3 papers
hep-th2025
Fano and Reflexive Polytopes from Feynman Integrals
Leonardo de la Cruz, Pavel P. Novichkov, Pierre Vanhove
We classify the Fano and reflexive polytopes that arise from quasi-finite Feynman integrals. These polytopes appear as scaled Minkowski sums of the Newton polytopes associated with…
hep-th2024
Polytope symmetries of Feynman integrals
Leonardo de la Cruz
Feynman integrals appropriately generalized are -hypergeometric functions. Among the properties of -hypergeometric functions are symmetries associated with th…
hep-th2024
Algorithm for differential equations for Feynman integrals in general dimensions
Leonardo de la Cruz, Pierre Vanhove
We present an algorithm for determining the minimal order differential equations associated to a given Feynman integral in dimensional or analytic regularisation. The algorithm is…