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The universal Real Projective Plane: LHC phenomenology at one loop. (English) Zbl 1303.81105
Summary: The Real Projective Plane is the lowest dimensional orbifold which, when combined with the usual Minkowski space-time, gives rise to a unique model in six flat dimensions possessing an exact Kaluza Klein (KK) parity as a relic symmetry of the broken six dimensional Lorentz group. As a consequence of this property, any model formulated on this background will include a stable Dark Matter candidate. Loop corrections play a crucial role because they remove mass degeneracy in the tiers of KK modes and induce new couplings which mediate decays. We study the full one loop structure of the corrections by means of counter-terms localised on the two singular points. As an application, the LHC phenomenology of the (2, 0) and (0, 2) tiers is discussed. We identify promising signatures with single and di-lepton, top anti-top and 4 tops: in the di-lepton channel, present data from CMS and ATLAS may already exclude KK masses up to 250 GeV, while by next year they may cover the whole mass range preferred by WMAP data.

MSC:
81T10 Model quantum field theories
81T18 Feynman diagrams
83E15 Kaluza-Klein and other higher-dimensional theories
57R18 Topology and geometry of orbifolds
81R40 Symmetry breaking in quantum theory
83F05 Relativistic cosmology
Software:
FeynRules; CompHep
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