Constructing canonical Feynman integrals with intersection theory
Abstract
Canonical Feynman integrals are of great interest in the study of scattering amplitudes at the multi-loop level. We propose to construct dlog-form integrals of the hypergeometric type, treat them as a representation of Feynman integrals, and project them into master integrals using intersection theory. This provides a constructive way to build canonical master integrals whose differential equations can be solved easily. We use our method to investigate both the maximally cut integrals and the uncut ones at one and two loops, and demonstrate its applicability in problems with multiple scales.
- Publication:
-
Physics Letters B
- Pub Date:
- March 2021
- DOI:
- 10.1016/j.physletb.2021.136085
- arXiv:
- arXiv:2008.03045
- Bibcode:
- 2021PhLB..81436085C
- Keywords:
-
- High Energy Physics - Theory;
- High Energy Physics - Phenomenology
- E-Print:
- v2: journal version