Intersection numbers from higher-order partial differential equations

DOI10.1007/jhep06(2023)131arXiv2209.01997OpenAlexW4381736231MaRDI QIDQ6134714

Manoj K. Mandal, Hjalte Frellesvig, Vsevolod Chestnov, Federico Gasparotto, Pierpaolo Mastrolia

Publication date: 25 July 2023

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.01997

zbMATH Keywords

scattering amplitudes differential and algebraic geometry

Mathematics Subject Classification ID

Quantum theory (81-XX)

Related Items (4)

Banana integrals in configuration space ⋮ Bootstrapping the relativistic two-body problem ⋮ Reduction to master integrals via intersection numbers and polynomial expansions ⋮ Real time lattice correlation functions from differential equations

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Resolution of singularities for multi-loop integrals
Critical points and number of master integrals
Correlation functions on the lattice and twisted cocycles
Twisted period relations for Lauricella's hypergeometric functions \(F_A\)
Intersection numbers for logarithmic \(K\)-forms
Combinatorics and topology of Kawai-Lewellen-Tye relations
Feynman integrals and intersection theory
Feynman integral relations from parametric annihilators
Decomposition of Feynman integrals by multivariate intersection numbers
Duals of Feynman integrals. I: Differential equations
Duals of Feynman integrals. II: Generalized unitarity
Baikov representations, intersection theory, and canonical Feynman integrals
Homology and cohomology intersection numbers of GKZ systems
From positive geometries to a coaction on hypergeometric functions
From infinity to four dimensions: higher residue pairings and Feynman integrals
Constructing canonical Feynman integrals with intersection theory
Decomposition of Feynman integrals on the maximal cut by intersection numbers
Multivariate Bell polynomials and their applications to powers and fractionary iterates of vector power series and to partial derivatives of composite vector functions
Macaulay matrix for Feynman integrals: linear relations and intersection numbers
HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
Theory of Hypergeometric Functions
QUADRATIC IDENTITIES FOR HYPERGEOMETRIC SERIES OF TYPE (k,l)
Quadratic Relations for Generalized Hypergeometric Functions PFP-1
Intersection theory for twisted cohomologies and twisted Riemann’s period relations I
On the computation of intersection numbers for twisted cocycles
Algorithms for Pfaffian Systems and Cohomology Intersection Numbers of Hypergeometric Integrals
AN ALGORITHM OF COMPUTING COHOMOLOGY INTERSECTION NUMBER OF HYPERGEOMETRIC INTEGRALS
Feynman Integrals
Aspects of Scattering Amplitudes and Moduli Space Localization
The monodromy representation and twisted period relations for Appell’s hypergeometric function F₄
INTERSECTION NUMBERS AND TWISTED PERIOD RELATIONS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION m+1Fm
TWISTED CYCLES AND TWISTED PERIOD RELATIONS FOR LAURICELLA'S HYPERGEOMETRIC FUNCTION F_C
A note on the Drinfeld associator for genus-zero superstring amplitudes in twisted de Rham theory
The SAGEX review on scattering amplitudes Chapter 3: Mathematical structures in Feynman integrals
Expansion by regions with pysecdec
Localization formulas of cohomology intersection numbers
pySecDec: a toolbox for the numerical evaluation of multi-scale integrals

This page was built for publication: Intersection numbers from higher-order partial differential equations