Papers › The Galois coaction on φ⁴ periods
The Galois coaction on φ⁴ periods
Erik Panzer, Oliver Schnetz
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We report on calculations of Feynman periods of primitive log-divergent ϕ⁴ graphs up to eleven loops. The structure of ϕ⁴ periods is described by a series of conjectures. In particular, we discuss the possibility that ϕ⁴ periods are a comodule under the Galois coaction. Finally, we compare the results with the periods of primitive log-divergent non-ϕ⁴ graphs up to eight loops and find remarkable differences to ϕ⁴ periods. Explicit results for all periods we could compute are provided in ancillary files.
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