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On-shell functions on the Coulomb branch of \(\mathcal{N}\) = 4 SYM

  • Md. Abhishek,
  • Subramanya Hegde,
  • Dileep P. Jatkar,
  • Arnab Priya Saha,
  • Amit Suthar

摘要

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.