The structure of divergences in the higher-derivative supersymmetric $6D$ gauge theory
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913765419646976 |
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| author | Buchbinder, I. L. Budekhina, A. S. Ivanov, E. A. Stepanyantz, K. V. |
| author_facet | Buchbinder, I. L. Budekhina, A. S. Ivanov, E. A. Stepanyantz, K. V. |
| contents | Using the harmonic superspace approach, we perform a comprehensive study of the structure of divergences in the higher-derivative $6D$, ${\cal N}=(1,0)$ supersymmetric Yang--Mills theory coupled to the hypermultiplet in the adjoint representation. The effective action is constructed in the framework of the superfield background field method with the help of ${\cal N}=(1,0)$ supersymmetric higher-derivative regularization scheme which preserves all symmetries of the theory. The one-loop divergences are calculated in a manifestly gauge invariant and $6D$, ${\cal N}=(1,0)$ supersymmetric form hopefully admitting a generalization to higher loops. The $β$-function in the one-loop approximation is found and analyzed. In particular, it is shown that the one-loop $β$-function for an arbitrary regulator function is specified by integrals of double total derivatives in momentum space, like it happens in $4D,\, {\cal N}=1$ superfield gauge theories. This points to the potential possibility to derive the all-loop NSVZ-like exact $β$-function in the considered theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18532 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The structure of divergences in the higher-derivative supersymmetric $6D$ gauge theory Buchbinder, I. L. Budekhina, A. S. Ivanov, E. A. Stepanyantz, K. V. High Energy Physics - Theory Using the harmonic superspace approach, we perform a comprehensive study of the structure of divergences in the higher-derivative $6D$, ${\cal N}=(1,0)$ supersymmetric Yang--Mills theory coupled to the hypermultiplet in the adjoint representation. The effective action is constructed in the framework of the superfield background field method with the help of ${\cal N}=(1,0)$ supersymmetric higher-derivative regularization scheme which preserves all symmetries of the theory. The one-loop divergences are calculated in a manifestly gauge invariant and $6D$, ${\cal N}=(1,0)$ supersymmetric form hopefully admitting a generalization to higher loops. The $β$-function in the one-loop approximation is found and analyzed. In particular, it is shown that the one-loop $β$-function for an arbitrary regulator function is specified by integrals of double total derivatives in momentum space, like it happens in $4D,\, {\cal N}=1$ superfield gauge theories. This points to the potential possibility to derive the all-loop NSVZ-like exact $β$-function in the considered theory. |
| title | The structure of divergences in the higher-derivative supersymmetric $6D$ gauge theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.18532 |