1. GAUGE MODEL OF UNPARTICLES Discovering the Unexpected
Gennady A. Kozlov
Bogolyubov Laboratory of Theoretical Physics
JINR, Dubna

2.
GA Kozlov

3.
GA Kozlov

4.
GA Kozlov

5. Mediators, M
SM, m
CFT, m=0
GA Kozlov

6.
GA Kozlov

7. 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

8. CONFORMAL INVARIANCE
At the quantum level, dimensionless couplings depend on scale: renormalization group evolution
QED QCD
are not conformal theories g Q g Q
GA Kozlov 8

9. g Q
GA Kozlov

10.
GA Kozlov

11. 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
GA Kozlov 11

12. 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)
GA Kozlov 12

13.
GA Kozlov

14. TOP-quark DECAY Consider t  u U decay through
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
GA Kozlov 14

15. TOP-quark DECAY Consider t  u U decay through
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
GA Kozlov 15

16. 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
GA Kozlov 16

17.
GA Kozlov

18. 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)
GA Kozlov 18

19.
GA Kozlov

20.
GA Kozlov

21.
GA Kozlov

22.
GA Kozlov

23.
GA Kozlov

24.
GA Kozlov

25.
GA Kozlov

26.
GA Kozlov

27.
GA Kozlov

28.
GA Kozlov

29.
GA Kozlov

30.
GA Kozlov

31.
GA Kozlov

32.
GA Kozlov

33.
GA Kozlov

34.
GA Kozlov

35.
GA Kozlov

36. 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
GA Kozlov 36