Persistence of supersymmetric positivity patterns at higher points

Determine whether the positivity pattern proposed for four-point interactions in N=1 supersymmetric theories persists for higher-point processes, taking into account the sensitivity of the result to the construction of the operator basis.

Background

The paper establishes positivity constraints and supersymmetric Ward-identity relations for massless four-point amplitudes in N=1 supersymmetric theories. At four points, the number of supersymmetric constraints is sufficient to fix the structure of the component amplitudes and relate their Wilson coefficients.

For higher-point processes, the authors state that there are insufficient equations to determine all component sub-amplitudes. Although higher-point positivity has been studied in non-supersymmetric theories, it remains unresolved whether the four-point pattern identified in this work continues to hold in the supersymmetric setting. The authors emphasize that resolving the issue depends sensitively on how the higher-point operator basis is constructed and leave it for future research.