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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.05850 |
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| _version_ | 1866912367109996544 |
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| author | Schnetz, Oliver |
| author_facet | Schnetz, Oliver |
| contents | The theory of graphical functions is generalized from scalar theories to theories with spin, leading to a numerator structure in Feynman integrals. The main part of this article treats the case of positive integer spin, which is obtained from spin $1/2$ theories after the evaluation of $γ$ traces. As an application (in this article used mainly to prove consistency and efficiency of the method), we calculate primitive Feynman integrals in Yukawa-$ϕ^4$ (Gross-Neveu-Yukawa) theory up to loop order eight. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05850 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Graphical functions with spin Schnetz, Oliver High Energy Physics - Theory Mathematical Physics The theory of graphical functions is generalized from scalar theories to theories with spin, leading to a numerator structure in Feynman integrals. The main part of this article treats the case of positive integer spin, which is obtained from spin $1/2$ theories after the evaluation of $γ$ traces. As an application (in this article used mainly to prove consistency and efficiency of the method), we calculate primitive Feynman integrals in Yukawa-$ϕ^4$ (Gross-Neveu-Yukawa) theory up to loop order eight. |
| title | Graphical functions with spin |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2504.05850 |