R. and Perlt, H. and Rakow, P. E. L. and Schaefer, Andreas and Schierholz, G. and Schiller, A. (2005) Perturbative renormalisation of the second moment of generalised parton distributions. NUCLEAR PHYSICS B, 717 (1-2). pp. 304-323. ISSN 0550-3213, 1873-1562
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We calculate the non-forward quark matrix elements of operators with two covariant derivatives needed for the renormalisation of the second moment of generalised parton distributions in one-loop lattice perturbation theory using Wilson fermions. For some representations of the hypercubic group commonly used in simulations we determine the sets of all possible mixing operators. For those representations the one-loop mixing matrices of renormalisation factors are found. Due to non-vanishing contributions of operators with external ordinary derivatives the number of contributing operators increases compared to forward matrix elements. (c) 2005 Elsevier B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | VIRTUAL COMPTON-SCATTERING; ONE-LOOP RENORMALIZATION; EXCLUSIVE ELECTROPRODUCTION; QUANTUM CHROMODYNAMICS; FORM-FACTOR; MESONS; QCD; DECOMPOSITION; ASYMMETRY; INTEGRALS; lattice QCD; perturbation theory; renormalisation; generalised parton distributions |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 10 May 2021 08:06 |
| Last Modified: | 10 May 2021 08:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/35991 |
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