Higher-order Sudakov resummation in coupled gauge theories
Abstract We consider the higher-order resummation of Sudakov double logarithms in the presence of multiple coupled gauge in. The associated evolution equations depend on the coupled β functions of two (or more) coupling constants α a and α b , as well as anomalous dimensions that have joint perturba...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2020)182 |
| _version_ | 1819063413622439936 |
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| author | Georgios Billis Frank J. Tackmann Jim Talbert |
| author_facet | Georgios Billis Frank J. Tackmann Jim Talbert |
| author_sort | Georgios Billis |
| collection | DOAJ |
| description | Abstract We consider the higher-order resummation of Sudakov double logarithms in the presence of multiple coupled gauge in. The associated evolution equations depend on the coupled β functions of two (or more) coupling constants α a and α b , as well as anomalous dimensions that have joint perturbative series in α a and α b . We discuss possible strategies for solving the system of evolution equations that arises. As an example, we obtain the complete three-loop (NNLL) QCD⊗QED Sudakov evolution factor. Our results also readily apply to the joint higher-order resummation of electroweak and QCD Sudakov logarithms. As part of our analysis we also revisit the case of a single gauge interaction (pure QCD), and study the numerical differences and reliability of various methods for evaluating the Sudakov evolution factor at higher orders. We find that the approximations involved in deriving commonly used analytic expressions for the evolution kernel can induce noticeable numerical differences of several percent or more at low scales, exceeding the perturbative precision at N3LL and in some cases even NNLL. Therefore, one should be cautious when using approximate analytic evolution kernels for high-precision analyses. |
| first_indexed | 2024-12-21T15:14:17Z |
| format | Article |
| id | doaj.art-67e172f5c1034b73acb342ff3c9122c8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T15:14:17Z |
| publishDate | 2020-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-67e172f5c1034b73acb342ff3c9122c82022-12-21T18:59:11ZengSpringerOpenJournal of High Energy Physics1029-84792020-03-012020313810.1007/JHEP03(2020)182Higher-order Sudakov resummation in coupled gauge theoriesGeorgios Billis0Frank J. Tackmann1Jim Talbert2Theory Group, Deutsches Elektronen-Synchrotron (DESY)Theory Group, Deutsches Elektronen-Synchrotron (DESY)Theory Group, Deutsches Elektronen-Synchrotron (DESY)Abstract We consider the higher-order resummation of Sudakov double logarithms in the presence of multiple coupled gauge in. The associated evolution equations depend on the coupled β functions of two (or more) coupling constants α a and α b , as well as anomalous dimensions that have joint perturbative series in α a and α b . We discuss possible strategies for solving the system of evolution equations that arises. As an example, we obtain the complete three-loop (NNLL) QCD⊗QED Sudakov evolution factor. Our results also readily apply to the joint higher-order resummation of electroweak and QCD Sudakov logarithms. As part of our analysis we also revisit the case of a single gauge interaction (pure QCD), and study the numerical differences and reliability of various methods for evaluating the Sudakov evolution factor at higher orders. We find that the approximations involved in deriving commonly used analytic expressions for the evolution kernel can induce noticeable numerical differences of several percent or more at low scales, exceeding the perturbative precision at N3LL and in some cases even NNLL. Therefore, one should be cautious when using approximate analytic evolution kernels for high-precision analyses.http://link.springer.com/article/10.1007/JHEP03(2020)182ResummationPerturbative QCDPrecision QED |
| spellingShingle | Georgios Billis Frank J. Tackmann Jim Talbert Higher-order Sudakov resummation in coupled gauge theories Journal of High Energy Physics Resummation Perturbative QCD Precision QED |
| title | Higher-order Sudakov resummation in coupled gauge theories |
| title_full | Higher-order Sudakov resummation in coupled gauge theories |
| title_fullStr | Higher-order Sudakov resummation in coupled gauge theories |
| title_full_unstemmed | Higher-order Sudakov resummation in coupled gauge theories |
| title_short | Higher-order Sudakov resummation in coupled gauge theories |
| title_sort | higher order sudakov resummation in coupled gauge theories |
| topic | Resummation Perturbative QCD Precision QED |
| url | http://link.springer.com/article/10.1007/JHEP03(2020)182 |
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