Berends-Giele currents in Bern-Carrasco-Johansson gauge for $F^3$- and $F^4$-deformed Yang-Mills amplitudes

Abstract

We construct new representations of tree-level amplitudes in D-dimensional gauge theories with deformations via higher-mass-dimension operators ${\alpha }^{\prime }{F}^3$ and ${\alpha }^{\prime 2}{F}^4$. Based on Berends-Giele recursions, the tensor structure of these amplitudes is compactly organized via off-shell currents. On the one hand, we present manifestly cyclic representations, where the complexity of the currents is systematically reduced. On the other hand, the duality between color and kinematics due to Bern, Carrasco and Johansson is manifested by means of non-linear gauge transformations of the currents. We exploit the resulting notion of Bern-Carrasco-Johansson gauge to provide explicit and manifestly local double-copy representations for gravitational amplitudes involving ${\alpha }^{\prime }{R}^2$ and ${\alpha }^{\prime 2}{R}^3$ operators.

arXiv comment43+16 pages, 14 figures

References in corpus (75)

• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• New Relations for Gauge-Theory Amplitudes
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
• Super-Poincare Covariant Quantization of the Superstring
• Scattering of Massless Particles: Scalars, Gluons and Gravitons
• One-Loop Amplitudes for e^+ e^- to Four Partons
• Gravity as the Square of Gauge Theory
• New Color Decompositions for Gauge Amplitudes at Tree and Loop Level
• Minimal Basis for Gauge Theory Amplitudes
• Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory
• Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM
• The Momentum Kernel of Gauge and Gravity Theories
• The Kinematic Algebra From the Self-Dual Sector
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
• Explicit BCJ Numerators from Pure Spinors
• Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
• Polylogarithms, Multiple Zeta Values and Superstring Amplitudes
• Open & Closed vs. Pure Open String Disk Amplitudes
• Masses, fermions and generalized D-dimensional unitarity
• Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
• The Ultraviolet Properties of N=4 Supergravity at Four Loops
• Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• Closed String Amplitudes as Single-Valued Open String Amplitudes
• Absence of Three-Loop Four-Point Divergences in N=4 Supergravity
• Symmetry and Action for Flavor-Kinematics Duality
• The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
• Non-abelian $Z$-theory: Berends-Giele recursion for the ${\alpha }^{\prime }$-expansion of disk integrals
• Color-dressed recursive relations for multi-parton amplitudes
• Towards one-loop SYM amplitudes from the pure spinor BRST cohomology
• Gravity Amplitudes as Generalized Double Copies
• A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory
• Dual Identities inside the Gluon and the Graviton Scattering Amplitudes
• On amplitudes in self-dual sector of Yang-Mills theory
• Berends-Giele recursion for double-color-ordered amplitudes
• Amplitude Relations in Non-linear Sigma Model
• Berends-Giele recursions and the BCJ duality in superspace and components
• New BCJ representations for one-loop amplitudes in gauge theories and gravity
• On-shell constructibility of tree amplitudes in general field theories
• Multiparticle SYM equations of motion and pure spinor BRST blocks
• On the U(1) duality anomaly and the S-matrix of N=4 supergravity
• Heterotic and bosonic string amplitudes via field theory
• A recursive method for SYM n-point tree amplitudes
• Construction of an effective Yang-Mills Lagrangian with manifest BCJ duality
• Evanescent Effects Can Alter Ultraviolet Divergences in Quantum Gravity without Physical Consequences
• Non-linear gauge transformations in $D=10$ SYM theory and the BCJ duality
• Perturbiner Methods for Effective Field Theories and the Double Copy
• Universality in string interactions
• Testing Gluon Self-Interactions in Three Jet Events at Hadron Colliders
• Pions as Gluons in Higher Dimensions
• Two-Loop Renormalization of Quantum Gravity Simplified
• RNS derivation of N-point disk amplitudes from the revisited S-matrix approach
• String theory and the mapping of gravity into gauge theory
• A solution to the non-linear equations of D=10 super Yang-Mills theory
• New Formulas for Amplitudes from Higher-Dimensional Operators
• SD Perturbiner in YM+Gravity
• Revisiting the S-matrix approach to the open superstring low energy effective lagrangian
• Towards Field Theory Amplitudes From the Cohomology of Pure Spinor Superspace
• Colour-Kinematics duality and the Drinfeld double of the Lie algebra of diffeomorphisms
• Conformal Gravity from Gauge Theory
• Generalized string theory mapping relations between gravity and gauge theory
• Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity
• On tree form-factors in (supersymmetric) Yang-Mills theory
• From maximal to minimal supersymmetry in string loop amplitudes
• Cancelling the U(1) Anomaly in the S-matrix of N=4 Supergravity
• Off-shell Currents and Color-Kinematics Duality
• Graviton and gluon scattering from first principles
• A Vertex Operator Algebra Construction of the Colour-Kinematics Dual numerator
• String-motivated one-loop amplitudes in gauge theories with half-maximal supersymmetry
• One-Loop QCD and Higgs to Partons Processes Using Six-Dimensional Helicity and Generalized Unitarity
• CHY formulae in 4d
• Post-Classicism in Tree Amplitudes

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