Exact SMEFT formulation and expansion to O $$ \mathcal{O} $$ (v 4/Λ4)
Abstract The Standard Model Effective Field Theory (SMEFT) theoretical framework is increasingly used to interpret particle physics measurements and constrain physics beyond the Standard Model. We investigate the truncation of the effective-operator expansion using the geometric formulation of the S...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2020)087 |
| _version_ | 1819097392153100288 |
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| author | Chris Hays Andreas Helset Adam Martin Michael Trott |
| author_facet | Chris Hays Andreas Helset Adam Martin Michael Trott |
| author_sort | Chris Hays |
| collection | DOAJ |
| description | Abstract The Standard Model Effective Field Theory (SMEFT) theoretical framework is increasingly used to interpret particle physics measurements and constrain physics beyond the Standard Model. We investigate the truncation of the effective-operator expansion using the geometric formulation of the SMEFT, which allows exact solutions, up to mass-dimension eight. Using this construction, we compare the exact solution to the expansion at O $$ \mathcal{O} $$ (v 2 /Λ2), partial O $$ \mathcal{O} $$ (v 4 /Λ4) using a subset of terms with dimension-6 operators, and full O $$ \mathcal{O} $$ (v 4 /Λ4), where v is the vacuum expectation value and Λ is the scale of new physics. This comparison is performed for general values of the coefficients, and for the specific model of a heavy U(1) gauge field kinetically mixed with the Standard Model. We additionally determine the input-parameter scheme dependence at all orders in v/Λ, and show that this dependence increases at higher orders in v/Λ. |
| first_indexed | 2024-12-22T00:14:21Z |
| format | Article |
| id | doaj.art-5b616112971a4197bed732058e40eecd |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T00:14:21Z |
| publishDate | 2020-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5b616112971a4197bed732058e40eecd2022-12-21T18:45:21ZengSpringerOpenJournal of High Energy Physics1029-84792020-11-0120201114710.1007/JHEP11(2020)087Exact SMEFT formulation and expansion to O $$ \mathcal{O} $$ (v 4/Λ4)Chris Hays0Andreas Helset1Adam Martin2Michael Trott3Department of Physics, Oxford UniversityNiels Bohr Institute, University of CopenhagenDepartment of Physics, University of Notre DameNiels Bohr Institute, University of CopenhagenAbstract The Standard Model Effective Field Theory (SMEFT) theoretical framework is increasingly used to interpret particle physics measurements and constrain physics beyond the Standard Model. We investigate the truncation of the effective-operator expansion using the geometric formulation of the SMEFT, which allows exact solutions, up to mass-dimension eight. Using this construction, we compare the exact solution to the expansion at O $$ \mathcal{O} $$ (v 2 /Λ2), partial O $$ \mathcal{O} $$ (v 4 /Λ4) using a subset of terms with dimension-6 operators, and full O $$ \mathcal{O} $$ (v 4 /Λ4), where v is the vacuum expectation value and Λ is the scale of new physics. This comparison is performed for general values of the coefficients, and for the specific model of a heavy U(1) gauge field kinetically mixed with the Standard Model. We additionally determine the input-parameter scheme dependence at all orders in v/Λ, and show that this dependence increases at higher orders in v/Λ.http://link.springer.com/article/10.1007/JHEP11(2020)087Beyond Standard ModelEffective Field Theories |
| spellingShingle | Chris Hays Andreas Helset Adam Martin Michael Trott Exact SMEFT formulation and expansion to O $$ \mathcal{O} $$ (v 4/Λ4) Journal of High Energy Physics Beyond Standard Model Effective Field Theories |
| title | Exact SMEFT formulation and expansion to O $$ \mathcal{O} $$ (v 4/Λ4) |
| title_full | Exact SMEFT formulation and expansion to O $$ \mathcal{O} $$ (v 4/Λ4) |
| title_fullStr | Exact SMEFT formulation and expansion to O $$ \mathcal{O} $$ (v 4/Λ4) |
| title_full_unstemmed | Exact SMEFT formulation and expansion to O $$ \mathcal{O} $$ (v 4/Λ4) |
| title_short | Exact SMEFT formulation and expansion to O $$ \mathcal{O} $$ (v 4/Λ4) |
| title_sort | exact smeft formulation and expansion to o mathcal o v 4 λ4 |
| topic | Beyond Standard Model Effective Field Theories |
| url | http://link.springer.com/article/10.1007/JHEP11(2020)087 |
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