Abstract
Supersymmetric (SUSY) models with R-parity generically predict sparticle decays with invisible neutralinos, which yield distinctive missing energy events at colliders. Since most LHC searches are designed with this expectation, the putative bounds on sparticle masses become considerably weaker if R-parity is violated so that squarks and gluinos decay to jets with large QCD backgrounds. Here we introduce a scenario in which baryonic R-parity violation (RPV) arises effectively from soft SUSY-breaking interactions, but leptonic RPV remains accidentally forbidden to evade constraints from proton decay and FCNCs. The model features a global R-symmetry that initially forbids RPV interactions, a hidden R-breaking sector, and a heavy mediator that communicates this breaking to the visible sector. After R-symmetry breaking, the mediator is integrated out and an effective RPV A-term arises at tree level; RPV couplings between quarks and squarks arise only at loop level and receive additional suppression. Although this mediator must be heavy compared to soft masses, the model introduces no new hierarchy since viable RPV can arise when the mediator mass is near the SUSY breaking scale. In generic regions of parameter space, a light thermally-produced gravitino is stable and can be a viable dark matter candidate.
Highlights
In the absence of R-parity, the MSSM allows dangerous baryon and lepton violating operators in the superpotential
This mediator must be heavy compared to soft masses, the model introduces no new hierarchy since viable R-parity violation (RPV) can arise when the mediator mass is near the SUSY breaking scale
In this paper we have presented a new realization of weak scale SUSY with R-parity violation
Summary
A viable model of soft RPV requires: Some symmetry G that forbids the usual RPV interactions in the visible sector. A hidden sector (generically distinct from the SUSY breaking sector) that interacts with visible fields through a heavy mediator. To ensure predominantly baryonic RPV in the effective theory, we need lepton number to remain a good, accidental symmetry even after R-breaking. This can be accomplished with an appropriate choice of hidden sector fields. We will use gauge mediation to communicate SUSY breaking to both visible and hidden sectors; perturbative gauge interactions preserve both lepton and baryon number, so leptonic RPV will not arise after
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