General Quartic $β$-Function at Three Loops
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910562647015424 |
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| author | Steudtner, Tom Thomsen, Anders Eller |
| author_facet | Steudtner, Tom Thomsen, Anders Eller |
| contents | We determine the three-loop $\overline{\text{MS}}$ quartic $ β$-function for the most general renormalisable four-dimensional theories. A general parametrization of the $ β$-function is compared to known $ β$-functions for specific theories to fix all coefficients. Three-loop $ β$-functions for the cubic coupling and scalar mass terms also follow from the result, which is made available in software packages. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05267 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | General Quartic $β$-Function at Three Loops Steudtner, Tom Thomsen, Anders Eller High Energy Physics - Phenomenology We determine the three-loop $\overline{\text{MS}}$ quartic $ β$-function for the most general renormalisable four-dimensional theories. A general parametrization of the $ β$-function is compared to known $ β$-functions for specific theories to fix all coefficients. Three-loop $ β$-functions for the cubic coupling and scalar mass terms also follow from the result, which is made available in software packages. |
| title | General Quartic $β$-Function at Three Loops |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2408.05267 |