Abstract
In this note, we study the \( \mathcal{Q} \)-cut representation by combining it with BCFW deformation. As a consequence, the one-loop integrand is expressed in terms of a recursion relation, i.e., n-point one-loop integrand is constructed using tree-level amplitudes and m-point one-loop integrands with m ≤ n − 1. By giving explicit examples, we show that the integrand from the recursion relation is equivalent to that from Feynman diagrams or the original \( \mathcal{Q} \)-cut construction, up to scale free terms.
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Feng, B., He, S., Huang, R. et al. Note on recursion relations for the \( \mathcal{Q} \)-cut representation. J. High Energ. Phys. 2017, 8 (2017). https://doi.org/10.1007/JHEP01(2017)008
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DOI: https://doi.org/10.1007/JHEP01(2017)008