Graphical functions with spin

Fuente: arXiv

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Autore principale:	Schnetz, Oliver
Natura:	Preprint
Pubblicazione:	2025
Soggetti:	High Energy Physics - Theory Mathematical Physics
Accesso online:	Acceder al recurso
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_version_	1866912367109996544
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

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