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

A bstract 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 configura...

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Published inThe journal of high energy physics Vol. 2024; no. 5; pp. 1 - 57
Main Authors Abhishek, Md, Hegde, Subramanya, Jatkar, Dileep P., Saha, Arnab Priya, Suthar, Amit
Format Journal Article
LanguageEnglish
Published SpringerOpen 14.05.2024
Subjects
Extended Supersymmetry
Scattering Amplitudes
Spontaneous Symmetry Breaking
Supersymmetric Gauge Theory
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2024)157