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GAUGE MODEL OF UNPARTICLES Discovering the UnexpectedPowerPoint Presentation

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

- The very high energy theory contains the fields of the SM and Banks-Zaks fields of a theory with a nontrivial IR fixed point.

GA Kozlov

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

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

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 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 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 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 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 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 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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