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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





Gauge model of unparticles discovering the unexpected

Mediators, M

SM, m

CFT, m=0

GA Kozlov



Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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

Q

GA Kozlov


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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


Gauge model of unparticles discovering the unexpected

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