Abstract
We study on-shell functions in the kinematic space for the Coulomb branch of \(\mathcal{N}\) = 4 SYM. We construct BCFW bridges that help us build bigger on-shell functions. As a consequence, we provide on-shell diagram formulations for BCFW shifts that correspond to various mass configurations. We will use this to calculate the quadruple cut for the one-loop amplitude on the Coulomb branch and maximal cuts for higher-loops. We make preliminary comments on finding the inequivalent set of on-shell functions for the Coulomb branch.
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Acknowledgments
We thank Sujay K Ashok, Alok Laddha, Arkajyoti Manna, Partha Paul and Aninda Sinha for enlightening discussions. We thank all the participants of ‘Amplitudes @ Chennai’ workshop at the Chennai Mathematical Institute, and ‘Chennai Strings Meeting 2023’ at The Institute of Mathematical Sciences for interesting discussions. Research of APS is supported by DST INSPIRE faculty fellowship.
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Abhishek, M., Hegde, S., Jatkar, D.P. et al. On-shell functions on the Coulomb branch of \(\mathcal{N}\) = 4 SYM. J. High Energ. Phys. 2024, 157 (2024). https://doi.org/10.1007/JHEP05(2024)157
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DOI: https://doi.org/10.1007/JHEP05(2024)157