Constructs a graphical coaction for all-loop FRW integrals in conformally-coupled scalar theories via twisted (co)homology, with combinatorial description of kinematic flow and a public web app for computation.
Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
8 Pith papers cite this work, alongside 235 external citations. Polarity classification is still indexing.
8
Pith papers citing it
235
external citations · Pith
abstract
The analytic structure of scattering amplitudes is restricted by Steinmann relations, which enforce the vanishing of certain discontinuities of discontinuities. We show that these relations dramatically simplify the function space for the hexagon function bootstrap in planar maximally supersymmetric Yang-Mills theory. Armed with this simplification, along with the constraints of dual conformal symmetry and Regge exponentiation, we obtain the complete five-loop six-particle amplitude.
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Cluster algebras for planar conformal kinematics are identified as G(4,n) subalgebras and used to bootstrap the symbol of an 8-point three-loop wheel integral via D3 and new algebraic letters.
One-cycle negative geometries in N=4 SYM have singularities only at z=-1, 0, and infinity to all loop orders.
The chiral algebra bootstrap yields all-loop splitting functions for self-dual N=4 SYM, a proof of no double-pole OPEs, and novel two-loop form factors with anti-self-dual field strength insertions.
Eight-loop computation of the tr φ³ three-point form factor in planar N=4 SYM together with coefficient patterns in its symbol.
Conjecture predicts all-loop double-log null-limit behavior of n-point large-charge correlators in planar N=4 SYM via the tilted cusp anomalous dimension, matching small-mass massive amplitudes.
Explicit two-loop computations of protected correlators in N=4 SYM yield a universal one-loop term and a planar extrapolation at arbitrary dimension controlled by stress-tensor multiplet count.
Explicit three-loop computation of negative geometries for F(g,z) with all-loop resummation of one-cycle diagrams and extraction of the cusp anomalous dimension via z-integration.
citing papers explorer
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A Graphical Coaction for FRW Integrals from Partial/Relative Twisted (Co)homology
Constructs a graphical coaction for all-loop FRW integrals in conformally-coupled scalar theories via twisted (co)homology, with combinatorial description of kinematic flow and a public web app for computation.
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Kinematics, cluster algebras and Feynman integrals
Cluster algebras for planar conformal kinematics are identified as G(4,n) subalgebras and used to bootstrap the symbol of an 8-point three-loop wheel integral via D3 and new algebraic letters.
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Landau Analysis of One-Cycle Negative Geometries
One-cycle negative geometries in N=4 SYM have singularities only at z=-1, 0, and infinity to all loop orders.
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Form factors of $\mathscr{N}=4$ self-dual Yang-Mills from the chiral algebra bootstrap
The chiral algebra bootstrap yields all-loop splitting functions for self-dual N=4 SYM, a proof of no double-pole OPEs, and novel two-loop form factors with anti-self-dual field strength insertions.
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Eight loop form factors, amplitudes and patterns in planar $\mathcal{N}=4$ super-Yang-Mills theory
Eight-loop computation of the tr φ³ three-point form factor in planar N=4 SYM together with coefficient patterns in its symbol.
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Null limit of large-charge correlators in planar $\mathcal{N}=4$ Super-Yang-Mills theory
Conjecture predicts all-loop double-log null-limit behavior of n-point large-charge correlators in planar N=4 SYM via the tilted cusp anomalous dimension, matching small-mass massive amplitudes.
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Tracing Transcendentality in Protected Correlators of N=4 SYM
Explicit two-loop computations of protected correlators in N=4 SYM yield a universal one-loop term and a planar extrapolation at arbitrary dimension controlled by stress-tensor multiplet count.
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Multi-Loop Negative Geometries
Explicit three-loop computation of negative geometries for F(g,z) with all-loop resummation of one-cycle diagrams and extraction of the cusp anomalous dimension via z-integration.