Glue-and-cut at five loops
Abstract We compute ε-expansions around 4 dimensions of a complete set of master integrals for momentum space five-loop massless propagator integrals in dimensional regularization, up to and including the first order with contributions of transcendental weight nine. Our method is the glue-and-cut te...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2021)098 |
| _version_ | 1819122582598713344 |
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| author | Alessandro Georgoudis Vasco Goncalves Erik Panzer Raul Pereira Alexander V. Smirnov Vladimir A. Smirnov |
| author_facet | Alessandro Georgoudis Vasco Goncalves Erik Panzer Raul Pereira Alexander V. Smirnov Vladimir A. Smirnov |
| author_sort | Alessandro Georgoudis |
| collection | DOAJ |
| description | Abstract We compute ε-expansions around 4 dimensions of a complete set of master integrals for momentum space five-loop massless propagator integrals in dimensional regularization, up to and including the first order with contributions of transcendental weight nine. Our method is the glue-and-cut technique from Baikov and Chetyrkin, which proves extremely effective in that it determines all expansion coefficients to this order in terms of recursively one-loop integrals and only one further integral. We observe that our results are compatible with conjectures that predict π-dependent contributions. |
| first_indexed | 2024-12-22T06:54:45Z |
| format | Article |
| id | doaj.art-bef537dd079241c09f8b670935de8ab1 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T06:54:45Z |
| publishDate | 2021-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-bef537dd079241c09f8b670935de8ab12022-12-21T18:35:00ZengSpringerOpenJournal of High Energy Physics1029-84792021-09-012021912010.1007/JHEP09(2021)098Glue-and-cut at five loopsAlessandro Georgoudis0Vasco Goncalves1Erik Panzer2Raul Pereira3Alexander V. Smirnov4Vladimir A. Smirnov5Laboratoire de physique de l’Ecole normale supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris-Diderot, Sorbonne Paris CitéCentro de Física do Porto e Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do PortoMathematical Institute, University of OxfordSchool of Mathematics and Hamilton Mathematics Institute, Trinity College DublinResearch Computing Center, Moscow State UniversityMoscow Center for Fundamental and Applied MathematicsAbstract We compute ε-expansions around 4 dimensions of a complete set of master integrals for momentum space five-loop massless propagator integrals in dimensional regularization, up to and including the first order with contributions of transcendental weight nine. Our method is the glue-and-cut technique from Baikov and Chetyrkin, which proves extremely effective in that it determines all expansion coefficients to this order in terms of recursively one-loop integrals and only one further integral. We observe that our results are compatible with conjectures that predict π-dependent contributions.https://doi.org/10.1007/JHEP09(2021)098Renormalization Regularization and RenormalonsScattering AmplitudesPerturbative QCD |
| spellingShingle | Alessandro Georgoudis Vasco Goncalves Erik Panzer Raul Pereira Alexander V. Smirnov Vladimir A. Smirnov Glue-and-cut at five loops Journal of High Energy Physics Renormalization Regularization and Renormalons Scattering Amplitudes Perturbative QCD |
| title | Glue-and-cut at five loops |
| title_full | Glue-and-cut at five loops |
| title_fullStr | Glue-and-cut at five loops |
| title_full_unstemmed | Glue-and-cut at five loops |
| title_short | Glue-and-cut at five loops |
| title_sort | glue and cut at five loops |
| topic | Renormalization Regularization and Renormalons Scattering Amplitudes Perturbative QCD |
| url | https://doi.org/10.1007/JHEP09(2021)098 |
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