The three-loop Adler D-function for N = 1 $$ \mathcal{N}=1 $$ SQCD regularized by dimensional reduction
Abstract The three-loop Adler D-function for N = 1 $$ \mathcal{N}=1 $$ SQCD in the D R ¯ $$ \overline{\mathrm{DR}} $$ scheme is calculated starting from the three-loop result recently obtained with the higher covariant derivative regularization. For this purpose, for the theory regularized by higher...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2019)196 |
| _version_ | 1818285217683603456 |
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| author | S. S. Aleshin A. L. Kataev K. V. Stepanyantz |
| author_facet | S. S. Aleshin A. L. Kataev K. V. Stepanyantz |
| author_sort | S. S. Aleshin |
| collection | DOAJ |
| description | Abstract The three-loop Adler D-function for N = 1 $$ \mathcal{N}=1 $$ SQCD in the D R ¯ $$ \overline{\mathrm{DR}} $$ scheme is calculated starting from the three-loop result recently obtained with the higher covariant derivative regularization. For this purpose, for the theory regularized by higher derivatives we find a subtraction scheme in which the Green functions coincide with the ones obtained with the dimensional reduction and the modified minimal subtraction prescription for the renormalization of the SQCD coupling constant and of the matter superfields. Also we calculate the D-function in the D R ¯ $$ \overline{\mathrm{DR}} $$ scheme for all renormalization constants (including the one for the electromagnetic coupling constant which appears due to the SQCD corrections). It is shown that the results do not satisfy the NSVZ-like equation relating the D-function to the anomalous dimension of the matter superfields. However, the NSVZ-like scheme can be constructed with the help of a properly tuned finite renormalization. It is also demonstrated that the three-loop D-function defined in terms of the bare couplings with the dimensional reduction does not satisfy the NSVZ-like equation for an arbitrary renormalization prescription. We also investigate a possibility to present the results in the form of the β-expansion and the scheme dependence of this expansion. |
| first_indexed | 2024-12-13T01:05:11Z |
| format | Article |
| id | doaj.art-6d2c73a11d8744ba8ed84f8263cd83aa |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T01:05:11Z |
| publishDate | 2019-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-6d2c73a11d8744ba8ed84f8263cd83aa2022-12-22T00:04:34ZengSpringerOpenJournal of High Energy Physics1029-84792019-03-012019312910.1007/JHEP03(2019)196The three-loop Adler D-function for N = 1 $$ \mathcal{N}=1 $$ SQCD regularized by dimensional reductionS. S. Aleshin0A. L. Kataev1K. V. Stepanyantz2Department of Quantum Physics, Institute for Information Transmission Problems of the Russian Academy of SciencesDepartment of Theoretical Physics, Institute for Nuclear Research of the Russian Academy of SciencesDepartment of Theoretical Physics, Faculty of Physics, Moscow State UniversityAbstract The three-loop Adler D-function for N = 1 $$ \mathcal{N}=1 $$ SQCD in the D R ¯ $$ \overline{\mathrm{DR}} $$ scheme is calculated starting from the three-loop result recently obtained with the higher covariant derivative regularization. For this purpose, for the theory regularized by higher derivatives we find a subtraction scheme in which the Green functions coincide with the ones obtained with the dimensional reduction and the modified minimal subtraction prescription for the renormalization of the SQCD coupling constant and of the matter superfields. Also we calculate the D-function in the D R ¯ $$ \overline{\mathrm{DR}} $$ scheme for all renormalization constants (including the one for the electromagnetic coupling constant which appears due to the SQCD corrections). It is shown that the results do not satisfy the NSVZ-like equation relating the D-function to the anomalous dimension of the matter superfields. However, the NSVZ-like scheme can be constructed with the help of a properly tuned finite renormalization. It is also demonstrated that the three-loop D-function defined in terms of the bare couplings with the dimensional reduction does not satisfy the NSVZ-like equation for an arbitrary renormalization prescription. We also investigate a possibility to present the results in the form of the β-expansion and the scheme dependence of this expansion.http://link.springer.com/article/10.1007/JHEP03(2019)196Renormalization GroupRenormalization Regularization and RenormalonsSupersymmetric Gauge Theory |
| spellingShingle | S. S. Aleshin A. L. Kataev K. V. Stepanyantz The three-loop Adler D-function for N = 1 $$ \mathcal{N}=1 $$ SQCD regularized by dimensional reduction Journal of High Energy Physics Renormalization Group Renormalization Regularization and Renormalons Supersymmetric Gauge Theory |
| title | The three-loop Adler D-function for N = 1 $$ \mathcal{N}=1 $$ SQCD regularized by dimensional reduction |
| title_full | The three-loop Adler D-function for N = 1 $$ \mathcal{N}=1 $$ SQCD regularized by dimensional reduction |
| title_fullStr | The three-loop Adler D-function for N = 1 $$ \mathcal{N}=1 $$ SQCD regularized by dimensional reduction |
| title_full_unstemmed | The three-loop Adler D-function for N = 1 $$ \mathcal{N}=1 $$ SQCD regularized by dimensional reduction |
| title_short | The three-loop Adler D-function for N = 1 $$ \mathcal{N}=1 $$ SQCD regularized by dimensional reduction |
| title_sort | three loop adler d function for n 1 mathcal n 1 sqcd regularized by dimensional reduction |
| topic | Renormalization Group Renormalization Regularization and Renormalons Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP03(2019)196 |
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