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

Authors :
Abhishek, Md.
Hegde, Subramanya
Jatkar, Dileep P.
Saha, Arnab Priya
Suthar, Amit
Publication Year :
2023

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.<br />Comment: 59 pages, 10 figures, Minor changes: improved presentation, Version to appear in JHEP

Subjects

Subjects :
High Energy Physics - Theory

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2311.17763
Document Type :
Working Paper