Local integrals for planar scattering amplitudes
From MaRDI portal
Publication:1795704
DOI10.1007/JHEP06(2012)125zbMath1397.81428arXiv1012.6032MaRDI QIDQ1795704
Freddy Cachazo, Jaroslav Trnka, Jacob L. Bourjaily, Nima Arkani-Hamed
Publication date: 16 October 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.6032
Related Items (only showing first 100 items - show all)
Spectral parameters for scattering amplitudes in \( \mathcal{N} =4\) super Yang-Mills theory ⋮ Iterative structure of finite loop integrals ⋮ From multiple unitarity cuts to the coproduct of Feynman integrals ⋮ Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry ⋮ Pentagon functions for massless planar scattering amplitudes ⋮ Higher loop mixed correlators in \( \mathcal{N} = 4\) SYM ⋮ Differential equations for multi-loop integrals and two-dimensional kinematics ⋮ Star integrals, convolutions and simplices ⋮ Eliminating spurious poles from gauge-theoretic amplitudes ⋮ Loops, polytopes and splines ⋮ Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation ⋮ Stratifying on-shell cluster varieties: the geometry of non-planar on-shell diagrams ⋮ Gravity on-shell diagrams ⋮ The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions ⋮ On-shell diagrams, Graßmannians and integrability for form factors ⋮ Landau singularities and symbology: one- and two-loop MHV amplitudes in SYM theory ⋮ A planar four-loop form factor and cusp anomalous dimension in QCD ⋮ Yangian-type symmetries of non-planar leading singularities ⋮ On-shell diagrams for \( \mathcal{N} =8\) supergravity amplitudes ⋮ Evidence for a nonplanar amplituhedron ⋮ Correlation functions of the chiral stress-tensor multiplet in \( \mathcal{N}=4 \) SYM ⋮ Logarithmic singularities and maximally supersymmetric amplitudes ⋮ Boundaries of amplituhedra and NMHV symbol alphabets at two loops ⋮ Collinear and soft limits of multi-loop integrands in \( \mathcal{N} = 4 \) Yang-Mills ⋮ All-helicity symbol alphabets from unwound amplituhedra ⋮ A note on polytopes for scattering amplitudes ⋮ A differential operator for integrating one-loop scattering equations ⋮ Multi-particle amplitudes from the four-point correlator in planar \( \mathcal{N}=4\) SYM ⋮ Emergent unitarity from the amplituhedron ⋮ Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space ⋮ Rooting out letters: octagonal symbol alphabets and algebraic number theory ⋮ Integration-by-parts reductions of Feynman integrals using singular and GPI-space ⋮ Conformally-regulated direct integration of the two-loop heptagon remainder ⋮ Logarithmic forms and differential equations for Feynman integrals ⋮ Algorithms and tools for iterated Eisenstein integrals ⋮ Analytic result for the nonplanar hexa-box integrals ⋮ The two-loop five-particle amplitude in $ \mathcal{N}=8$ supergravity ⋮ The two-loop five-point amplitude in $ \mathcal{N}=8$ supergravity ⋮ One-loop open-string integrals from differential equations: all-order \(\alpha '\)-expansions at \(n\) points ⋮ Manifestly dual-conformal loop integration ⋮ Bootstrapping the QCD soft anomalous dimension ⋮ Traintrack Calabi-Yaus from twistor geometry ⋮ Spherical contours, IR divergences and the geometry of Feynman parameter integrands at one loop ⋮ The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in \( \mathcal{N} = 4 \) SYM ⋮ Notes on the scattering amplitude -- Wilson loop duality ⋮ All-mass \(n\)-gon integrals in \(n\) dimensions ⋮ UV cancellations in gravity loop integrands ⋮ Collider physics at the precision frontier ⋮ Elliptic Feynman integrals and pure functions ⋮ Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings ⋮ Amplitudes from anomalous superconformal symmetry ⋮ Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case ⋮ Constructing canonical Feynman integrals with intersection theory ⋮ The amplituhedron ⋮ Local integrands for the five-point amplitude in planar \(N=4\) SYM up to five loops ⋮ The amplituhedron from momentum twistor diagrams ⋮ Anatomy of the amplituhedron ⋮ Inverse soft factors and Grassmannian residues ⋮ Wilson loops \@ 3-loops in special kinematics ⋮ OPE for super loops ⋮ Form factors and scattering amplitudes in \(\mathcal{N} = 4\) SYM in dimensional and massive regularizations ⋮ Analytic result for the two-loop six-point NMHV amplitude in \(\mathcal{N} = {4}\) super Yang-Mills theory ⋮ Constructing \(\mathcal{N} = 4\) Coulomb