General Four-Loop Beta Function for Scalar-Fermion Theories in Three Dimensions
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914177210122240 |
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| author | Schröder, York Stamou, Emmanuel Steudtner, Tom Uetrecht, Max |
| author_facet | Schröder, York Stamou, Emmanuel Steudtner, Tom Uetrecht, Max |
| contents | We present general four-loop template $β$-functions and anomalous field dimensions for renormalisable scalar-fermion theories in three dimensions. By imposing $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetry, we obtain relations between the template RGE coefficients, valid in any renormalisation scheme. Directly in $d=3$, we identify a new theory with a non-trivial IR fixed point that is under perturbative control in a large-$N$ limit. We provide up-to-date numerical results for all required massive tadpole master integrals up to four loops and complement them with analytic expressions where available. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02123 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | General Four-Loop Beta Function for Scalar-Fermion Theories in Three Dimensions Schröder, York Stamou, Emmanuel Steudtner, Tom Uetrecht, Max High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Phenomenology We present general four-loop template $β$-functions and anomalous field dimensions for renormalisable scalar-fermion theories in three dimensions. By imposing $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetry, we obtain relations between the template RGE coefficients, valid in any renormalisation scheme. Directly in $d=3$, we identify a new theory with a non-trivial IR fixed point that is under perturbative control in a large-$N$ limit. We provide up-to-date numerical results for all required massive tadpole master integrals up to four loops and complement them with analytic expressions where available. |
| title | General Four-Loop Beta Function for Scalar-Fermion Theories in Three Dimensions |
| topic | High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2512.02123 |