Four Loop Renormalisation Group Equations in general Gross-Neveu-Yukawa Theories
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908570469007360 |
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| author | Steudtner, Tom |
| author_facet | Steudtner, Tom |
| contents | We compute template formulae of all four-loop $β$-functions and anomalous dimensions of arbitrary renormalisable quantum field theories with fermions and scalar fields in the $\overline{\text{MS}}$ scheme. Using these results, novel contributions to the $β$-functions of the Higgs and top coupling are extracted. We discuss how four loops present a challenge to dimensional continuation from four to three dimensions and propose a solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18710 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Four Loop Renormalisation Group Equations in general Gross-Neveu-Yukawa Theories Steudtner, Tom High Energy Physics - Theory High Energy Physics - Phenomenology We compute template formulae of all four-loop $β$-functions and anomalous dimensions of arbitrary renormalisable quantum field theories with fermions and scalar fields in the $\overline{\text{MS}}$ scheme. Using these results, novel contributions to the $β$-functions of the Higgs and top coupling are extracted. We discuss how four loops present a challenge to dimensional continuation from four to three dimensions and propose a solution. |
| title | Four Loop Renormalisation Group Equations in general Gross-Neveu-Yukawa Theories |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.18710 |