Supersymmetry with a sister Higgs boson

We consider a simple addition to the minimal supersymmetric Standard Model (MSSM) of a "sister Higgs" (Σd), a Higgs field that participates in electroweak symmetry breaking but does not give any direct masses to Standard Model matter fields. If this new field carries charge under a new gauge group, Gs, the Higgs mass is naturally much larger than in the MSSM due to a next-to-minimal supersymmetric Standard Model-type interaction, but with Σd playing the role of Hd. The addition of the sister Higgs allows new R-parity violating operators ΣdHdE, which are less constrained than a conventional leptonic R-parity violation. Unification motivates the presence of colored Gs-charged fields, whose production can lead to new b-rich final states and modifications to decays of gluinos, as well as new opportunities for R-parity violation. The presence of additional sister charges allows the possibilities that a lightest sister-charged particle (LSiP) could be stable, although we find the possibility of a LSiP dark matter candidate is generally very constrained.