Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
We construct a diagrammatic coaction acting on one-loop Feynman graphs and their cuts. The graphs are naturally identified with the corresponding (cut) Feynman integrals in dimensional regularization, whose coefficients of the Laurent expansion in the dimensional regulator are multiple polylogarithms (MPLs). Our main result is the conjecture that this diagrammatic …