Violation of supersymmetric equivalence in R parity violating couplings

TL;DR

This paper investigates how R parity violating couplings in supersymmetry can violate the expected equivalence among couplings, with violations reaching up to about 9.4% in certain models due to split supermultiplets.

Contribution

It demonstrates that supersymmetric equivalence among R parity violating couplings can be significantly violated in models with widely split chiral supermultiplets, providing quantitative estimates.

Findings

Violations of SUSY equivalence can reach 5-6% in heavy SQCD models.

Violations can be as large as 9.4% in 2-1 models.

The violation magnitude depends on specific coupling configurations.

Abstract

In this paper we consider the violation of supersymmetric equvalence among the R parity violating couplings $lamabda_{ijk}$ caused by widely split chiral supermultiplets. We find that if $\lambda^{\prime}_{2jk}=g$ and $\lambda^{\prime}_{1jk}=e$ then the violation of SUSY equivalence is of the order of $5-6%$ in heavy SQCD models. On the other hand if $\lambda^{\prime}_{3jk}=g$ and $\lambda_{ijk}=e$ then the violation of SUSY equivalence can be as large as 9.4% in 2-1 models.