Basis for Non-Factorizable Superamplitudes in N = 1 Supersymmetry

Abstract

In this paper we develop a semi-standard Young tableau (SSYT) approach to construct a basis of non-factorizable superamplitudes in N = 1 massless supersymmetry. This amplitude basis can be directly translated to a basis for higher dimensional supersymmetric operators, yielding both the number of independent operators and their form. We deal with distinguishable (massless) chiral/vector superfields at first, then generalize the result to the indistinguishable case. Finally, we discuss the advantages and disadvantages of this method compared to the previously studied Hilbert series approach.

18 pages, 8 figures

References in corpus (7)

• Operator bases, $S$-matrices, and their partition functions
• Hilbert Series for Constructing Lagrangians: expanding the phenomenologist's toolbox
• Standard Model Effective Field Theory up to Mass Dimension 12
• AutoEFT: Automated Operator Construction for Effective Field Theories
• Constructing Operator Basis in Supersymmetry: A Hilbert Series Approach
• Counting Operators in $N=1$ Supersymmetric Gauge Theories
• Hidden U(N) Symmetry behind N=1 Superamplitudes