Splitting amplitudes at N3LO in QCD
Abstract In the limit where partons become collinear to each other, scattering amplitudes factorize into a product of universal, process-independent building blocks and scattering amplitudes involving fewer partons. We compute these universal building blocks — known as splitting amplitudes — for two...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)090 |
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| _version_ | 1823863477108736000 |
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| author | Xin Guan Franz Herzog Yao Ma Bernhard Mistlberger Adi Suresh |
| author_facet | Xin Guan Franz Herzog Yao Ma Bernhard Mistlberger Adi Suresh |
| author_sort | Xin Guan |
| collection | DOAJ |
| description | Abstract In the limit where partons become collinear to each other, scattering amplitudes factorize into a product of universal, process-independent building blocks and scattering amplitudes involving fewer partons. We compute these universal building blocks — known as splitting amplitudes — for two collinear QCD partons up to third loop order in QCD. Our results describe arbitrary time-like splitting processes. Due to the violation of strict collinear factorization in space-like splitting processes, we specifically present space-like splitting amplitudes for three-parton QCD scattering amplitudes at third loop order. To achieve our results, we perform a collinear expansion of three-loop scattering amplitudes using a new expansion-by-subgraph technology, which is based on the method of regions. |
| format | Article |
| id | doaj-art-a041995da67c4571aa643a2e10cda1b1 |
| 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-a041995da67c4571aa643a2e10cda1b12025-02-09T12:08:12ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112510.1007/JHEP01(2025)090Splitting amplitudes at N3LO in QCDXin Guan0Franz Herzog1Yao Ma2Bernhard Mistlberger3Adi Suresh4SLAC National Accelerator Laboratory, Stanford UniversityHiggs Centre for Theoretical Physics, School of Physics and Astronomy, The University of EdinburghInstitute for Theoretical Physics, ETH ZürichSLAC National Accelerator Laboratory, Stanford UniversitySLAC National Accelerator Laboratory, Stanford UniversityAbstract In the limit where partons become collinear to each other, scattering amplitudes factorize into a product of universal, process-independent building blocks and scattering amplitudes involving fewer partons. We compute these universal building blocks — known as splitting amplitudes — for two collinear QCD partons up to third loop order in QCD. Our results describe arbitrary time-like splitting processes. Due to the violation of strict collinear factorization in space-like splitting processes, we specifically present space-like splitting amplitudes for three-parton QCD scattering amplitudes at third loop order. To achieve our results, we perform a collinear expansion of three-loop scattering amplitudes using a new expansion-by-subgraph technology, which is based on the method of regions.https://doi.org/10.1007/JHEP01(2025)090FactorizationRenormalization GroupHigher-Order Perturbative Calculations |
| spellingShingle | Xin Guan Franz Herzog Yao Ma Bernhard Mistlberger Adi Suresh Splitting amplitudes at N3LO in QCD Journal of High Energy Physics Factorization Renormalization Group Higher-Order Perturbative Calculations |
| title | Splitting amplitudes at N3LO in QCD |
| title_full | Splitting amplitudes at N3LO in QCD |
| title_fullStr | Splitting amplitudes at N3LO in QCD |
| title_full_unstemmed | Splitting amplitudes at N3LO in QCD |
| title_short | Splitting amplitudes at N3LO in QCD |
| title_sort | splitting amplitudes at n3lo in qcd |
| topic | Factorization Renormalization Group Higher-Order Perturbative Calculations |
| url | https://doi.org/10.1007/JHEP01(2025)090 |
| work_keys_str_mv | AT xinguan splittingamplitudesatn3loinqcd AT franzherzog splittingamplitudesatn3loinqcd AT yaoma splittingamplitudesatn3loinqcd AT bernhardmistlberger splittingamplitudesatn3loinqcd AT adisuresh splittingamplitudesatn3loinqcd |