Fermion geometry and the renormalization of the Standard Model Effective Field Theory
Abstract The geometry of field space governs on-shell scattering amplitudes. We formulate a geometric description of effective field theories which extends previous results for scalars and gauge fields to fermions. The field-space geometry reorganizes and simplifies the computation of quantum loop c...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2023)201 |
| _version_ | 1797199697295704064 |
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| author | Benoît Assi Andreas Helset Aneesh V. Manohar Julie Pagès Chia-Hsien Shen |
| author_facet | Benoît Assi Andreas Helset Aneesh V. Manohar Julie Pagès Chia-Hsien Shen |
| author_sort | Benoît Assi |
| collection | DOAJ |
| description | Abstract The geometry of field space governs on-shell scattering amplitudes. We formulate a geometric description of effective field theories which extends previous results for scalars and gauge fields to fermions. The field-space geometry reorganizes and simplifies the computation of quantum loop corrections. Using this geometric framework, we calculate the fermion loop contributions to the renormalization group equations for bosonic operators in the Standard Model Effective Field Theory up to mass dimension eight. |
| first_indexed | 2024-03-09T06:02:33Z |
| format | Article |
| id | doaj.art-aa080eb0f51e41f79fa1076abbb5d6c7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:19:52Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-aa080eb0f51e41f79fa1076abbb5d6c72024-04-21T11:05:24ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231113110.1007/JHEP11(2023)201Fermion geometry and the renormalization of the Standard Model Effective Field TheoryBenoît Assi0Andreas Helset1Aneesh V. Manohar2Julie Pagès3Chia-Hsien Shen4Fermi National Accelerator LaboratoryWalter Burke Institute for Theoretical Physics, California Institute of TechnologyPhysics Department, University of California San DiegoPhysics Department, University of California San DiegoPhysics Department, University of California San DiegoAbstract The geometry of field space governs on-shell scattering amplitudes. We formulate a geometric description of effective field theories which extends previous results for scalars and gauge fields to fermions. The field-space geometry reorganizes and simplifies the computation of quantum loop corrections. Using this geometric framework, we calculate the fermion loop contributions to the renormalization group equations for bosonic operators in the Standard Model Effective Field Theory up to mass dimension eight.https://doi.org/10.1007/JHEP11(2023)201Effective Field TheoriesSMEFTDifferential and Algebraic GeometryRenormalization Group |
| spellingShingle | Benoît Assi Andreas Helset Aneesh V. Manohar Julie Pagès Chia-Hsien Shen Fermion geometry and the renormalization of the Standard Model Effective Field Theory Journal of High Energy Physics Effective Field Theories SMEFT Differential and Algebraic Geometry Renormalization Group |
| title | Fermion geometry and the renormalization of the Standard Model Effective Field Theory |
| title_full | Fermion geometry and the renormalization of the Standard Model Effective Field Theory |
| title_fullStr | Fermion geometry and the renormalization of the Standard Model Effective Field Theory |
| title_full_unstemmed | Fermion geometry and the renormalization of the Standard Model Effective Field Theory |
| title_short | Fermion geometry and the renormalization of the Standard Model Effective Field Theory |
| title_sort | fermion geometry and the renormalization of the standard model effective field theory |
| topic | Effective Field Theories SMEFT Differential and Algebraic Geometry Renormalization Group |
| url | https://doi.org/10.1007/JHEP11(2023)201 |
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