41 citations · 104 across the 8 of their papers we have counts for
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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…
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…
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…
Holonomic representation of biadjoint scalar amplitudes
Leonardo de la Cruz
We study tree-level biadjoint scalar amplitudes in the language of -modules. We construct left ideals in the Weyl algebra that allow a holonomic representation of -point…
Classical off-shell currents
Francesco Comberiati, Leonardo de la Cruz
We consider tree-level off-shell currents of two massive particles and massless bosons in the classical limit, which can be fused into the classical limit of scattering a…
On kinetic theories with color and spin from amplitudes
Leonardo de la Cruz
We extend a previously developed approach to relate thermal currents in the high temperature regime and classical limits of amplitudes. We consider the bi-adjoint scalar theory, wh…