Constraints on sequential discontinuities from the geometry of on-shell spaces

DOI10.1007/jhep07(2023)236arXiv2211.07633OpenAlexW4385496669MaRDI QIDQ6055829

Matthew D. Schwartz, Cristian Vergu, Andrew J. McLeod, Holmfridur S. Hannesdottir

Publication date: 29 September 2023

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

Full work available at URL: https://arxiv.org/abs/2211.07633

zbMATH Keywords

scattering amplitudesdifferential and algebraic geometry

Mathematics Subject Classification ID

Quantum theory (81-XX)

Related Items (2)

Symbol alphabets from the Landau singular locus ⋮ Landau singularities of the 7-point ziggurat. II.

Cites Work

• Cluster patterns in Landau and leading singularities via the amplituhedron
• Bridging positivity and S-matrix bootstrap bounds
• Unnamed Item
• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
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• From multiple unitarity cuts to the coproduct of Feynman integrals
• Mixed Tate motives over \(\mathbb{Z}\)
• The elliptic dilogarithm for the sunset graph
• Singularities of integrals. Homology, hyperfunctions and microlocal analysis. Transl. from the French by the author
• Cluster algebras and the subalgebra constructibility of the seven-particle remainder function
• Cuts from residues: the one-loop case
• Landau singularities from the amplituhedron
• Les singularités des applications différentiables
• Numerical loop-tree duality: contour deformation and subtraction
• The O(N) S-matrix monolith
• Tropical Grassmannians, cluster algebras and scattering amplitudes
• Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
• On the regular holonomic character of the S-matrix and microlocal analysis of unitarity-type integrals
• Applications of algebraic topology. Graphs and networks. The Picard- Lefschetz theory and Feynman integrals
• Discontinuity formula and Sato's conjecture
• Numerical evaluation of multi-loop integrals by sector decomposition
• Bootstrapping two-loop Feynman integrals for planar \( \mathcal{N}=4 \) sYM
• A note on the S-matrix bootstrap for the 2d O(N) bosonic model
• Landau singularities and symbology: one- and two-loop MHV amplitudes in SYM theory
• Boundaries of amplituhedra and NMHV symbol alphabets at two loops
• All-helicity symbol alphabets from unwound amplituhedra
• Heptagons from the Steinmann cluster bootstrap
• Bootstrapping the QCD soft anomalous dimension
• The S-matrix bootstrap. II: Two dimensional amplitudes
• Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
• Adding flavour to the S-matrix bootstrap
• S-matrix bootstrap in 3 + 1 dimensions: regularization and dual convex problem
• Algebraic branch points at all loop orders from positive kinematics and wall crossing
• Scattering from production in 2d
• Sequential discontinuities of Feynman integrals and the monodromy group
• An analytical toolkit for the S-matrix bootstrap
• Non-perturbative geometries for planar \(\mathcal{N} = 4\) SYM amplitudes
• Algebraic singularities of scattering amplitudes from tropical geometry
• Tropical fans, scattering equations and amplitudes
• Symbol alphabets from tensor diagrams
• The three-loop MHV octagon from \(\bar{Q}\) equations
• Heptagon functions and seven-gluon amplitudes in multi-Regge kinematics
• Kinematic singularities of Feynman integrals and principal \(A\)-determinants
• Meromorphic modular forms and the three-loop equal-mass banana integral
• Spinning S-matrix bootstrap in 4d
• Two-loop hexa-box integrals for non-planar five-point one-mass processes
• Cutkosky's theorem for massive one-loop Feynman integrals. I
• Bootstrapping a stress-tensor form factor through eight loops
• From positive geometries to a coaction on hypergeometric functions
• All-mass \(n\)-gon integrals in \(n\) dimensions
• Superconformal symmetry and two-loop amplitudes in planar \(\mathcal{N} = {4}\) super Yang-Mills
• Six-gluon amplitudes in planar \(\mathcal{N} = 4\) super-Yang-Mills theory at six and seven loops
• The S-matrix bootstrap. III: Higher dimensional amplitudes
• The cosmic Galois group and extended Steinmann relations for planar \(\mathcal{N} = 4\) SYM amplitudes
• Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral
• The double pentaladder integral to all orders
• The Sklyanin bracket and cluster adjacency at all multiplicity
• Cluster adjacency beyond MHV
• Cluster adjacency and the four-loop NMHV heptagon
• Applications of an isotopy theorem
• The monodromy rings of a class of self-energy graphs
• The monodromy rings of one loop Feynman integrals
• Dual S-matrix bootstrap. Part I. 2D theory
• Bootstrapping pions at large \(N\)
• Landau discriminants
• Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives
• From tree- to loop-simplicity in affine Toda theories. I: Landau singularities and their subleading coefficients
• Grassmannian Geometry of Scattering Amplitudes
• Cluster polylogarithms for scattering amplitudes
• Spectral Representations in Perturbation Theory. I. Vertex Function
• Dispersion Relations and Vertex Properties in Perturbation Theory
• Spectral Representations in Perturbation Theory. II. Two-Particle Scattering
• Ordinary and Anomalous Thresholds in Perturbation Theory
• On analytic properties of vertex parts in quantum field theory
• Parametric representations of general Green’s functions
• Unitarity Condition Below Physical Thresholds in the Normal and Anomalous Cases
• On a method of finding singularities of Feynman graphs
• Problem of Proving the Mandelstam Representation
• Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
• Conformal properties of a class of exactly solvable N-body problems in space dimension one
• Analytic structure of Schläfli function
• Volumes of hyperbolic manifolds and mixed Tate motives
• The Index of a Constrained Critical Point
• A geometrical angle on Feynman integrals
• Some rigorous analyticity properties of the four-point function in momentum space
• EXAMPLES OF SINGULAR NORMAL COMPLEX SPACES WHICH ARE TOPOLOGICAL MANIFOLDS
• A homological approach to parametric Feynman integrals
• Hermitian Analyticity and S-Matrix Singularity Structure
• S-Matrix Singularity Structure in the Physical Region. I. Properties of Multiple Integrals
• Formules de Picard-Lefschetz généralisées et ramification des intégrales
• Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)
• Singularities of the Second Type
• Singularities and Discontinuities of Feynman Amplitudes
• An automatized algorithm to compute infrared divergent multi-loop integrals.

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