Three-loop ladder diagrams with two off-shell legs
Abstract We present an analytic calculation of three-loop four-point Feynman integrals with two off-shell legs of equal mass. We provide solutions to the canonical differential equations of two integral families in both Euclidean and physical regions. They are validated numerically against independe...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2025)018 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832595069176119296 |
|---|---|
| author | Ming-Ming Long |
| author_facet | Ming-Ming Long |
| author_sort | Ming-Ming Long |
| collection | DOAJ |
| description | Abstract We present an analytic calculation of three-loop four-point Feynman integrals with two off-shell legs of equal mass. We provide solutions to the canonical differential equations of two integral families in both Euclidean and physical regions. They are validated numerically against independent computations. A total of 170 master integrals are expressed in terms of multiple polylogarithms up to weight six. Most of them are computed for the first time. Our results are essential ingredients of the scattering amplitudes for equal-mass diboson production at next-to-next-to-next-to-leading-order QCD at the LHC. |
| format | Article |
| id | doaj-art-bb302c5520a94290b05bbdb113c8b10b |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-bb302c5520a94290b05bbdb113c8b10b2025-01-19T12:07:04ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112710.1007/JHEP01(2025)018Three-loop ladder diagrams with two off-shell legsMing-Ming Long0Institute for Theoretical Particle Physics, KITAbstract We present an analytic calculation of three-loop four-point Feynman integrals with two off-shell legs of equal mass. We provide solutions to the canonical differential equations of two integral families in both Euclidean and physical regions. They are validated numerically against independent computations. A total of 170 master integrals are expressed in terms of multiple polylogarithms up to weight six. Most of them are computed for the first time. Our results are essential ingredients of the scattering amplitudes for equal-mass diboson production at next-to-next-to-next-to-leading-order QCD at the LHC.https://doi.org/10.1007/JHEP01(2025)018Higher-Order Perturbative CalculationsSpecific QCD Phenomenology |
| spellingShingle | Ming-Ming Long Three-loop ladder diagrams with two off-shell legs Journal of High Energy Physics Higher-Order Perturbative Calculations Specific QCD Phenomenology |
| title | Three-loop ladder diagrams with two off-shell legs |
| title_full | Three-loop ladder diagrams with two off-shell legs |
| title_fullStr | Three-loop ladder diagrams with two off-shell legs |
| title_full_unstemmed | Three-loop ladder diagrams with two off-shell legs |
| title_short | Three-loop ladder diagrams with two off-shell legs |
| title_sort | three loop ladder diagrams with two off shell legs |
| topic | Higher-Order Perturbative Calculations Specific QCD Phenomenology |
| url | https://doi.org/10.1007/JHEP01(2025)018 |
| work_keys_str_mv | AT mingminglong threeloopladderdiagramswithtwooffshelllegs |