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Resonance and Differential Reduction of Feynman Integrals
Ruth Britto, Thomas W. Grimm, Arno Hoefnagels
Feynman integrals may be viewed as generalized hypergeometric functions, and specifically as solutions of GKZ systems of partial differential equations that typically exhibit reson…
Differential Reductions and Cosmological Correlations
Arno Hoefnagels
The study of cosmological correlators, and more generally Feynman integrals, is greatly aided by considering them as solutions to differential equations. Often, such systems of dif…
A Reduction Algorithm for Cosmological Correlators: Cuts, Contractions, and Complexity
Thomas W. Grimm, Arno Hoefnagels, Mick van Vliet
Cosmological correlators are fundamental observables in an expanding universe and are highly non-trivial functions even at tree-level. In this work, we uncover novel structures in…
Reductions of GKZ Systems and Applications to Cosmological Correlators
Thomas W. Grimm, Arno Hoefnagels
A powerful approach to computing Feynman integrals or cosmological correlators is to consider them as solution to systems of differential equations. Often these can be chosen to be…
Structure and Complexity of Cosmological Correlators
Thomas W. Grimm, Arno Hoefnagels, Mick van Vliet
Cosmological correlators capture the spatial fluctuations imprinted during the earliest episodes of the universe. While they are generally very non-trivial functions of the kinemat…