Simple encoding of higher derivative gauge and gravity counterterms

Abstract

Invoking increasingly higher dimension operators to encode novel UV physics in effective gauge and gravity theories traditionally means working with increasingly more finicky and difficult expressions. We demonstrate that local higher derivative supersymmetric-compatible operators at four-points can be absorbed into simpler higher-derivative corrections to scalar theories, which generate the predictions of Yang-Mills and Gravity operators by suitable replacements of color-weights with color-dual kinematic weights as per Bern-Carrasco-Johansson double-copy. We exploit that Jacobi-satisfying representations can be composed out of other Jacobi-satisfying representations, and show that at four-points only a small number of building blocks are required to generate the predictions of higher-derivative operators. We find that this construction saturates the higher-derivative operators contributing to the four-point supersymmetric open and closed-string tree amplitudes, presenting a novel representation of the four-point supersymmetric open string making this structure manifest, as well as identifying the only four additional gauge-invariant building blocks required to saturate the four-point bosonic open string.

arXiv comment7 pages, matches journal version

References in corpus (43)

• New Relations for Gauge-Theory Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Minimal Basis for Gauge Theory Amplitudes
• Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
• Polylogarithms, Multiple Zeta Values and Superstring Amplitudes
• Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
• Pure Gravities via Color-Kinematics Duality for Fundamental Matter
• Color-Kinematics Duality for QCD Amplitudes
• Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• Double copy for massive quantum particles with spin
• Absence of Three-Loop Four-Point Divergences in N=4 Supergravity
• The Duality Between Color and Kinematics and its Applications
• N >= 4 Supergravity Amplitudes from Gauge Theory at Two Loops
• Non-abelian $Z$-theory: Berends-Giele recursion for the ${\alpha }^{\prime }$-expansion of disk integrals
• New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes
• Strings from Massive Higher Spins: The Asymptotic Uniqueness of the Veneziano Amplitude
• Soft Bootstrap and Supersymmetry
• Explicit Formulae for Yang-Mills-Einstein Amplitudes from the Double Copy
• The Ultraviolet Structure of Half-Maximal Supergravity with Matter Multiplets at Two and Three Loops
• The vanishing volume of D=4 superspace
• Semi-abelian Z-theory: NLSM+phi^3 from the open string
• Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
• On the U(1) duality anomaly and the S-matrix of N=4 supergravity
• Heterotic and bosonic string amplitudes via field theory
• Higher-Derivative Corrections to the Non-Abelian Born-Infeld Action
• N >= 4 Supergravity Amplitudes from Gauge Theory at One Loop
• Universality in string interactions
• Expansion of All Multitrace Tree Level EYM Amplitudes
• Non-renormalization and operator mixing via on-shell methods
• RNS derivation of N-point disk amplitudes from the revisited S-matrix approach
• Gravity On-shell Diagrams
• UV considerations on scattering amplitudes in a web of theories
• New Formulas for Amplitudes from Higher-Dimensional Operators
• Revisiting the S-matrix approach to the open superstring low energy effective lagrangian
• Soft Bootstrap and Effective Field Theories
• Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity
• On powercounting in perturbative quantum gravity theories through color-kinematic duality
• Cancelling the U(1) Anomaly in the S-matrix of N=4 Supergravity
• Shift symmetries, soft limits, and the double copy beyond leading order
• UV cancelations in gravity loop integrands
• The Ultraviolet Critical Dimension of Half-Maximal Supergravity at Three Loops
• Two-loop n-point anomalous amplitudes in N=4 supergravity

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• Into the EFThedron and UV constraints from IR consistency
• Covariant Color-Kinematics Duality
• Carving out the Space of Open-String S-matrix
• Composing Effective Prediction at Five Points
• Generalizations of the Double-Copy: the KLT Bootstrap
• Amplitudes, Hopf algebras and the colour-kinematics duality
• Double Copy in Higher Derivative Operators of Nambu-Goldstone Bosons
• Kaluza-Klein from Colour-Kinematics Duality for Massive Fields
• Kinematic Hopf algebra for amplitudes and form factors
• Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr(${\varphi }^3$) theory
• Scattering of Gravitons and Spinning Massive States from Compact Numerators
• Virtues of a symmetric-structure double copy
• The Color-Dual Fates of $F^3$, $R^3$, and $\mathcal{N}=4$ Supergravity
• Multi-spin soft bootstrap and scalar-vector Galileon
• Effective observables for electromagnetic duality from novel amplitude decomposition
• Exploring the Landscape for Soft Theorems of Nonlinear Sigma Models
• Flavour-kinematics duality for Goldstone modes
• Loop-level double-copy for massive fermions in the fundamental
• FiniteFieldSolve: Exactly Solving Large Linear Systems in High-Energy Theory
• UV consistency conditions for CHY integrands
• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
• $D$-Dimensional Modular Assembly of Higher-Derivative Four-Point Contact Amplitudes Involving Fermions
• Entire Four-Graviton EFT from the Duality Between Color and Kinematics
• String Theory from Maximal Supersymmetry
• The seeds of EFT double copy
• One-loop matrix elements of effective superstring interactions: ${\alpha }^{\prime }$-expanding loop integrands