Three-loop verification of the equations relating running of the gauge couplings in $$\mathcal{N}=1$$ N = 1 SQCD + SQED
Abstract We verify a recently derived equations relating the renormalization group running of two gauge couplings in $$\mathcal{N}=1$$ N = 1 SQCD + SQED by the explicit three-loop calculation. It is demonstrated that these equations are really valid in the HD + MSL scheme. In other words, if a theor...
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| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14250-6 |
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| author | O. V. Haneychuk K. V. Stepanyantz |
| author_facet | O. V. Haneychuk K. V. Stepanyantz |
| author_sort | O. V. Haneychuk |
| collection | DOAJ |
| description | Abstract We verify a recently derived equations relating the renormalization group running of two gauge couplings in $$\mathcal{N}=1$$ N = 1 SQCD + SQED by the explicit three-loop calculation. It is demonstrated that these equations are really valid in the HD + MSL scheme. In other words, if a theory is regularized by higher covariant derivatives and the renormalization is made by minimal subtractions of logarithms, the analogs of the strong and electromagnetic gauge couplings do not run independently. However, in the $$\overline{\text{ DR }}$$ DR ¯ scheme the considered equations do not hold starting from the three-loop order, where the scheme dependence becomes essential. Therefore, they are valid only for a certain set of the renormalization prescriptions. We prove that all of them can be obtained from the HD + MSL scheme by finite renormalizations which satisfy a special constraint and illustrate how this works in the three-loop approximation. |
| format | Article |
| id | doaj-art-71b0cd8f5789431e90e0051b3c426e86 |
| institution | OA Journals |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-71b0cd8f5789431e90e0051b3c426e862025-08-20T02:25:11ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-05-0185511010.1140/epjc/s10052-025-14250-6Three-loop verification of the equations relating running of the gauge couplings in $$\mathcal{N}=1$$ N = 1 SQCD + SQEDO. V. Haneychuk0K. V. Stepanyantz1Department of Theoretical Physics, Faculty of Physics, Moscow State UniversityDepartment of Theoretical Physics, Faculty of Physics, Moscow State UniversityAbstract We verify a recently derived equations relating the renormalization group running of two gauge couplings in $$\mathcal{N}=1$$ N = 1 SQCD + SQED by the explicit three-loop calculation. It is demonstrated that these equations are really valid in the HD + MSL scheme. In other words, if a theory is regularized by higher covariant derivatives and the renormalization is made by minimal subtractions of logarithms, the analogs of the strong and electromagnetic gauge couplings do not run independently. However, in the $$\overline{\text{ DR }}$$ DR ¯ scheme the considered equations do not hold starting from the three-loop order, where the scheme dependence becomes essential. Therefore, they are valid only for a certain set of the renormalization prescriptions. We prove that all of them can be obtained from the HD + MSL scheme by finite renormalizations which satisfy a special constraint and illustrate how this works in the three-loop approximation.https://doi.org/10.1140/epjc/s10052-025-14250-6 |
| spellingShingle | O. V. Haneychuk K. V. Stepanyantz Three-loop verification of the equations relating running of the gauge couplings in $$\mathcal{N}=1$$ N = 1 SQCD + SQED European Physical Journal C: Particles and Fields |
| title | Three-loop verification of the equations relating running of the gauge couplings in $$\mathcal{N}=1$$ N = 1 SQCD + SQED |
| title_full | Three-loop verification of the equations relating running of the gauge couplings in $$\mathcal{N}=1$$ N = 1 SQCD + SQED |
| title_fullStr | Three-loop verification of the equations relating running of the gauge couplings in $$\mathcal{N}=1$$ N = 1 SQCD + SQED |
| title_full_unstemmed | Three-loop verification of the equations relating running of the gauge couplings in $$\mathcal{N}=1$$ N = 1 SQCD + SQED |
| title_short | Three-loop verification of the equations relating running of the gauge couplings in $$\mathcal{N}=1$$ N = 1 SQCD + SQED |
| title_sort | three loop verification of the equations relating running of the gauge couplings in mathcal n 1 n 1 sqcd sqed |
| url | https://doi.org/10.1140/epjc/s10052-025-14250-6 |
| work_keys_str_mv | AT ovhaneychuk threeloopverificationoftheequationsrelatingrunningofthegaugecouplingsinmathcaln1n1sqcdsqed AT kvstepanyantz threeloopverificationoftheequationsrelatingrunningofthegaugecouplingsinmathcaln1n1sqcdsqed |