Ablinger, J. and Behring, A. and Bluemlein, Bluemlein and De Freitas, A. and von Manteuffel, Andreas and Schneider, C. and Schoenwald, K. (2024) The non-first-order-factorizable contributions to the three-loop single-mass operator matrix elements AQg<SUP>(3)</SUP> and ΔAQg<SUP>(3)</SUP>. PHYSICS LETTERS B, 854: 138713. ISSN 0370-2693, 1873-2445
Full text not available from this repository.Abstract
The non-first-order-factorizable contributions1 to the unpolarized and polarized massive operator matrix elements to three-loop order,..(3).... and...(3)...., are calculated in the single-mass case. For the 2..1-related master integrals of the problem, we use a semi-analytic method based on series expansions and utilize the first-order differential equations for the master integrals which does not need a special basis of the master integrals. Due to the singularity structure of this basis a part of the integrals has to be computed to..(..5) in the dimensional parameter. The solutions have to be matched at a series of thresholds and pseudo-thresholds in the region of the Bjorken variable...]0, 8[ using highly precise series expansions to obtain the imaginary part of the physical amplitude for...]0, 1] at a high relative accuracy. We compare the present results both with previous analytic results, the results for fixed Mellin moments, and a prediction in the small-.. region. We also derive expansions in the region of small and large values of... With this paper, all three-loop single-mass unpolarized and polarized operator matrix elements are calculated.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HEAVY FLAVOR CONTRIBUTIONS; STRUCTURE-FUNCTION F-2(X; ASYMPTOTIC VALUES Q(2); ANOMALOUS DIMENSIONS; WILSON COEFFICIENTS; 2-MASS CONTRIBUTION; MELLIN MOMENTS; SUMS; INTEGRALS |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Oct 2025 07:26 |
| Last Modified: | 29 Oct 2025 07:26 |
| URI: | https://pred.uni-regensburg.de/id/eprint/65242 |
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