Unitarity bounds and basis transformations in SMEFT: An analysis of Warsaw and SILH bases
The equivalence between the Warsaw and SILH bases in Standard Model Effective Field Theory is well established, with transformation rules connecting the two via equations of motion and field redefinitions. This study presents an explicit calculation of the analytical unitarity bounds—defined as the...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S055032132400347X |
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| author | Qing-Hong Cao Yandong Liu Shu-Run Yuan |
| author_facet | Qing-Hong Cao Yandong Liu Shu-Run Yuan |
| author_sort | Qing-Hong Cao |
| collection | DOAJ |
| description | The equivalence between the Warsaw and SILH bases in Standard Model Effective Field Theory is well established, with transformation rules connecting the two via equations of motion and field redefinitions. This study presents an explicit calculation of the analytical unitarity bounds—defined as the marginal limit of the parameter space—for dimension-six operators within both the Warsaw and SILH bases. We employ a coupled channel analysis to scrutinize scattering processes involving vector bosons and fermions. We conduct a comprehensive investigation into the transformation of unitarity bounds under changes in the operator basis. Our findings demonstrate that the transformation rules, as implicated by the equivalence theorem, can be directly applied to convert unitarity bounds from one basis to another, provided that the operators involved in the transformation rules do not belong to the same subset defined by a block in the coupled channel matrix. |
| format | Article |
| id | doaj-art-448c7712ba794ddf8bb11b3fb13924b6 |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-448c7712ba794ddf8bb11b3fb13924b62025-01-10T04:37:52ZengElsevierNuclear Physics B0550-32132025-01-011010116781Unitarity bounds and basis transformations in SMEFT: An analysis of Warsaw and SILH basesQing-Hong Cao0Yandong Liu1Shu-Run Yuan2School of Physics, Peking University, Beijing 100871, China; Center for High Energy Physics, Peking University, Beijing 100871, ChinaKey Laboratory of Beam Technology of Ministry of Education, School of Physics and Astronomy, Beijing Normal University, Beijing, 100875, China; Institute of Radiation Technology, Beijing Academy of Science and Technology, Beijing 100875, China; Corresponding author at: School of Physics and Astronomy, Beijing Normal University, Beijing 100875, China.School of Physics, Peking University, Beijing 100871, ChinaThe equivalence between the Warsaw and SILH bases in Standard Model Effective Field Theory is well established, with transformation rules connecting the two via equations of motion and field redefinitions. This study presents an explicit calculation of the analytical unitarity bounds—defined as the marginal limit of the parameter space—for dimension-six operators within both the Warsaw and SILH bases. We employ a coupled channel analysis to scrutinize scattering processes involving vector bosons and fermions. We conduct a comprehensive investigation into the transformation of unitarity bounds under changes in the operator basis. Our findings demonstrate that the transformation rules, as implicated by the equivalence theorem, can be directly applied to convert unitarity bounds from one basis to another, provided that the operators involved in the transformation rules do not belong to the same subset defined by a block in the coupled channel matrix.http://www.sciencedirect.com/science/article/pii/S055032132400347X |
| spellingShingle | Qing-Hong Cao Yandong Liu Shu-Run Yuan Unitarity bounds and basis transformations in SMEFT: An analysis of Warsaw and SILH bases Nuclear Physics B |
| title | Unitarity bounds and basis transformations in SMEFT: An analysis of Warsaw and SILH bases |
| title_full | Unitarity bounds and basis transformations in SMEFT: An analysis of Warsaw and SILH bases |
| title_fullStr | Unitarity bounds and basis transformations in SMEFT: An analysis of Warsaw and SILH bases |
| title_full_unstemmed | Unitarity bounds and basis transformations in SMEFT: An analysis of Warsaw and SILH bases |
| title_short | Unitarity bounds and basis transformations in SMEFT: An analysis of Warsaw and SILH bases |
| title_sort | unitarity bounds and basis transformations in smeft an analysis of warsaw and silh bases |
| url | http://www.sciencedirect.com/science/article/pii/S055032132400347X |
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