Graphical functions with spin

Abstract 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 trac...

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Bibliographic Details
Main Author: Oliver Schnetz
Format: Article
Language:English
Published: SpringerOpen 2025-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP06(2025)053
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Summary:Abstract 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.
ISSN:1029-8479