The Adler D-function for N=1 SQCD regularized by higher covariant derivatives in the three-loop approximation
We calculate the Adler D-function for N=1 SQCD in the three-loop approximation using the higher covariant derivative regularization and the NSVZ-like subtraction scheme. The recently formulated all-order relation between the Adler function and the anomalous dimension of the matter superfields define...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-01-01
|
| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S055032131730367X |
| _version_ | 1819046487970021376 |
|---|---|
| author | A.L. Kataev A.E. Kazantsev K.V. Stepanyantz |
| author_facet | A.L. Kataev A.E. Kazantsev K.V. Stepanyantz |
| author_sort | A.L. Kataev |
| collection | DOAJ |
| description | We calculate the Adler D-function for N=1 SQCD in the three-loop approximation using the higher covariant derivative regularization and the NSVZ-like subtraction scheme. The recently formulated all-order relation between the Adler function and the anomalous dimension of the matter superfields defined in terms of the bare coupling constant is first considered and generalized to the case of an arbitrary representation for the chiral matter superfields. The correctness of this all-order relation is explicitly verified at the three-loop level. The special renormalization scheme in which this all-order relation remains valid for the D-function and the anomalous dimension defined in terms of the renormalized coupling constant is constructed in the case of using the higher derivative regularization. The analytic expression for the Adler function for N=1 SQCD is found in this scheme to the order O(αs2). The problem of scheme-dependence of the D-function and the NSVZ-like equation is briefly discussed. |
| first_indexed | 2024-12-21T10:45:15Z |
| format | Article |
| id | doaj.art-1c7bfebd62094da6a00af41ac9a7b900 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-12-21T10:45:15Z |
| publishDate | 2018-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-1c7bfebd62094da6a00af41ac9a7b9002022-12-21T19:06:49ZengElsevierNuclear Physics B0550-32131873-15622018-01-01926C29532010.1016/j.nuclphysb.2017.11.009The Adler D-function for N=1 SQCD regularized by higher covariant derivatives in the three-loop approximationA.L. Kataev0A.E. Kazantsev1K.V. Stepanyantz2Institute for Nuclear Research of the Russian Academy of Sciences, 117312, Moscow, RussiaMoscow State University, Physical Faculty, Department of Theoretical Physics, 119991, Moscow, RussiaMoscow State University, Physical Faculty, Department of Theoretical Physics, 119991, Moscow, RussiaWe calculate the Adler D-function for N=1 SQCD in the three-loop approximation using the higher covariant derivative regularization and the NSVZ-like subtraction scheme. The recently formulated all-order relation between the Adler function and the anomalous dimension of the matter superfields defined in terms of the bare coupling constant is first considered and generalized to the case of an arbitrary representation for the chiral matter superfields. The correctness of this all-order relation is explicitly verified at the three-loop level. The special renormalization scheme in which this all-order relation remains valid for the D-function and the anomalous dimension defined in terms of the renormalized coupling constant is constructed in the case of using the higher derivative regularization. The analytic expression for the Adler function for N=1 SQCD is found in this scheme to the order O(αs2). The problem of scheme-dependence of the D-function and the NSVZ-like equation is briefly discussed.http://www.sciencedirect.com/science/article/pii/S055032131730367X |
| spellingShingle | A.L. Kataev A.E. Kazantsev K.V. Stepanyantz The Adler D-function for N=1 SQCD regularized by higher covariant derivatives in the three-loop approximation Nuclear Physics B |
| title | The Adler D-function for N=1 SQCD regularized by higher covariant derivatives in the three-loop approximation |
| title_full | The Adler D-function for N=1 SQCD regularized by higher covariant derivatives in the three-loop approximation |
| title_fullStr | The Adler D-function for N=1 SQCD regularized by higher covariant derivatives in the three-loop approximation |
| title_full_unstemmed | The Adler D-function for N=1 SQCD regularized by higher covariant derivatives in the three-loop approximation |
| title_short | The Adler D-function for N=1 SQCD regularized by higher covariant derivatives in the three-loop approximation |
| title_sort | adler d function for n 1 sqcd regularized by higher covariant derivatives in the three loop approximation |
| url | http://www.sciencedirect.com/science/article/pii/S055032131730367X |
| work_keys_str_mv | AT alkataev theadlerdfunctionforn1sqcdregularizedbyhighercovariantderivativesinthethreeloopapproximation AT aekazantsev theadlerdfunctionforn1sqcdregularizedbyhighercovariantderivativesinthethreeloopapproximation AT kvstepanyantz theadlerdfunctionforn1sqcdregularizedbyhighercovariantderivativesinthethreeloopapproximation AT alkataev adlerdfunctionforn1sqcdregularizedbyhighercovariantderivativesinthethreeloopapproximation AT aekazantsev adlerdfunctionforn1sqcdregularizedbyhighercovariantderivativesinthethreeloopapproximation AT kvstepanyantz adlerdfunctionforn1sqcdregularizedbyhighercovariantderivativesinthethreeloopapproximation |