Cuts and isogenies
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- Frellesvig2021_Article_CutsAndIsogenies(1)
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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.
Originalsprog | Engelsk |
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Artikelnummer | 064 |
Tidsskrift | Journal of High Energy Physics |
Vol/bind | 2021 |
Udgave nummer | 5 |
Antal sider | 27 |
ISSN | 1029-8479 |
DOI | |
Status | Udgivet - 10 maj 2021 |
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