General quartic β-function at three loops
Abstract We determine the three-loop MS ¯ $$ \overline{\textrm{MS}} $$ quartic β-function for the most general renormalisable four-dimensional theories. A general parametrisation of the β-function is compared to known β-functions for specific theories to fix all coefficients. Three-loop β-functions...
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          | Main Authors: | , | 
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| Format: | Article | 
| Language: | English | 
| Published: | SpringerOpen
    
        2024-10-01 | 
| Series: | Journal of High Energy Physics | 
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2024)163 | 
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| Summary: | Abstract We determine the three-loop MS ¯ $$ \overline{\textrm{MS}} $$ quartic β-function for the most general renormalisable four-dimensional theories. A general parametrisation 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. | 
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| ISSN: | 1029-8479 | 
 
       