Determination of Boundary Contributions in Recursion Relation

Abstract

In this paper, we propose a new algorithm to systematically determine the missing boundary contributions, when one uses the BCFW on-shell recursion relation to calculate tree amplitudes for general quantum field theories. After an instruction of the algorithm, we will use several examples to demonstrate its application, including amplitudes of color-ordered phi-4 theory, Yang-Mills theory, Einstein-Maxwell theory and color-ordered Yukawa theory with phi-4 interaction.

20 pages, 1 appendix

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Cited by in corpus (15)

• On-Shell Recursion Relations for Effective Field Theories
• A Periodic Table of Effective Field Theories
• The 2PM Hamiltonian for binary Kerr to quartic in spin
• Expansion of Einstein-Yang-Mills Amplitude
• The Q-cut Representation of One-loop Integrands and Unitarity Cut Method
• Weights and recursion relations for ${\varphi }^p$ tree amplitudes from the positive geometry
• Form Factor and Boundary Contribution of Amplitude
• The Boostless Bootstrap and BCFW Momentum Shifts
• On Multi-step BCFW Recursion Relations
• Constraining the weights of Stokes Polytopes using BCFW recursions for Phi^4
• Off-shell amplitudes as boundary integrals of analytically continued Wilson line slope
• Boundary Operators of BCFW Recursion Relation
• Note on recursion relations for the $\mathcal{Q}$-cut representation
• Boundary Contributions of On-shell Recursion Relations With Multiple-line Deformation
• Wilson Lines and Boundary Operators of BCFW Shifts