Symbol letters of Feynman integrals from Gram determinants
arxiv(2024)
摘要
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. We provide a program package implementing our
algorithm, and demonstrate its effectiveness in solving non-trivial problems
with multiple loops and legs. Using our 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.
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