41 citations · 182 across the 13 of their papers we have counts for
14 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…
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…
Light bending from eikonal in worldline quantum field theory
Fiorenzo Bastianelli, Francesco Comberiati, Leonardo de la Cruz
Using the worldline quantum field theory (WQFT) formalism for classical scattering, we study the deflection of light by a heavy massive spinless/spinning object. WQFT requires the…
Yang-Mills observables: from KMOC to eikonal through EFT
Leonardo de la Cruz, Andres Luna, Trevor Scheopner
We obtain a conservative Hamiltonian describing the interactions of two charged bodies in Yang-Mills through and to all orders in velocity. Our calculation exten…
Worldline description of a bi-adjoint scalar and the zeroth copy
Fiorenzo Bastianelli, Francesco Comberiati, Leonardo de la Cruz
Bi-adjoint scalars are helpful in studying properties of color/kinematics duality and the double copy, which relates scattering amplitudes of gauge and gravity theories. Here we st…
Properties of scattering forms and their relation to associahedra
Leonardo de la Cruz, Alexander Kniss, Stefan Weinzierl
We show that the half-integrands in the CHY representation of tree amplitudes give rise to the definition of differential forms -- the scattering forms -- on the moduli space of a…
Relations for Einstein-Yang-Mills amplitudes from the CHY representation
Leonardo de la Cruz, Alexander Kniss, Stefan Weinzierl
We show that a recently discovered relation, which expresses tree-level single trace Einstein-Yang-Mills amplitudes with one graviton and gauge bosons as a linear combinati…
Double copies of fermions as only gravitational interacting matter
Leonardo de la Cruz, Alexander Kniss, Stefan Weinzierl
Inspired by the recent progress in the field of scattering amplitudes, we discuss hypothetical particles which can be characterised as the double copies of fermions -- in the same…
Proof of the fundamental BCJ relations for QCD amplitudes
Leonardo de la Cruz, Alexander Kniss, Stefan Weinzierl
The fundamental BCJ-relation is a linear relation between primitive tree amplitudes with different cyclic orderings. The cyclic orderings differ by the insertion place of one gluon…
The CHY representation of tree-level primitive QCD amplitudes
Leonardo de la Cruz, Alexander Kniss, Stefan Weinzierl
In this paper we construct a CHY representation for all tree-level primitive QCD amplitudes. The quarks may be massless or massive. We define a generalised cyclic factor $\hat{C}(w…