Details

Autor(en) / Beteiligte

• Frellesvig, Hjalte
• Vergu, Cristian
• Volk, Matthias
• von Hippel, Matt

Titel

Cuts and isogenies

Ist Teil von

• The journal of high energy physics, 2021-05, Vol.2021 (5), p.1-27, Article 64

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2021

Link zum Volltext

Quelle

EZB Free E-Journals

Beschreibungen/Notizen

• A bstract We consider the genus-one curves which arise in the cuts of the sunrise and in the elliptic double-box Feynman integrals. We compute and compare invariants of these curves in a number of ways, including Feynman parametrization, lightcone and Baikov (in full and loop-by-loop variants). We find that the same geometry for the genus-one curves arises in all cases, which lends support to the idea that there exists an invariant notion of genus-one geometry, independent on the way it is computed. We further indicate how to interpret some previous results which found that these curves are related by isogenies instead.