Form Factor and Boundary Contribution of Amplitude

Abstract

The boundary contribution of an amplitude in the BCFW recursion relation can be considered as a form factor involving boundary operator and unshifted particles. At the tree-level, we show that by suitable construction of Lagrangian, one can relate the leading order term of boundary operators to some composite operators of N=4 super-Yang-Mills theory, then the computation of form factors is translated to the computation of amplitudes. We compute the form factors of these composite operators through the computation of corresponding double trace amplitudes.

38 pages, 6 figures

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• The Sudakov form factor at four loops in maximal super Yang-Mills theory
• Two-Loop SL(2) Form Factors and Maximal Transcendentality
• All Tree-Level MHV Form Factors in $\mathcal{N}=4$ SYM from Twistor Space
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• A note on connected formula for form factors
• Full-color three-loop three-point form factors in N=4 SYM
• On Form Factors and Correlation Functions in Twistor Space
• Grassmannians and form factors with $q^2=0$ in N=4 SYM theory
• Wilson lines, Grassmannians and Gauge Invariant Off-shell Amplitudes in N=4 SYM
• The all-loop conjecture for integrands of reggeon amplitudes in N=4 SYM
• Grassmannian Integral for General Gauge Invariant Off-shell Amplitudes in N=4 SYM
• Wilson Lines and Boundary Operators of BCFW Shifts