Symbol letters of Feynman integrals from Gram determinants

by xiaofeng xu

Monday 11 Mar 2024, 14:00 → 16:00 Europe/Zurich

4/3-006 - TH Conference Room (CERN)

Symbol letters are crucial for analytically calculating Feynman integrals in terms of iterated integrals. We present a novel method to construct the symbol letters for a given integral family without prior knowledge of the canonical differential equations, and demonstrate its effectiveness in solving non-trivial problems with multiple loops and legs. Using the method, we successfully bootstrap the canonical differential equations for a two-loop five-point family with two external masses and for a three-loop four-point family with two external masses, which were previously unknown in the literature. We anticipate that our method can be applied to a wide range of cutting-edge calculations in the future.

baikovletter.pdf