Phenomenology of a Long-Lived LSP with R-Parity Violation

TL;DR

This paper analyzes experimental constraints on supersymmetric models with R-parity violation and a long-lived lightest superpartner, providing exclusion plots that limit natural parameter space for such models based on collider search data.

Contribution

It offers the first comprehensive recasting of displaced vertex searches for long-lived LSPs in RPV SUSY models, establishing new bounds on their masses and lifetimes.

Findings

Natural SUSY parameter space is excluded for long-lived LSPs with decay lengths over 1 mm.

Recast of CMS and ATLAS displaced vertex searches constrains stop, gluino, and higgsino LSPs.

Exclusion plots in the LSP mass vs. lifetime plane delineate the viable parameter space.

Abstract

We present the leading experimental constraints on supersymmetric models with R-parity violation (RPV) and a long-lived lightest superpartner (LSP). We consider both the well-motivated dynamical RPV scenario as well as the conventional holomorphic RPV operators. Guided by naturalness, we study the cases of stop, gluino, and higgsino LSPs with several possible leading decay channels in each case. The CMS displaced dijet and the ATLAS multitrack displaced vertex searches have been fully recast, with all cuts and vertex reconstruction algorithms applied. Heavy charged stable particle searches by CMS are also applied. In addition, we consider representative bounds for prompt LSP decays that are directly applicable. Our main results are exclusion plots in the $m_{\rm LSP}-\tau_{\rm LSP}$ plane for the various scenarios. We find that the natural parameter space ($m_{\tilde{t}} <800$ GeV, $m_{\tilde{g}}<1500$ GeV, $m_{\tilde{H}}<800$ GeV) is excluded for a long-lived LSP ($\tau_{\rm LSP} \gtrsim 1$ mm).