Braun, Vladimir M. and Manashov, Alexander N. and Moch, Sven-O. and Strohmaier, Matthias (2021) Three-loop off-forward evolution kernel for axial-vector operators in Larin's scheme. PHYSICAL REVIEW D, 103 (9): 094018. ISSN 2470-0010, 2470-0029
Full text not available from this repository. (Request a copy)Abstract
Evolution equations for leading-twist operators in high orders of perturbation theory can be restored from the spectrum of anomalous dimensions and the calculation of the special conformal anomaly at one order less using conformal symmetry of QCD at the Wilson-Fisher critical point at noninteger d = 4 - 2 epsilon space-time dimensions. In this work, we generalize this technique to axial-vector operators. We calculate the corresponding three-loop evolution kernels in Larin's scheme and derive explicit expressions for the finite renormalization kernel that describes the difference to the vector case to restore the conventional modified minimal subtraction scheme. The results are directly applicable to deeply virtual Compton scattering and the transition form factor gamma*gamma -> pi.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ANOMALOUS DIMENSIONS; SPLITTING FUNCTIONS; QCD; EQUATIONS |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Vladimir Braun |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Aug 2022 05:00 |
| Last Modified: | 23 Aug 2022 05:00 |
| URI: | https://pred.uni-regensburg.de/id/eprint/46806 |
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