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Determination of Boundary Contributions in Recursion Relation

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arxiv 1411.0452 v4 pith:GTW76F2V submitted 2014-11-03 hep-th

Determination of Boundary Contributions in Recursion Relation

classification hep-th
keywords theoryalgorithmamplitudesboundarycolor-orderedcontributionsphi-4recursion
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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