Locally finite two-loop amplitudes for electroweak production through gluon fusion
Abstract The computation of two-loop amplitudes for the production of multiple Higgs and electroweak gauge bosons via gluon fusion with exact dependence on quark masses relies primarily on numerical methods. We propose a framework that enables their numerical evaluation in momentum space. The method...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-11-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP11(2024)043 |
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| author | Charalampos Anastasiou Julia Karlen George Sterman Aniruddha Venkata |
| author_facet | Charalampos Anastasiou Julia Karlen George Sterman Aniruddha Venkata |
| author_sort | Charalampos Anastasiou |
| collection | DOAJ |
| description | Abstract The computation of two-loop amplitudes for the production of multiple Higgs and electroweak gauge bosons via gluon fusion with exact dependence on quark masses relies primarily on numerical methods. We propose a framework that enables their numerical evaluation in momentum space. The method is inspired by the factorization of infrared divergences in QCD scattering amplitudes. It extends techniques introduced for electroweak gauge boson production from quark-antiquark annihilation to processes with external gluons. By combining diagrammatic integrands, we make use of local cancellations between diagrams that automatically eliminate most non-factoring infrared singularities. With a limited number of counterterms, we then derive two-loop integrands for which all soft and collinear singularities factorize locally. We hope that the local subtraction techniques presented in this article will play a useful role in extending the local factorization formalism to two-loop amplitudes for arbitrary processes. |
| format | Article |
| id | doaj-art-4180082b70c642df9aec00cebdb173dc |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-4180082b70c642df9aec00cebdb173dc2024-12-08T12:08:01ZengSpringerOpenJournal of High Energy Physics1029-84792024-11-0120241114810.1007/JHEP11(2024)043Locally finite two-loop amplitudes for electroweak production through gluon fusionCharalampos Anastasiou0Julia Karlen1George Sterman2Aniruddha Venkata3Institute for Theoretical Physics, ETH ZurichInstitute for Theoretical Physics, ETH ZurichC.N. Yang Institute for Theoretical Physics and Department of Physics and Astronomy, Stony Brook UniversityC.N. Yang Institute for Theoretical Physics and Department of Physics and Astronomy, Stony Brook UniversityAbstract The computation of two-loop amplitudes for the production of multiple Higgs and electroweak gauge bosons via gluon fusion with exact dependence on quark masses relies primarily on numerical methods. We propose a framework that enables their numerical evaluation in momentum space. The method is inspired by the factorization of infrared divergences in QCD scattering amplitudes. It extends techniques introduced for electroweak gauge boson production from quark-antiquark annihilation to processes with external gluons. By combining diagrammatic integrands, we make use of local cancellations between diagrams that automatically eliminate most non-factoring infrared singularities. With a limited number of counterterms, we then derive two-loop integrands for which all soft and collinear singularities factorize locally. We hope that the local subtraction techniques presented in this article will play a useful role in extending the local factorization formalism to two-loop amplitudes for arbitrary processes.https://doi.org/10.1007/JHEP11(2024)043FactorizationRenormalization GroupHigher-Order Perturbative Calculations |
| spellingShingle | Charalampos Anastasiou Julia Karlen George Sterman Aniruddha Venkata Locally finite two-loop amplitudes for electroweak production through gluon fusion Journal of High Energy Physics Factorization Renormalization Group Higher-Order Perturbative Calculations |
| title | Locally finite two-loop amplitudes for electroweak production through gluon fusion |
| title_full | Locally finite two-loop amplitudes for electroweak production through gluon fusion |
| title_fullStr | Locally finite two-loop amplitudes for electroweak production through gluon fusion |
| title_full_unstemmed | Locally finite two-loop amplitudes for electroweak production through gluon fusion |
| title_short | Locally finite two-loop amplitudes for electroweak production through gluon fusion |
| title_sort | locally finite two loop amplitudes for electroweak production through gluon fusion |
| topic | Factorization Renormalization Group Higher-Order Perturbative Calculations |
| url | https://doi.org/10.1007/JHEP11(2024)043 |
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