Systematic investigation of long-lived LSP signatures

Establish a systematic and detailed investigation of the long-lived lightest supersymmetric particle regime in the R-parity-violating Minimal Supersymmetric Standard Model, including the collider signatures associated with observable LSP decay lengths.

Background

The ABC-RPV framework developed in the paper restricts attention to prompt lightest supersymmetric particle (LSP) decays through LQD couplings. The authors note that the framework can in principle be extended to long-lived LSPs, but their analysis does not address this parameter region.

A long-lived LSP would produce experimentally distinctive signatures, such as displaced decays, rather than the prompt-decay final states studied throughout the paper. A systematic treatment would therefore extend the phenomenological coverage of the R-parity-violating Minimal Supersymmetric Standard Model beyond the prompt-decay assumption used in the benchmark analyses.

References

A consistent pole spectrum, decay calculation and search interpretation are needed to assign the surviving mass range. Figures~\ref{fig:baseline} and \ref{fig:masscorrelations} therefore display the baseline-selected spectra, including points whose LHC status is unresolved.

— Neutralino Dark Matter in SU(5) after H.E.S.S. and Direct-Detection Searches  (2609.19675 - Ajaib et al., 17 Sep 2026) in Section 4.2, “Gaugino ratios and compressed spectra”

While the ABC-RPV framework can be extended to cover the long-lived LSP regime, a systematic and detailed investigation of this region of the parameter space lies beyond the scope of the present work and is left for future study.

— The ABC of RPV III: Classification of R-parity Violating Signatures from LQD Couplings and their Coverage at the LHC  (2608.21033 - Dreiner et al., 21 Aug 2026) in Section 2, page 4