4 papers
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…
Gravitational lensing in a plasma from worldlines
Francesco Comberiati, Leonardo de la Cruz
We study the deflection of light rays in a cold, non-magnetized plasma using the worldline framework. Starting from Synge's Hamiltonian formalism, we construct a position-space act…
Finite Integrals from Feynman Polytopes
Leonardo de la Cruz, David A. Kosower, Pavel P. Novichkov
We investigate a geometric approach to determining the complete set of numerators giving rise to finite Feynman integrals. Our approach proceeds graph by graph, and makes use of 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…