Speaker
Leonardo de la Cruz
(IPhT)
Description
Feynman integrals can be evaluated in terms of generalized hypergeometric series known as A-hypergeometric functions, which were proposed by Gel'fand-Kapranov-Zelevinsky (GKZ) as a unified approach to hypergeometric functions. Among the properties of A-hypergeometric functions are symmetries associated with the Newton polytope. In ordinary hypergeometric functions these symmetries lead to linear transformations. In this talk, I will show how these lead to symmetries of Feynman integrals in the Lee-Pomeransky representation. Then, I will summarize the symmetries of n-gon integrals up to n=8, massive banana integrals up to 5-loop, and on-shell ladders up to 3-loop. Finally, I will discuss their relevance to finite integrals.
Primary author
Leonardo de la Cruz
(IPhT)
