Three-loop β-functions and two-loop anomalous dimensions for MSSM regularized by higher covariant derivatives in an arbitrary supersymmetric subtraction scheme
Abstract Three-loop β-functions of the Minimal Supersymmetric Standard Model regularized by higher covariant derivatives are obtained for an arbitrary supersymmetric subtraction scheme. For this purpose we first calculate two-loop anomalous dimensions for all MSSM chiral matter superfields defined i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)189 |
| _version_ | 1811181356768559104 |
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| author | O. V. Haneychuk V. Yu. Shirokova K. V. Stepanyantz |
| author_facet | O. V. Haneychuk V. Yu. Shirokova K. V. Stepanyantz |
| author_sort | O. V. Haneychuk |
| collection | DOAJ |
| description | Abstract Three-loop β-functions of the Minimal Supersymmetric Standard Model regularized by higher covariant derivatives are obtained for an arbitrary supersymmetric subtraction scheme. For this purpose we first calculate two-loop anomalous dimensions for all MSSM chiral matter superfields defined in terms of the bare couplings. Then we use the NSVZ equations for the renormalization group functions defined in terms of the bare couplings, which are valid in all orders in the case of using the higher covariant derivative regularization. This gives the three-loop β-functions defined in terms of the bare couplings. After that, we construct the three-loop β-functions and the two-loop anomalous dimensions standardly defined in terms of the renormalized couplings for an arbitrary subtraction scheme. As a nontrivial correctness test, we verify that for a certain renormalization prescription the general results reproduce the ones obtained earlier in the DR ¯ $$ \overline{\mathrm{DR}} $$ scheme. Also this can be considered as an indepedent confirmation of the DR ¯ $$ \overline{\mathrm{DR}} $$ results. |
| first_indexed | 2024-04-11T09:15:23Z |
| format | Article |
| id | doaj.art-d50d2669ddf14c3497fbecb6998faa2f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T09:15:23Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d50d2669ddf14c3497fbecb6998faa2f2022-12-22T04:32:21ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022913310.1007/JHEP09(2022)189Three-loop β-functions and two-loop anomalous dimensions for MSSM regularized by higher covariant derivatives in an arbitrary supersymmetric subtraction schemeO. V. Haneychuk0V. Yu. Shirokova1K. V. Stepanyantz2Department of Theoretical Physics, Faculty of Physics, Moscow State UniversityDepartment of Theoretical Physics, Faculty of Physics, Moscow State UniversityDepartment of Theoretical Physics, Faculty of Physics, Moscow State UniversityAbstract Three-loop β-functions of the Minimal Supersymmetric Standard Model regularized by higher covariant derivatives are obtained for an arbitrary supersymmetric subtraction scheme. For this purpose we first calculate two-loop anomalous dimensions for all MSSM chiral matter superfields defined in terms of the bare couplings. Then we use the NSVZ equations for the renormalization group functions defined in terms of the bare couplings, which are valid in all orders in the case of using the higher covariant derivative regularization. This gives the three-loop β-functions defined in terms of the bare couplings. After that, we construct the three-loop β-functions and the two-loop anomalous dimensions standardly defined in terms of the renormalized couplings for an arbitrary subtraction scheme. As a nontrivial correctness test, we verify that for a certain renormalization prescription the general results reproduce the ones obtained earlier in the DR ¯ $$ \overline{\mathrm{DR}} $$ scheme. Also this can be considered as an indepedent confirmation of the DR ¯ $$ \overline{\mathrm{DR}} $$ results.https://doi.org/10.1007/JHEP09(2022)189Renormalization and RegularizationSupersymmetric Gauge TheorySupersymmetry |
| spellingShingle | O. V. Haneychuk V. Yu. Shirokova K. V. Stepanyantz Three-loop β-functions and two-loop anomalous dimensions for MSSM regularized by higher covariant derivatives in an arbitrary supersymmetric subtraction scheme Journal of High Energy Physics Renormalization and Regularization Supersymmetric Gauge Theory Supersymmetry |
| title | Three-loop β-functions and two-loop anomalous dimensions for MSSM regularized by higher covariant derivatives in an arbitrary supersymmetric subtraction scheme |
| title_full | Three-loop β-functions and two-loop anomalous dimensions for MSSM regularized by higher covariant derivatives in an arbitrary supersymmetric subtraction scheme |
| title_fullStr | Three-loop β-functions and two-loop anomalous dimensions for MSSM regularized by higher covariant derivatives in an arbitrary supersymmetric subtraction scheme |
| title_full_unstemmed | Three-loop β-functions and two-loop anomalous dimensions for MSSM regularized by higher covariant derivatives in an arbitrary supersymmetric subtraction scheme |
| title_short | Three-loop β-functions and two-loop anomalous dimensions for MSSM regularized by higher covariant derivatives in an arbitrary supersymmetric subtraction scheme |
| title_sort | three loop β functions and two loop anomalous dimensions for mssm regularized by higher covariant derivatives in an arbitrary supersymmetric subtraction scheme |
| topic | Renormalization and Regularization Supersymmetric Gauge Theory Supersymmetry |
| url | https://doi.org/10.1007/JHEP09(2022)189 |
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