R-parity conservation via the Stueckelberg mechanism: LHC and Dark Matter Signals

Abstract

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 ⊗ 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 models at colliders and in dark matter experiments are analyzed including signals of a low mass Z ′ resonance and the production of spin zero bosons and their decays into two photons. In this model two types of dark matter candidates emerge which are Majorana and Dirac particles. Predictions are made for a possible simultaneous observation of new physics events in dark matter experiments and at the LHC.

A call for new physics: The muon anomalous magnetic moment and lepton flavor violation

“…masses can be generated via spontaneous symmetry breaking due to a scalar field charged under the new gauge symmetry, or via the Stueckelberg mechanism [235][236][237][238], where the existence of such a scalar field is not needed. In the former case, in addition to the Lagrangian we will describe below, interactions involving a scalar field would also show up, but we have already determined the g − 2 and µ → eγ contributions stemming from a scalar field.…”

The minimal SUSY B − L model: from the unification scale to the LHC

“…The traditional solution to this problem is to demand that, in addition to the gauge group, the MSSM be invariant under an ad hoc Z 2 finite symmetry -R-parity -which acts on individual component fields as (−1) 3(B−L)+2s . Although there have been many attempts to explain how R-parity can arise in the MSSM [4][5][6][7][8] or be spontaneously…”

Higgs mass and the Stueckelberg mechanism in supersymmetry

“…The Stueckelberg extension of the MSSM has been studied in Ref. [14] for the case where the new symmetry is only relevant for the hidden sector, while a B − L Stueckelberg extension was studied in [15].…”

“…See also Ref. [15] for the application of this mechanism to the conservation of R-parity when the new symmetry is U (1) B−L .…”

“…[15,19,20] for the study of dark matter candidates in models with the Stueckelberg mechanism. Such a scenario allows Yukawa couplings between the right-handed neutrinos and the SM neutrinos indicating that neutrinos are Dirac fermions.…”