Graphical functions with spin

2025/04/08 by Oliver Schnetz, Schnetz, Oliver · 3 citations
Mathematics · Physics and Astronomy · Social Sciences · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #International Science and Diplomacy #Mathematical Physics (math-ph) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2504.05850

openalex publication_date 2025/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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-ϕ⁴ (Gross-Neveu-Yukawa) theory up to loop order eight.

Cited by

• Five-loop Anomalous Dimensions of Cubic Scalar Theory from Operator Product Expansion
• The five-twist identity for Feynman periods
• ϕ³ theory at six loops

Related

• Notes on graphical functions with numerator structure
• Feynman Graphs
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