Abstract
The presence of R-parity violating interactions may relieve the tension between existing LHC constraints and natural supersymmetry. In this paper we lay down the theoretical framework and explore models of dynamical R-parity violation in which the breaking of R-parity is communicated to the visible sector by heavy messenger fields. We find that R-parity violation is often dominated by non-holomorphic operators that have so far been largely ignored, and might require a modification of the existing searches at the LHC. The dynamical origin implies that the effects of such operators are suppressed by the ratio of either the light fermion masses or the supersymmetry breaking scale to the mediation scale, thereby providing a natural explanation for the smallness of R-parity violation. We consider various scenarios, classified by whether R-parity violation, flavor breaking and/or supersymmetry breaking are mediated by the same messenger fields. The most compact case, corresponding to a deformation of the so called flavor mediation scenario, allows for the mediation of supersymmetry breaking, R-parity breaking, and flavor symmetry breaking in a unified manner.
Highlights
For over two decades supersymmetry (SUSY) has been widely considered the most likely extension of the Standard Model (SM) to be discovered once energy scales of a TeV are reached
In this work we have explored theories of dynamical R-parity violation, in which the breaking of R-parity is communicated to the visible sector by heavy mediator fields
Asugfugteustreexppulbicliictasteioanrch[54st]rwatiellgpiersesfeonrtththee√pshe=no1m4 TeneoVlorguyne. xpected from these models and The models presented here exhibit an R-parity symmetry which is spontaneously broken in the UV and is communicated to the visible sector via a set of heavy messenger fields
Summary
For over two decades supersymmetry (SUSY) has been widely considered the most likely extension of the Standard Model (SM) to be discovered once energy scales of a TeV are reached. We will refer to the above operators as the “non-holomorphic dRPV operators” The effects of these operators on the low energy physics is automatically suppressed by a high mediation scale, as well as either chirality or supersymmetry breaking, thereby providing a leading order explanation for why the overall effects of RPV are small. Appendix B contains the tables of flavor suppressions for a successful Froggatt-Nielsen model, and appendix C contains some useful supersymmetric identities used throughout the paper
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