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Universal Extra Dimensions. Universal Extra Dimensions. All Standard Model fields propagate into the bulk, typically 1 or 2 extra dimensions. Momentum conservation principle manifests as a conservation of a parity at each vertex – KK parity Naturally provides a Dark Matter candidate

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universal extra dimensions1
Universal Extra Dimensions
  • All Standard Model fields propagate into the bulk, typically 1 or 2 extra dimensions.
  • Momentum conservation principle manifests as a conservation of a parity at each vertex – KK parity
    • Naturally provides a Dark Matter candidate
  • Excited modes mimic Standard Model zero modes.
  • Minimal number of extra parameters
    • R, Λ and mH
toy derivation of scalar lagrangian
Toy derivation of scalar Lagrangian
  • Heuristic derivation showing how mass terms appear – infinite tower of KK modes
dark matter candidates analysis by servant tait
Dark Matter CandidatesAnalysis by Servant & Tait
  • Neutral Weak Gauge Boson B1
    • Strongest CDM candidate
  • Neutrino
    • disfavored by present limits from direct detection experiments
why b 1
Why B(1)?
  • The mass matrix that governs the mixing between the neutral weak gauge bosons is
  • The B(1) is mostly photon
what s involved
What’s involved?
  • If UED theories are incorrect, the LHC will be able to exclude them in their present form.
    • Cosmological constraints place R within the reach of LHC energies.
  • Confirmation of the theory will require more extensive statistics, because SUSY will have the same signature(s) as UEDs within the statistical reach, at the KK1 level.
  • Require higher statistics → better angular resolution of decay products → spin determination
  • Correlation with cosmological experiments
  • Require resolution of higher KK modes for model resolution
servant tait prediction for b 1 h 2
Servant, TaitPrediction for ΩB(1)h2
  • hep-ph/0206071
  • Graph plotted in 2002 – slightly outdated
  • Lower band should span 0.09 to 0.13 corresponding to m = 750 - 950 GeV, using latest WMAP results
requirements for dark matter candidacy
Requirements for Dark Matter Candidacy
  • There must exist a stability mechanism
    • KK Parity conservation
  • Electrically neutral
    • Charged particles could interact with zero mode, and we would have seen them
  • Coannihilation
lightest kaluza klein particle lkp
Lightest Kaluza-Klein Particle (LKP)
  • Stable by virtue of KK parity conservation
  • All heavier odd-mode particles eventually annihilate/decay into the LKP
  • KK parity conserved at all levels
radiative corrections to masses at lower limit of r
radiative corrections to massesat lower limit of R
  • Weak gauge boson masses receive almost no correction
  • Lepton mass correction are a few percent
  • Gluons & quark masses receive large corrections
radiative corrections to masses at upper limit of r
radiative corrections to massesat upper limit of R
  • Weak gauge boson masses receive almost no correction
  • Lepton mass correction are a few percent
  • Gluons & quark masses receive large corrections, but smaller than with smaller R
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