R-parity Conservation via the Stueckelberg Mechanism: LHC and Dark Matter Signals
Daniel Feldman, Pavel Fileviez Perez, and Pran Nath

TL;DR
This paper explores how the Stueckelberg mechanism ensures R-parity conservation in supersymmetric models, predicts new collider and dark matter signals, and discusses extended gauge symmetries with potential experimental signatures.
Contribution
It demonstrates that the Stueckelberg mechanism guarantees R-parity conservation in B-L extended supersymmetry and analyzes collider and dark matter signals in minimal and extended models.
Findings
R-parity is conserved via the Stueckelberg mechanism in the minimal B-L model.
Extended models with U(1)_{B-L} x U(1)_X allow for lighter Z' bosons detectable at colliders.
Dark matter candidates include Majorana and Dirac particles with potential signals in experiments.
Abstract
We investigate the connection between the conservation of R-parity in supersymmetry and the Stueckelberg mechanism for the mass generation of the B-L vector gauge boson. It is shown that with universal boundary conditions for soft terms of sfermions in each family at the high scale and with the Stueckelberg mechanism for generating mass for the B-L gauge boson present in the theory, electric charge conservation guarantees the conservation of R-parity in the minimal B-L extended supersymmetric standard model. We also discuss non-minimal extensions. This includes extensions where the gauge symmetries arise with an additional U(1)_{B-L} x U(1)_X, where U(1)_X is a hidden sector gauge group. In this case the presence of the additional U(1)_X allows for a Z' gauge boson mass with B-L interactions to lie in the sub-TeV region overcoming the multi-TeV LEP constraints. The possible tests of the…
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