An Elliptic Yangian-Invariant, `Leading Singularity'
arXiv:2012.14438 · doi:10.1103/PhysRevLett.126.201601
Abstract
We derive closed formulae for the first examples of non-algebraic, elliptic `leading singularities' in planar, maximally supersymmetric Yang-Mills theory and show that they are Yangian-invariant.
arXiv comment4+2 pages; 2 figures. Ancillary files include computer-usable formulae
References in corpus (54)
- Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
- One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
- Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
- New Recursion Relations for Tree Amplitudes of Gluons
- Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
- Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
- The Amplituhedron
- Total positivity, Grassmannians, and networks
- The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
- The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
- Local Integrals for Planar Scattering Amplitudes
- Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
- A Duality For The S Matrix
- Massive Loop Amplitudes from Unitarity
- Dual Superconformal Invariance, Momentum Twistors and Grassmannians
- Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
- The elliptic dilogarithm for the sunset graph
- Two-loop two-point functions with masses: asymptotic expansions and Taylor series, in any dimension
- The Grassmannian Origin Of Dual Superconformal Invariance
- Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
- Uniqueness of two-loop master contours
- Elliptic polylogarithms and iterated integrals on elliptic curves I: general formalism
- All tree-level amplitudes in N=4 SYM
- Elliptic polylogarithms and iterated integrals on elliptic curves II: an application to the sunrise integral
- Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph
- The Elliptic Double-Box Integral: Massless Amplitudes Beyond Polylogarithms
- Elliptic Feynman integrals and pure functions
- A K3 in phi4
- Traintracks Through Calabi-Yaus: Amplitudes Beyond Elliptic Polylogarithms
- A (Bounded) Bestiary of Feynman Integral Calabi-Yau Geometries
- On the Singularity Structure of Maximally Supersymmetric Scattering Amplitudes
- Sharpening The Leading Singularity
- An Elliptic Generalization of Multiple Polylogarithms
- Two-Loop Amplitudes of Gluons and Octa-Cuts in N=4 Super Yang-Mills
- Yangians, Grassmannians and T-duality
- Amplitudes and Correlators to Ten Loops Using Simple, Graphical Bootstraps
- The Yangian origin of the Grassmannian integral
- Prescriptive Unitarity
- Loops and trees
- Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space
- The Soft-Collinear Bootstrap: N=4 Yang-Mills Amplitudes at Six and Seven Loops
- MHV Diagrams in Momentum Twistor Space
- Leading Singularities of the Two-Loop Six-Particle MHV Amplitude
- Perturbation Theory at Eight Loops: Novel Structures and the Breakdown of Manifest Conformality
- Local Integrand Representations of All Two-Loop Amplitudes in Planar SYM
- Three-Loop Leading Singularities and BDS Ansatz for Five Particles
- On the structure of scattering amplitudes in N=4 super Yang-Mills and N=8 supergravity
- Positroids, Plabic Graphs, and Scattering Amplitudes in Mathematica
- New relations for scattering amplitudes in Yang-Mills theory at loop level
- Efficient Tree-Amplitudes in N=4: Automatic BCFW Recursion in Mathematica
- All-Multiplicity Non-Planar MHV Amplitudes in sYM at Two Loops
- Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
- Amplitudes at Infinity
- Building Bases of Loop Integrands
Cited by in corpus (14)
- The SAGEX Review on Scattering Amplitudes, Chapter 3: Mathematical structures in Feynman integrals
- The ice cone family and iterated integrals for Calabi-Yau varieties
- Loop-by-loop Differential Equations for Dual (Elliptic) Feynman Integrals
- The elliptic double box and symbology beyond polylogarithms
- On Epsilon Factorized Differential Equations for Elliptic Feynman Integrals
- Canonical Differential Equations Beyond Genus One
- Schubert Problems, Positivity and Symbol Letters
- Algebraic branch points at all loop orders from positive kinematics and wall crossing
- Prescriptive Unitarity with Elliptic Leading Singularities
- Classifying post-Minkowskian geometries for gravitational waves via loop-by-loop Baikov
- Cutting the traintracks: Cauchy, Schubert and Calabi-Yau
- Illustrations of Integrand-Basis Building at Two Loops
- All Two-Loop, Color-Dressed, Six-Point Amplitude Integrands in sYM
- The Stratification of Rigidity