Gauge model of unparticles discovering the unexpected
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GAUGE MODEL OF UNPARTICLES Discovering the Unexpected. Gennady A. Kozlov Bogolyubov Laboratory of Theoretical Physics JINR, Dubna. Mediators, M. SM, m. CFT, m=0. 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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Gauge model of unparticles discovering the unexpected

GAUGE MODEL OF UNPARTICLESDiscovering the Unexpected

Gennady A. Kozlov

Bogolyubov Laboratory of Theoretical Physics

JINR, Dubna





Mediators, M

SM, m

CFT, m=0

GA Kozlov



GA Kozlov


Conformal invariance
CONFORMAL INVARIANCE and Banks-Zaks fields of a theory with a nontrivial IR fixed point.

At the quantum level, dimensionless couplings depend on scale: renormalization group evolution

QEDQCD

are not conformal theories

g

g

Q

Q

GA Kozlov


g and Banks-Zaks fields of a theory with a nontrivial IR fixed point.

Q

GA Kozlov


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


Conformal symmetry breaking high energy scale
CONFORMAL Symmetry Breaking & High energy scale and Banks-Zaks fields of a theory with a nontrivial IR fixed point.

g

Q

LU

M

  • Unparticle physics is only possible in the conformal window

  • Width of this window depends on

3 characteristic scales:

-Hidden sector couples at M

  • Conformal

    - EWSB CSB at

GA Kozlov


Unparticle phase space
UNPARTICLE PHASE SPACE and Banks-Zaks fields of a theory with a nontrivial IR fixed point.

  • 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)

GA Kozlov


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


Top quark decay
TOP-quark DECAY and Banks-Zaks fields of a theory with a nontrivial IR fixed point.

Georgi (2007)

  • For dU 1, recover 2-body decay kinematics, monoenergetic u- jet.

  • For dU > 1, however, get continuum of energies; unparticle does not have a definite mass

Consider t  u U decay through

GA Kozlov


Top quark decay1
TOP-quark DECAY and Banks-Zaks fields of a theory with a nontrivial IR fixed point.

Georgi (2007)

  • For dU 1, recover 2-body decay kinematics, monoenergetic u- jet.

  • For 2>dU > 1, however, get continuum of energies; unparticle does not have a definite mass

Consider t  u U decay through

GA Kozlov


3 point couplings
3 POINT COUPLINGS and Banks-Zaks fields of a theory with a nontrivial IR fixed point.

  • 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

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

GA Kozlov


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


Unparticle interactions
UNPARTICLE INTERACTIONS and Banks-Zaks fields of a theory with a nontrivial IR fixed point.

  • Interactions depend on the dimension of the unparticle operator and whether it is scalar, vector, tensor, …

  • Super-renormalizable couplings: Most important (model will follow)

GA Kozlov


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


GA Kozlov and Banks-Zaks fields of a theory with a nontrivial IR fixed point.


Summary for experimentalists
SUMMARY. For experimentalists and Banks-Zaks fields of a theory with a nontrivial IR fixed point.

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

GA Kozlov


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