53 citations · 115 across the 16 of their papers we have counts for
12 papers · 1 filter
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…
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…
Differential Space of Feynman Integrals: Annihilators and -module
Vsevolod Chestnov, Wojciech Flieger, Pierpaolo Mastrolia +3
We present a novel algorithm for constructing differential operators with respect to external variables that annihilate Feynman-like integrals and give rise to the associated $\mat…
Intersection Numbers from Companion Tensor Algebra
Giacomo Brunello, Vsevolod Chestnov, Pierpaolo Mastrolia
Twisted period integrals are ubiquitous in theoretical physics and mathematics, where they inhabit a finite-dimensional vector space governed by an inner product known as the inter…
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…
Restrictions of Pfaffian Systems for Feynman Integrals
Vsevolod Chestnov, Saiei J. Matsubara-Heo, Henrik J. Munch +1
This work studies limits of Pfaffian systems, a class of first-order PDEs appearing in the Feynman integral calculus. Such limits appear naturally in the context of scattering ampl…
Recent progress in intersection theory for Feynman integrals decomposition
Vsevolod Chestnov
High precision calculations in perturbative QFT often require evaluation of big collection of Feynman integrals. Complexity of this task can be greatly reduced via the usage of lin…
Intersection Numbers from Higher-order Partial Differential Equations
Vsevolod Chestnov, Hjalte Frellesvig, Federico Gasparotto +2
We propose a new method for the evaluation of intersection numbers for twisted meromorphic -forms, through Stokes' theorem in dimensions. It is based on the solution of an $…
Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers
Vsevolod Chestnov, Federico Gasparotto, Manoj K. Mandal +4
We elaborate on the connection between Gel'fand-Kapranov-Zelevinsky systems, de Rham theory for twisted cohomology groups, and Pfaffian equations for Feynman integrals. We propose…
Hexagon Bootstrap in the Double Scaling Limit
Vsevolod Chestnov, Georgios Papathanasiou
We study the six-particle amplitude in planar super Yang-Mills theory in the double scaling (DS) limit, the only nontrivial codimension-one boundary of its positi…
The Multi-Regge Limit from the Wilson Loop OPE
Till Bargheer, Vsevolod Chestnov, Volker Schomerus
The finite remainder function for planar, color-ordered, maximally helicity violating scattering processes in N=4 super Yang-Mills theory possesses a non-vanishing multi-Regge limi…