Cuts and isogenies
Research output: Contribution to journal › Journal article › Research › peer-review
Documents
- Frellesvig2021_Article_CutsAndIsogenies(1)
Final published version, 446 KB, PDF document
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.
Original language | English |
---|---|
Article number | 064 |
Journal | Journal of High Energy Physics |
Volume | 2021 |
Issue number | 5 |
Number of pages | 27 |
ISSN | 1029-8479 |
DOIs | |
Publication status | Published - 10 May 2021 |
- Scattering Amplitudes, Differential and Algebraic Geometry, 2-LOOP SELF-ENERGIES, DIFFERENTIAL-EQUATIONS, FEYNMAN-INTEGRALS, ELLIPTIC POLYLOGARITHMS, ITERATED INTEGRALS, SUNRISE, DIAGRAMS, SPACE, SERIES, GRAPH
Research areas
Number of downloads are based on statistics from Google Scholar and www.ku.dk
ID: 272415779