Double Copy of Form Factors and Higgs Amplitudes: A mechanism of turning spurious poles in Yang-Mills into physical poles in gravity

Abstract

We extend the double copy picture of scattering amplitudes to a class of matrix elements (so-called form factors) that involve local gauge invariant operators. Both the Bern, Carrasco and Johansson (BCJ) and the Kawai, Lewellen and Tye (KLT) formalisms are considered and novel properties are observed. One remarkable feature is that through the double-copy construction, certain spurious poles hidden in the gauge form factors become physical propagators in gravity. This mechanism also reveals new hidden relations for form factors which can be understood as a generalization of the BCJ relations.

6 pages, 4 figures, 4 pages of appendix; ver2, small modifications;

References in corpus (14)

• New Relations for Gauge-Theory Amplitudes
• Minimal Basis for Gauge Theory Amplitudes
• Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program
• Form factors at strong coupling via a Y-system
• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• On form factors in N=4 sym
• A new gauge-invariant double copy for heavy-mass effective theory
• Kinematic Hopf Algebra for BCJ Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory
• Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
• Generalizations of the Double-Copy: the KLT Bootstrap
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• A note on connected formula for form factors
• The connected prescription for form factors in twistor space
• Full-color three-loop three-point form factors in N=4 SYM

Cited by in corpus (6)

• Kinematic Hopf algebra for amplitudes and form factors
• Color-Kinematics Duality for Sudakov Form Factor in Non-Supersymmetric Pure Yang-Mills Theory
• Double copy for tree-level form factors. Part I. Foundations
• A high-precision result for a full-color three-loop three-point form factor in $\mathcal{N}=4$ SYM
• Form factors from string amplitudes
• New relations for tree-level form factors and scattering amplitudes