Exact relations between running of $α_s$ and $α$ in ${\cal N}=1$ SQCD+SQED
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915178068574208 |
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| author | Kataev, A. L. Stepanyantz, K. V. |
| author_facet | Kataev, A. L. Stepanyantz, K. V. |
| contents | In ${\cal N}=1$ supersymmetric QCD-like theories we derive the (all-order) exact equations relating the renormalization group behaviour of the strong and electromagnetic couplings and prove that they are valid in the HD+MSL renormalization prescription. In particular, the $β$-function of ${\cal N}=1$ SQCD can be expressed in terms of the Adler $D$-function. If all favors have the same absolute value of the electromagnetic charges, it is also possible to write a simple relation between the $β$-functions for the strong and electromagnetic coupling constants. In this particular case there is a special renormalization group invariant relation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12070 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact relations between running of $α_s$ and $α$ in ${\cal N}=1$ SQCD+SQED Kataev, A. L. Stepanyantz, K. V. High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology In ${\cal N}=1$ supersymmetric QCD-like theories we derive the (all-order) exact equations relating the renormalization group behaviour of the strong and electromagnetic couplings and prove that they are valid in the HD+MSL renormalization prescription. In particular, the $β$-function of ${\cal N}=1$ SQCD can be expressed in terms of the Adler $D$-function. If all favors have the same absolute value of the electromagnetic charges, it is also possible to write a simple relation between the $β$-functions for the strong and electromagnetic coupling constants. In this particular case there is a special renormalization group invariant relation. |
| title | Exact relations between running of $α_s$ and $α$ in ${\cal N}=1$ SQCD+SQED |
| topic | High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2410.12070 |