Local form factor subtraction for three-loop QCD corrections to electroweak production in quark-antiquark annihilation
Abstract We extend a local subtraction framework to three-loop QCD corrections for the production of multiple electroweak bosons in quark-antiquark annihilation. We derive two-loop Ward identities that ensure the factorisation of most collinear singularities from the hard-scattering process in the s...
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)257 |
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| author | Rayan Haindl |
| author_facet | Rayan Haindl |
| author_sort | Rayan Haindl |
| collection | DOAJ |
| description | Abstract We extend a local subtraction framework to three-loop QCD corrections for the production of multiple electroweak bosons in quark-antiquark annihilation. We derive two-loop Ward identities that ensure the factorisation of most collinear singularities from the hard-scattering process in the sum over integrands. Infrared and ultraviolet singularities are removed point-by-point in loop momentum space using a minimal set of counterterms, which can be integrated analytically in terms of known master integrals. Additional counterterms eliminate non-factorising terms arising from loop momentum shifts and one-loop corrections to the gluon three-point function. We identify previously unknown non-factorising loop polarisation effects in the single-collinear regions, which pose challenges for local integrability and require further investigation. The techniques presented here are a first crucial step in formulating a systematic approach for constructing finite integrands for general electroweak amplitudes at three-loop order. |
| format | Article |
| id | doaj-art-781aec0babcc4ecc9fb25c58e81cb3d5 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-781aec0babcc4ecc9fb25c58e81cb3d52025-08-20T03:42:34ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-0120256110810.1007/JHEP06(2025)257Local form factor subtraction for three-loop QCD corrections to electroweak production in quark-antiquark annihilationRayan Haindl0Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT)Abstract We extend a local subtraction framework to three-loop QCD corrections for the production of multiple electroweak bosons in quark-antiquark annihilation. We derive two-loop Ward identities that ensure the factorisation of most collinear singularities from the hard-scattering process in the sum over integrands. Infrared and ultraviolet singularities are removed point-by-point in loop momentum space using a minimal set of counterterms, which can be integrated analytically in terms of known master integrals. Additional counterterms eliminate non-factorising terms arising from loop momentum shifts and one-loop corrections to the gluon three-point function. We identify previously unknown non-factorising loop polarisation effects in the single-collinear regions, which pose challenges for local integrability and require further investigation. The techniques presented here are a first crucial step in formulating a systematic approach for constructing finite integrands for general electroweak amplitudes at three-loop order.https://doi.org/10.1007/JHEP06(2025)257FactorizationRenormalization GroupHigher-Order Perturbative CalculationsScattering Amplitudes |
| spellingShingle | Rayan Haindl Local form factor subtraction for three-loop QCD corrections to electroweak production in quark-antiquark annihilation Journal of High Energy Physics Factorization Renormalization Group Higher-Order Perturbative Calculations Scattering Amplitudes |
| title | Local form factor subtraction for three-loop QCD corrections to electroweak production in quark-antiquark annihilation |
| title_full | Local form factor subtraction for three-loop QCD corrections to electroweak production in quark-antiquark annihilation |
| title_fullStr | Local form factor subtraction for three-loop QCD corrections to electroweak production in quark-antiquark annihilation |
| title_full_unstemmed | Local form factor subtraction for three-loop QCD corrections to electroweak production in quark-antiquark annihilation |
| title_short | Local form factor subtraction for three-loop QCD corrections to electroweak production in quark-antiquark annihilation |
| title_sort | local form factor subtraction for three loop qcd corrections to electroweak production in quark antiquark annihilation |
| topic | Factorization Renormalization Group Higher-Order Perturbative Calculations Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP06(2025)257 |
| work_keys_str_mv | AT rayanhaindl localformfactorsubtractionforthreeloopqcdcorrectionstoelectroweakproductioninquarkantiquarkannihilation |