<p>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<i>/</i>2 theories after the evaluation of <i>γ</i> traces.</p><p>As an application (in this article used mainly to prove consistency and efficiency of the method), we calculate primitive Feynman integrals in Yukawa-<i>ϕ</i><sup>4</sup> (Gross-Neveu-Yukawa) theory up to loop order eight.</p>

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Graphical functions with spin

  • Oliver Schnetz

摘要

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.