Resummation methods for Master Integrals
Abstract We present in detail two resummation methods emerging from the application of the Simplified Differential Equations approach to a canonical basis of master integrals. The first one is a method which allows for an easy determination of the boundary conditions, since it finds relations betwee...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2021)080 |
| _version_ | 1818408670626578432 |
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| author | Dhimiter D. Canko Nikolaos Syrrakos |
| author_facet | Dhimiter D. Canko Nikolaos Syrrakos |
| author_sort | Dhimiter D. Canko |
| collection | DOAJ |
| description | Abstract We present in detail two resummation methods emerging from the application of the Simplified Differential Equations approach to a canonical basis of master integrals. The first one is a method which allows for an easy determination of the boundary conditions, since it finds relations between the boundaries of the basis elements and the second one indicates how using the x → 1 limit to the solutions of a canonical basis, one can obtain the solutions to a canonical basis for the same problem with one mass less. Both methods utilise the residue matrices for the letters {0, 1} of the canonical differential equation. As proof of concept, we apply these methods to a canonical basis for the three-loop ladder-box with one external mass off-shell, obtaining subsequently a canonical basis for the massless three-loop ladder-box as well as its solution. |
| first_indexed | 2024-12-14T09:47:25Z |
| format | Article |
| id | doaj.art-ab02252d456d4bc89f4a8117420e1f61 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T09:47:25Z |
| publishDate | 2021-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ab02252d456d4bc89f4a8117420e1f612022-12-21T23:07:36ZengSpringerOpenJournal of High Energy Physics1029-84792021-02-012021212110.1007/JHEP02(2021)080Resummation methods for Master IntegralsDhimiter D. Canko0Nikolaos Syrrakos1Institute of Nuclear and Particle Physics, NCSR “Demokritos”Institute of Nuclear and Particle Physics, NCSR “Demokritos”Abstract We present in detail two resummation methods emerging from the application of the Simplified Differential Equations approach to a canonical basis of master integrals. The first one is a method which allows for an easy determination of the boundary conditions, since it finds relations between the boundaries of the basis elements and the second one indicates how using the x → 1 limit to the solutions of a canonical basis, one can obtain the solutions to a canonical basis for the same problem with one mass less. Both methods utilise the residue matrices for the letters {0, 1} of the canonical differential equation. As proof of concept, we apply these methods to a canonical basis for the three-loop ladder-box with one external mass off-shell, obtaining subsequently a canonical basis for the massless three-loop ladder-box as well as its solution.https://doi.org/10.1007/JHEP02(2021)080NLO ComputationsQCD Phenomenology |
| spellingShingle | Dhimiter D. Canko Nikolaos Syrrakos Resummation methods for Master Integrals Journal of High Energy Physics NLO Computations QCD Phenomenology |
| title | Resummation methods for Master Integrals |
| title_full | Resummation methods for Master Integrals |
| title_fullStr | Resummation methods for Master Integrals |
| title_full_unstemmed | Resummation methods for Master Integrals |
| title_short | Resummation methods for Master Integrals |
| title_sort | resummation methods for master integrals |
| topic | NLO Computations QCD Phenomenology |
| url | https://doi.org/10.1007/JHEP02(2021)080 |
| work_keys_str_mv | AT dhimiterdcanko resummationmethodsformasterintegrals AT nikolaossyrrakos resummationmethodsformasterintegrals |