Two-loop diagrams in nonrelativistic QCD with elliptics
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 d...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2019-11-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321319302664 |
| _version_ | 1819050029074087936 |
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| author | B.A. Kniehl A.V. Kotikov A.I. Onishchenko O.L. Veretin |
| author_facet | B.A. Kniehl A.V. Kotikov A.I. Onishchenko O.L. Veretin |
| author_sort | B.A. Kniehl |
| collection | DOAJ |
| description | 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(ε) in d=4−2ε 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. |
| first_indexed | 2024-12-21T11:41:32Z |
| format | Article |
| id | doaj.art-938dd1040ae14fa790dd5d398fce563a |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-21T11:41:32Z |
| publishDate | 2019-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-938dd1040ae14fa790dd5d398fce563a2022-12-21T19:05:17ZengElsevierNuclear Physics B0550-32132019-11-01948Two-loop diagrams in nonrelativistic QCD with ellipticsB.A. Kniehl0A.V. Kotikov1A.I. Onishchenko2O.L. Veretin3Department of Physics, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA 92093, USA; Corresponding author.Bogolyubov Laboratory for Theoretical Physics, JINR, 141980 Dubna (Moscow region), RussiaBogolyubov Laboratory for Theoretical Physics, JINR, 141980 Dubna (Moscow region), Russia; Skobeltsyn Institute of Nuclear Physics, Moscow State University, 119991 Moscow, RussiaInstitut für Theoretische Physik, Universität Regensburg, Universitätsstraße 31, 93053 Regensburg, Germany; II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, GermanyWe 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(ε) in d=4−2ε 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.http://www.sciencedirect.com/science/article/pii/S0550321319302664 |
| spellingShingle | B.A. Kniehl A.V. Kotikov A.I. Onishchenko O.L. Veretin Two-loop diagrams in nonrelativistic QCD with elliptics Nuclear Physics B |
| title | Two-loop diagrams in nonrelativistic QCD with elliptics |
| title_full | Two-loop diagrams in nonrelativistic QCD with elliptics |
| title_fullStr | Two-loop diagrams in nonrelativistic QCD with elliptics |
| title_full_unstemmed | Two-loop diagrams in nonrelativistic QCD with elliptics |
| title_short | Two-loop diagrams in nonrelativistic QCD with elliptics |
| title_sort | two loop diagrams in nonrelativistic qcd with elliptics |
| url | http://www.sciencedirect.com/science/article/pii/S0550321319302664 |
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