Feynman graphs and Hyperplane arrangements defined over ${\mathbb{F}}_1$

Kyosuke Higashida, Masahiko Yoshinaga

Motivated by some computations of Feynman integrals and certain conjectures on mixed Tate motives, Bejleri and Marcolli posed questions about the ${\mathbb{F}}_1$-structure (in the s…