branch superamplitudes ⋮ New differential equations for on-shell loop integrals ⋮ Positive geometry, local triangulations, and the dual of the amplituhedron ⋮ \( \mathcal{N} = 7\) on-shell diagrams and supergravity amplitudes in momentum twistor space ⋮ Scattering amplitudes -- Wilson loops duality for the first non-planar correction ⋮ Towards the gravituhedron: new expressions for NMHV gravity amplitudes ⋮ \textit{locally}-finite quantities in sYM ⋮ Jumpstarting the all-loop S-matrix of planar \( \mathcal{N} = {4} \) super Yang-Mills ⋮ Mellin amplitudes for dual conformal integrals ⋮ From polygon Wilson loops to spin chains and back ⋮ Integrand oxidation and one-loop colour-dual numerators in \( \mathcal{N}=4 \) gauge theory ⋮ Leading singularities and off-shell conformal integrals ⋮ Three-loop octagons and \(n\)-gons in maximally supersymmetric Yang-Mills theory ⋮ On NMHV form factors in \( \mathcal{N}=4 \) SYM theory from generalized unitarity ⋮ Notes on cluster algebras and some all-loop Feynman integrals ⋮ The Wilson-loop \(d\) log representation for Feynman integrals ⋮ Coaction and double-copy properties of configuration-space integrals at genus zero ⋮ Prescriptive unitarity for non-planar six-particle amplitudes at two loops ⋮ Four-graviton scattering to three loops in \( \mathcal{N}=8 \) supergravity ⋮ Two-loop doubly massive four-point amplitude involving a half-BPS and Konishi operator ⋮ Two-loop \( \mathcal{N}=2 \) SQCD amplitudes with external matter from iterated cuts ⋮ The full four-loop cusp anomalous dimension in \(\mathcal{N} = 4\) super Yang-Mills and QCD ⋮ Amplituhedron-like geometries ⋮ Truncated cluster algebras and Feynman integrals with algebraic letters ⋮ Integrating three-loop modular graph functions and transcendentality of string amplitudes ⋮ Meromorphic modular forms and the three-loop equal-mass banana integral ⋮ Comments on all-loop constraints for scattering amplitudes and Feynman integrals ⋮ Pentagon functions for one-mass planar scattering amplitudes ⋮ A first look at the function space for planar two-loop six-particle Feynman integrals ⋮ On epsilon factorized differential equations for elliptic Feynman integrals ⋮ Nonperturbative negative geometries: amplitudes at strong coupling and the amplituhedron ⋮ Maximal transcendental weight contribution of scattering amplitudes ⋮ Two-loop hexa-box integrals for non-planar five-point one-mass processes ⋮ The three-loop form factor in \(\mathcal{N} = {4}\) super Yang-Mills ⋮ The soft-collinear bootstrap: \(\mathcal{N} = {4}\) Yang-Mills amplitudes at six- and seven-loops ⋮ Pentagon Wilson loop with Lagrangian insertion at two loops in \(\mathcal{N} = 4\) super Yang-Mills theory ⋮ Symmetry properties of Wilson loops with a Lagrangian insertion ⋮ Baikov representations, intersection theory, and canonical Feynman integrals
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Eliminating spurious poles from gauge-theoretic amplitudes
- Scattering into the fifth dimension of \(\mathcal{N} = 4\) super Yang-Mills
- The S-matrix in twistor space
- Dual conformal symmetry of 1-loop NMHV amplitudes in \( \mathcal{N} = 4 \) SYM theory
- The Grassmannian origin of dual superconformal invariance
- A duality for the S matrix
- The complete planar S-matrix of \(\mathcal{N} = 4\) SYM as a Wilson loop in twistor space
- The Yangian origin of the Grassmannian integral
- Simple loop integrals and amplitudes in \( \mathcal{N} = 4 \) SYM
- Notes on the scattering amplitude -- Wilson loop duality
- Bootstrapping null polygon Wilson loops
- The all-loop integrand for scattering amplitudes in planar \({\mathcal N} = 4\) SYM
- Dual superconformal symmetry of scattering amplitudes in \({\mathcal N}=4\) super-Yang-Mills theory
- An operator product expansion for polygonal null Wilson loops
- The box integrals in momentum-twistor geometry
- New recursion relations for tree amplitudes of gluons
- Generalized unitarity and one-loop amplitudes in \(\mathcal N=1\) super-Yang-Mills
- Generalized unitarity for \(N=4\) super-amplitudes
- One-loop \(n\)-point gauge theory amplitudes, unitarity and collinear limits.
- What is the simplest quantum field theory?
- Amplitudes at weak coupling as polytopes in AdS5
- Y-system for scattering amplitudes
- Twistor Algebra
This page was built for publication: Local integrals for planar scattering amplitudes
