8 citations · 12 across the 12 of their papers we have counts for
9 papers · 1 filter
New Tools in the Landau Bootstrap
Piotr Bargieła, Giulio Crisanti, Craig Larkin +4
We describe recent advances in our understanding of the analytic structure of Feynman integrals. In particular, we describe two new classes of constraints on such integrals, that i…
Landau's Leviathans
Vsevolod Chestnov, Giulio Crisanti, Mathieu Giroux
We present a new method together with a proof-of-concept implementation for determining the Landau singularities of Feynman integrals, read off directly from where the Euler charac…
Magic Relations and Critical Varieties of Feynman Integrals
Giulio Crisanti, Hjalte Frellesvig, Andrzej Pokraka +1
Magic relations are a class of integration-by-parts identities where all integrals in the generating sector drop out. Since their presence causes several otherwise successful metho…
Sampling Polynomial Rational Remainders with SPR: A new Package for Polynomial Division and Elimination
Vsevolod Chestnov, Giulio Crisanti
We introduce SPR, a new Mathematica package for the division and elimination of variables from polynomial systems. SPR works by sampling and reconstructing…
Gravitational waveforms from restriction theory and rapid-decay homology
Giacomo Brunello, Vsevolod Chestnov, Giulio Crisanti +2
We present a systematic framework for computing frequency-domain gravitational waveforms from relativistic binary scattering in different asymptotic regimes. The method yields a co…
Gluing via Intersection Theory
Giulio Crisanti, Burkhard Eden, Maximilian Gottwald +2
Higher-point functions in N = 4 super Yang-Mills theory can be constructed using integrability by triangulating the surfaces on which Feynman graphs would be drawn. It remains hard…
Feynman Integral Reductions by Intersection Theory with Orthogonal Bases and Closed Formulae
Giulio Crisanti, Sid Smith
We present a prescription for choosing orthogonal bases of differential -forms belonging to quadratic twisted period integrals, with respect to the intersection number inner pro…
Intersection Numbers, Polynomial Division and Relative Cohomology
Giacomo Brunello, Vsevolod Chestnov, Giulio Crisanti +3
We present a simplification of the recursive algorithm for the evaluation of intersection numbers for differential -forms, by combining the advantages emerging from the choice o…
Fourier Calculus from Intersection Theory
Giacomo Brunello, Giulio Crisanti, Mathieu Giroux +2
Building on recent advances in studying the co-homological properties of Feynman integrals, we apply intersection theory to the computation of Fourier integrals. We discuss applica…