GAUGE MODEL OF UNPARTICLES Discovering the Unexpected

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GAUGE MODEL OF UNPARTICLESDiscovering the
Unexpected

• Gennady A. Kozlov
• Bogolyubov Laboratory of Theoretical Physics
• JINR, Dubna

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Mediators, M
SM, m
CFT, m0
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• The very high energy theory contains the fields
  of the SM and Banks-Zaks fields of a theory with
  a nontrivial IR fixed point.

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CONFORMAL INVARIANCE

• At the quantum level, dimensionless couplings
  depend on scale renormalization group evolution
• QED
  QCD
• are not conformal
  theories

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g
Q
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CONFORMAL Symmetry Breaking High energy scale

• 3 characteristic scales
• -Hidden sector couples at M
• Conformal
• - EWSB CSB at

g
Q
LU
M

• Unparticle physics is only possible in the
  conformal window
• Width of this window depends on

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UNPARTICLE PHASE SPACE

• The density of unparticle final states is the
  spectral density
• Scale invariance ?
• This is similar to the phase space for n massless
  particles
• Unparticle with dU 1 is a massless particle.
  Unparticles with some other dimension dU look
  like a non-integral number dU of massless
  particles Georgi (2007)

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TOP-quark DECAY

• Consider t ? u U decay through

Georgi (2007)

• For dU ? 1, recover 2-body decay kinematics,
  monoenergetic u- jet.
• For dU gt 1, however, get continuum of energies
  unparticle does not have a definite mass

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TOP-quark DECAY

• Consider t ? u U decay through

Georgi (2007)

• For dU ? 1, recover 2-body decay kinematics,
  monoenergetic u- jet.
• For 2gtdU gt 1, however, get continuum of energies
  unparticle does not have a definite mass

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3 POINT COUPLINGS

• 3-point coupling is determined, up to a constant,
  by conformal invariance

• E.g., LHC gg ? O ? O O ? gggg
• Rate controlled by value of the (strong)
  coupling, constrained only by experiment
• Many possibilities ggZZ, ggee, ggmm,

Photon pT
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UNPARTICLE INTERACTIONS

• Interactions depend on the dimension of the
  unparticle operator and whether it is scalar,
  vector, tensor,
• Super-renormalizable couplings Most important
  (model will follow)

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SUMMARY. For experimentalists

• Unparticles conformal energy window implies high
  energy colliders are the most useful machines
• Real unparticle production ? missing energy
• As for of the SM particles is concerned,
  - staff production looks the same as production
  of massless particles
• Multi-unparticle production ? spectacular signals
• Virtual unparticle production ? rare processes
• Unparticles Quite distinguishable from other HE
  physics through own specific kinematic properties