Algebraic singularities of scattering amplitudes from tropical geometry

DOI10.1007/JHEP04(2021)002zbMath1462.81204arXiv1912.08217OpenAlexW3143535395MaRDI QIDQ2032450

Ömer Gürdoğan, Jack Foster, Chrysostomos Kalousios, James M. Drummond

Publication date: 11 June 2021

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

Full work available at URL: https://arxiv.org/abs/1912.08217

zbMATH Keywords

scattering amplitudesdifferential and algebraic geometry

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of differential geometry to physics (53Z05) (S)-matrix theory, etc. in quantum theory (81U20) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items (20)

Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry ⋮ Mutation invariant functions on cluster ensembles ⋮ Constraints on sequential discontinuities from the geometry of on-shell spaces ⋮ Schubert problems, positivity and symbol letters ⋮ Landau discriminants ⋮ Antipodal symmetry of two-loop MHV amplitudes ⋮ Notes on worldsheet-like variables for cluster configuration spaces ⋮ Adjacency for scattering amplitudes from the Gröbner fan ⋮ A nice two-loop next-to-next-to-MHV amplitude in \(\mathcal{N} = 4\) super-Yang-Mills ⋮ Symbology for elliptic multiple polylogarithms and the symbol prime ⋮ Algebraic branch points at all loop orders from positive kinematics and wall crossing ⋮ Minimal kinematics: an all \(k\) and \(n\) peek into \(\mathrm{Trop}^+ \mathrm{G}(k,n)\) ⋮ Notes on cluster algebras and some all-loop Feynman integrals ⋮ The positive Dressian equals the positive tropical Grassmannian ⋮ Tropical fans, scattering equations and amplitudes ⋮ Symbol alphabets from tensor diagrams ⋮ Truncated cluster algebras and Feynman integrals with algebraic letters ⋮ The three-loop MHV octagon from \(\bar{Q}\) equations ⋮ Comments on all-loop constraints for scattering amplitudes and Feynman integrals ⋮ The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond

Cites Work

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