2010/03/31 by Kaustubh Agashe, Doojin Kim, Manuel Toharia +1 · 1 citation
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Dark matter #Geometry #Homogeneous space #Invariant (physics) #Invariant mass #Mathematics #Parity (physics) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Symmetry (geometry) #hep-ph
paper · pdf · doi:10.1103/physrevd.82.015007
published as Phys.Rev.D82:015007,2010 · 38 pages, 15 figures
openalex publication_date 2010/07/19 · arxiv created 2010/07/29 · arxiv updated 2015/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We emphasize that the stabilizing symmetry for dark matter (DM) particles does not have to be the commonly used parity (Z2) symmetry. We therefore examine the potential of the colliders to distinguish models with parity stabilized DM from models in which the DM is stabilized by other symmetries. We often take the latter to be a Z3 symmetry for illustration. We focus on signatures where a single particle, charged under the DM stabilization symmetry decays into the DM and standard model (SM) particles. Such a Z3-charged mother particle can decay into one or two DM particles along with the same SM particles. This can be contrasted with the decay of a Z2-charged mother particle, where only one DM particle appears. Thus, if the intermediate particles in these decay chains are off-shell, then the reconstructed invariant mass of the SM particles exhibits two kinematic edges for the Z3 case but only one for the Z2 case. For the case of on-shell intermediate particles, distinguishing the two symmetries requires more than the kinematic edges. In this case, we note that certain decay chain topologies of the mother particle which are present for the Z3 case (but absent for the Z2 case) generate a cusp in the invariant mass distribution of the SM particles. We demonstrate that this cusp is generally invariant of the various spin configurations. We further apply these techniques within the context of explicit models.