Kniehl, B. A. and Kotikov, A. and Onishchenko, A. and Veretin, O. L. (2019) Two-loop diagrams in nonrelativistic QCD with elliptics. NUCLEAR PHYSICS B, 948: 114780. ISSN 0550-3213, 1873-1562
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We consider two-loop two-, three-, and four-point diagrams with elliptic subgraphs involving two different masses, m and M. Such diagrams generally arise in matching procedures within nonrelativistic QCD and QED and are relevant, e.g., for top-quark pair production at threshold and parapositronium decay. We present the obtained results in several different representations: series solution with binomial coefficients, integral representation, and representation in terms of generalized hypergeometric functions. The results are valid up to terms of O(epsilon) in d = 4 - 2 epsilon space-time dimensions. In the limit of equal masses, m = M, the obtained results are written in terms of elliptic constants with explicit series representations. (C) 2019 The Authors. Published by Elsevier B.V.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DIFFERENTIAL-EQUATIONS METHOD; MASSIVE FEYNMAN DIAGRAMS; VERTEX-TYPE DIAGRAMS; MASTER INTEGRALS; PAIR PRODUCTION; SCALE DIAGRAMS; 6TH ROOT; ONE-LOOP; POLYLOGARITHMS; EXPANSION; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 25 Mar 2020 10:52 |
| Last Modified: | 25 Mar 2020 10:52 |
| URI: | https://pred.uni-regensburg.de/id/eprint/25931 |
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